Numerical Modeling & Monitoring of Structures
At NM2S, we push the boundaries of engineering by seamlessly merging computational simulation with cutting-edge experimental testing and data analysis. Our pioneering research unravels the complexities of mechanics, unlocking new possibilities for innovation across industries.By harnessing advanced simulation techniques and real-world testing, we deliver deeper insights, greater accuracy, and transformative solutions. Whether you are in academia, industry, or research, our expertise can help shape the future of engineering with precision and reliability.Discover how the NM2S research group is redefining the standards of mechanical research and structural health monitoring. Explore our work and join us in engineering the next breakthrough.
Latest Publications
The Team
Prof. Francesco Freddi
Associate Professor
Dr. Lorenzo Mingazzi
Postdoc Research Associate
Dr. Giovanni Bianchi
Postdoc Research Associate
Dr. Giulia Di Credico
Postdoc Research Associate
Hamed Hasani
Ph.D. Student
Chiara Fanelli
Ph.D. Student
At NM2S, our team is the heartbeat of innovation. We’re a dynamic, interdisciplinary group of experts hailing from civil engineering, computational applied mathematics and experimental research. United by a shared passion for discovery, our backgrounds empower us to bridge the gap between complex theory and practical solutions. Together, we tackle challenging problems, push the boundaries of computational mechanics and structural health monitoring, driving forward the future of engineering technology with creativity, precision, and a commitment to excellence.
Prof. Francesco Freddi is an Associate Professor of Solid and Structural Mechanics at the Department of Engineering and Architecture, University of Parma. He has been in this role since March 2015, following a tenure as an Assistant Professor at the same institution from 2007 to 2015. He has held research positions at prestigious institutions, including a postdoctoral fellowship at the Laboratoire Central des Ponts et Chaussées in Paris.Prof. Francesco Freddi research focuses on computational mechanics, fracture mechanics, structural health monitoring, and the development of innovative instrumentation for structural assessment. His work has made significant contributions to damage mechanics, delamination phenomena in composites, and the deterioration of stone materials. He has extensive collaborations with industry leaders in structural monitoring and seismic risk assessment.
Major Awards and Recognitions
2022-2023: Scientific Collaborator, School of Civil Engineering, Tongji University
2021: Research Fellow, IAC-CNR Rome (Concrete Carbonation Modeling Project)
2017-2021: Research Fellow, IAC-CNR Rome (Numerical Modeling of PDE)
2017: Visiting Professor, Institut Jean Le Rond d'Alembert, Université Pierre et Marie Curie, Paris
2016: Visiting Professor, Institute of Applied Mechanics, Technische Universität Braunschweig
2005: Fellowship Award, MIT Conference on Computational Fluid and Mechanics, Cambridge, USA
Recent research Grants and R&D Contracts
2024-Present: "EURAD-2: European Partnership on Radioactive Waste Management - 2"
2023-2025: "TWYRES: A Digital Twin for Fracture and Fatigue Simulations in Tyres"
2023-2025: "MATHPROCULT: Mathematical Tools for Predictive Maintenance and Protection of Cultural Heritage"
2022-Present: Marie Curie Doctoral Network CIRCOPAV: "Dynamic Interactive Digital Monitoring Systems for Bridge Management"
2022-Present: Member and Founder of National Center for Sustainable Mobility (NextGenerationEU)
2022-Present: Member and Founder of ECOSISTER Hub for Smart Mobility and Infrastructure
Multiple R&D contracts with industry partners for bridge monitoring, structural health assessment, and development of innovative instrumentation
Dr. Lorenzo Mingazzi joined the University of Parma in 2019 and obtained his Ph.D. in 2023 with Laude for his thesis, "Predictive Model for Carbonation Corrosion Phenomena in Reinforced Concrete Elements." He is currently a Postdoctoral Research Assistant at the Department of Engineering and Architecture.Dr. Mingazzi's research spans multiple areas, including the advancement of numerical models for fracture mechanics, predictive coupled multiphysics models and surrogate models for reinforced concrete degradation within the EURAD-2 project, numerical modeling for cultural heritage preservation, and structural health monitoring for seismic-affected churches within the ECOSISTER Project. His work focuses on developing models that deliver practical and impactful solutions to real-world structural challenges.
Research Topics
Computational Fracture Mechanics
Coupled Multi-physics Modelling
Composite materials
Reinforced concrete Degradation and Corrosion
Mathematical Models for Cultural Heritage preservation
Structural Health Monitoring
Dr. Giovanni Bianchi is an associate Postdoctoral Researcher at the University of Parma's Department of Engineering and Architecture, specializing in digital technologies and monitoring systems for railway transport. His research aims to enhance sustainable railway mobility by improving maintenance management, safety, and reducing environmental impact.Dr. Bianchi's recent work includes developing an AI-based predictive structural health monitoring strategy for bonded insulated rail joints using digital twins under varied bolt conditions. This study integrates finite element analysis with machine learning classifiers to accurately assess infrastructure conditions, contributing to more efficient maintenance strategies. His research is supported by the National Recovery and Resilience Plan (NRRP), focusing on sustainable mobility. His work integrates advanced mathematical, engineering, and computational tools to develop efficient data acquisition systems, aiming to minimize lifecycle costs and environmental footprints of railway infrastructures.
Research Topics
Digital Technologies and Monitoring Systems
Sustainable Mobility and Environmental Impact
Railway Maintenance Management and Safety Enhancement
Railway Infrastructure Lifecycle Cost and Environmental Footprint Reduction
Dr. Giulia Di Credico currently focuses on developing advanced numerical models for cultural heritage preservation, specifically simulating capillary water absorption in monumental stones affected by carbonation and the progressive damage caused by salt crystallization. Her work integrates multiphysics modeling to predict these degradation processes, supporting conservation strategies for historic structures.Over the years, Dr. Di Credico's research has covered a wide range of topics in applied mathematics and computational mechanics. She has contributed to the advancement of numerical methods for elastodynamics, the study of complex contact and frictional problems, and the optimization of time-domain boundary element methods. Her expertise also includes high-precision techniques for handling singularities in integral operators, all aimed at creating efficient and reliable computational tools. Her work reflects a strong dedication to creating robust, efficient, and precise computational models for challenging dynamic and structural problems in both engineering and heritage conservation contexts.
Research Topics
Numerical Models for Cultural Heritage Preservation
Numerical Methods for Elastodynamics
Contact Problems in Elastodynamics
Algorithmic Aspects of Time-Domain Boundary Element Methods
Treatment of Singularities in Integral Operators
Hamed Hasani is a final year Ph.D. Student at Parma University in structural engineering, conducting research on 'Dynamic Interactive Digital Monitoring Systems for Bridge Management' as part of his academic involvement in the European Union MSCA-funded CIRCOPAV project. He has carried out extensive academic research on structural health monitoring and structural rehabilitation approaches.His research currently focuses on novel modal identification techniques in both the time and frequency domains, in conjunction with state-of-the-art wireless data acquisition systems, aimed at enhancing the continuous and real-time monitoring of bridges. The primary objective of the project is to address the increasing demand for environmentally friendly road construction methods and materials with a reduced carbon footprint while simultaneously bolstering their resilience against the challenges posed by climate change.
Research Topics
Structural Health Monitoring (SHM)
AI techniques for Data Analysis
Operatinal Modal Analysis (OMA)
Bridge Damage Detection and Severity Assessment
Wireless Data Acquisition Systems
Chiara Fanelli is a final-year Ph.D. Student at the University of Parma's Department of Structural Engineering, conducting research on 'Innovative Monitoring Systems for Railways' in collaboration with SISGEO s.r.l. Her research focuses on developing and applying advanced monitoring techniques for railway infrastructure, emphasizing signal processing and data analysis to enhance the performance and reliability of railway systems.In her work, she explores the integration of various monitoring technologies, including accelerometers and strain gauges, to collect real-time data on railway structures. She employs sophisticated signal processing algorithms to analyze this data, enabling the early detection of structural anomalies and facilitating proactive maintenance strategies. This approach aims to extend the lifespan of railway assets, improve safety standards, and reduce operational costs.
Research Topics
Development of Innovative Monitoring Systems for Railway infrastructure
Application of Structural Health Monitoring
Integration of Data Acquisition and Analysis Tools
Collaboration with Industry Partners
Research
NM2S specializes in the seamless integration of advanced numerical simulations, experimental testing, and state-of-the-art sensing technologies to address complex challenges in Computational Mechanics and Structural Health Monitoring.We develop high-fidelity computational models to decode the intricate behaviors governing a wide range of materials and structures. By combining rigorous computational analysis with cutting-edge diagnostics, we establish innovative methodologies to assess, predict, and enhance structural integrity. Our work provides insights that contribute to the safety, reliability, and longevity of engineering systems across diverse applications.Through a multidisciplinary approach, we bridge the gap between theoretical modeling and practical implementation, offering solutions that are both scientifically robust and directly applicable to real-world engineering challenges.
Numerical Models
Structural Health Monitoring
Research & Development
Numerical Modeling
At NM2S, our work in the field of Numerical Modeling represents the convergence of advanced numerical techniques with cutting-edge experimental analysis. Our research delves into the intricacies of simulating real-world phenomena, where rigorous mathematical formulations meet practical applications. By developing state-of-the-art computational models, we unravel complex interactions in materials and structures, transforming abstract theories into tangible, impactful solutions.
Fracture
Mechanics
Coupled
Multiphysics
Cultural
Heritage
Structural Health Monitoring
At NM2S, we are pioneering advanced Structural Health Monitoring (SHM) solutions to ensure the safety and longevity of critical infrastructures. We combine advanced data analytics powered by machine learning with state-of-the-art sensor technology to continuously monitor structures in real time.By leveraging AI, digital twins, and state-of-the-art sensor systems, NM2S is redefining the standards of Structural Health Monitoring. Our goal is to provide robust, predictive solutions that not only detect potential issues but also proactively address them, ensuring the resilience and safety of vital infrastructure.
Continuous Health
Monitoring
Modal
Identification
Damage
Localization
Fracture Mechanics
We are dedicated to pioneering advancements in material durability and structural integrity by delving into the complexities of Fracture Mechanics. Our approach combines rigorous theoretical enhancements with practical applications, ensuring that our models not only deepen understanding but also address real-world challenges. This dual focus allows us to bridge the gap between fundamental research and tangible solutions, contributing to the development of safer, more resilient materials and structures across various industries.
Phase-Field Methods for Material Fracture
Our team is at the forefront of refining phase-field methods, a sophisticated computational approach that seamlessly models complex fracture behaviors without the need for explicit crack tracking. We have developed innovative energetic approaches as well as adaptive algorithms that enhance computational efficiency and accuracy, enabling precise simulations of brittle and cohesive fractures.
Composite Materials
In the realm of composite materials, understanding and predicting interface damage are crucial for ensuring structural reliability. Our research delves into the behavior of laminated composites, employing both potential-based and gradient-based approaches to simulate delamination and debonding phenomena. By developing models that accurately represent interfacial failures, we contribute to the design of more resilient composite structures, advancing their applications across various industries.
Cohesive Zone Models
Cohesive Zone Models (CZMs) are pivotal in our research, offering a nuanced understanding of fracture processes. By defining traction-separation relationships, CZMs simulate the fracture process zone ahead of a crack tip, providing a more accurate depiction of material failure compared to traditional linear elastic fracture mechanics.
Publications on Fracture Mechanics
Coupled Multiphysics
A hallmark of our research is the integration of advanced numerical models to study complex coupled phenomena in real-world scenarios. This methodology allows us to comprehensively address coupled problems, such as the transport-diffusion-reaction processes such as corrosion in reinforced concrete, craquelure in painting and chemo-mechanical degradation of monumental stones. Our active involvement in the EuRad-2 project further exemplifies our commitment to pioneering innovative solutions through collaborative research and the seamless fusion of theory with practical application.
Our research is distinguished by the seamless integration of advanced numerical approaches to simulate and analyze complex fracture phenomena driven by a multitude of environmental factors. This combined methodology enables us to tackle real-world engineering challenges with innovative solutions, enhancing the durability and reliability of structures across various sectors.
Cover cracking in carbonated reinforced concrete. Results report: Moisture, Carbon Dioxide, Carbonation area, Rebar corrosion and Cracking.
Publications on Coupled Multiphysics problems
Cultural Heritage Preservation
At NM2S, Cultural Heritage preservation is one of the cornerstones of our research. By merging advanced mathematical modeling with rigorous experimental analysis. We specialize in developing and applying coupled multiphysics models that capture the complex interactions governing the deterioration of heritage materials. By investigating the transport-diffusion-reaction processes that drive degradation, our research provides a deep understanding of how environmental and mechanical factors contribute to the aging of monument materials.Our work extends to experimental investigations on monumental stones and the detailed analysis of craquelure in paintings, where numerical simulations complement hands-on laboratory experiments. Our participation in initiatives like MathProCult exemplifies our commitment to integrating theory with practice, ensuring that our models are not only mathematically robust but also directly applicable to real-world conservation challenges.
Numerical investigation of moisture induced craquelure patterns in historical paintings
Publications on numerical models for Cultural Heritage preservation
Continuous Health Monitoring
Our Continuous Health Monitoring system employs artificial neural networks to process continuous streams of sensor data, ensuring real-time updates to structural models that reflect the true behavior of the monitored infrastructure at every moment. This continuous monitoring approach not only detects subtle changes in dynamic characteristics but also enables predictive maintenance by identifying early warning signs before they escalate into critical failures.Our technology transforms vast amounts of raw data into clear, actionable insights, offering a comprehensive view of structural performance across time. Automated model updating and anomaly detection algorithms work seamlessly to highlight areas of concern, allowing asset managers and engineers to focus resources where they are most needed.With an emphasis on intuitive and user-friendly interfaces, we make complex analytics accessible to both technical experts and decision-makers. Interactive dashboards and visual tools offer real-time monitoring at a glance, facilitating quick and confident decisions that enhance safety, reduce costs, and maximize the longevity of critical infrastructure.
Publications on Structural Health Monitoring
Modal Identification
At NM2S, we are at the forefront of integrating cutting-edge Modal Identification techniques to enhance structural health monitoring (SHM). Our approach combines advanced signal decomposition methods with machine learning algorithms to automate and refine the identification of modal parameters. This integration allows for accurate detection of structural anomalies with minimal manual intervention, ensuring timely maintenance and optimal safety. By embracing these state-of-the-art technologies, we provide innovative solutions that meet the evolving demands of modern infrastructure monitoring.
Publications on Structural Health Monitoring
Damage Localization
In the field of structural health monitoring, identifying the presence of damage is only the first step. The true challenge lies in precisely locating damage and accurately quantifying its severity. Subtle cracks, barely visible impact damage, and internal defects can compromise the integrity of critical structures long before they become apparent to the naked eye. Traditional methods often fall short in providing both high spatial resolution and reliable assessment of damage progression.Using advanced data processing, machine learning, and minimal sensor configurations, we aim to deliver precise maps of damage location while also characterizing how extensive or critical the damage is. This dual focus enables better maintenance planning, minimizes downtime, and extends the life and reliability of critical structures. Our approach is not just about detection — it's about understanding, measuring, and managing damage before it becomes a threat.
Monitoring system employed for the damage detection at the Morandi bridge in Borgo Val di Taro
Publications on Structural Health Monitoring
R&D Support
We offer support for companies interested to push further their market offering by providing aid in the research and development process of innovative products to shape the future of their market. Integrating our FEM modelling knowledge with the experimental capabilites and advanced state of the art data analysis techniques we will help you reducing the costs and times required to develop your new success.
Partners
FIAMA
NM2S partnered with FIAMA to push the boundaries of wireless sensing technology. Our R&D effort focused on two key aspects: achieving seamless wireless synchronization across distributed sensors and fine-tuning their calibration to ensure precise measurements. By integrating these advanced features into the data acquisition system, we enabled real-time, reliable monitoring for operational modal analysis of bridges.
SISGEO
In collaboration with SISGEO, our R&D work focused on advancing geotechnical and structural monitoring through the development and rigorous laboratory assessment of an innovative in-place inclinometer chain—the MD-Profile. NM2S supported the calibration of MEMS sensors using a high-precision calibration bench and designed specialized test setups to evaluate both individual sensor elements and the complete sensor chain, while also implementing a novel centering device that eliminates installation issues associated with traditional grooved tubes to ensure reliable, repeatable measurements.
Ongoing Projects
NM2S is actively engaged in several National and European projects, pushing the boundaries of computational modeling and structural health monitoring to develop innovative solutions for complex engineering challenges.
International Projects
EuRad-2
NM2S is pioneering the development of coupled multi-physics Finite Element and Surrogate models within the HERMES and SUDOKU work packages to advance the safety and reliability of Radioactive Waste Management.
CIRCOPAV
NM2S contributes to the CIRCOPAV project by developing dynamic digital monitoring systems for bridge management. Our goal is to enable efficient real-time assessment, supporting proactive maintenance and ensuring the resilience of road infrastructures.
National Projects
ECOSISTER - SPOKE 4
NM2S, as part of the ECOSISTER project, investigates traffic-induced vibrations affecting significant buildings. Our research aims to develop innovative monitoring and assessment methods to proactively address potential structural damages, ensuring the preservation and resilience of architectural heritage in Emilia-Romagna.
MATHPROCULT
NM2S is dedicated to advancing cultural heritage preservation through the development of innovative numerical models. By integrating computational techniques with cultural heritage studies, NM2S bridges the gap between technology and tradition, ensuring that our shared history is preserved for future generations.
MOST - SPOKE 4
NM2S innovative work on MOST’s Spoke 4 project has set a new benchmark in digital twin development and advanced railway monitoring. Leveraging state-of-the-art instrumentation, we precisely assessed fatigue and mechanical performance, distinguishing elastic track settlements from ballast issues to enhance infrastructure reliability.
TWYRES
NM2S contributing to the TWYRES project by developing advanced numerical tools to simulate elastomer behavior under extreme loading conditions. Our work focuses on creating predictive models that accurately capture failure mechanisms in pneumatic tires, facilitating virtual testing and optimization of tire designs.
ARIA
NM2S is spearheading the development of advanced digital monitoring tools that accurately record and analyze the odor emissions of heated bitumen. By incorporating porous PUW into the mixture, we not only reduce undesirable odors but also enhance material performance, demonstrating our commitment to innovative and sustainable solutions.
Resources
Here you will find links to a collection of resources that highlight our key achievements and innovations, offering an in-depth look at the technical aspects of the projects we've developed, showcasing our capabilities and the cutting-edge solutions we've implemented.
Latest Publications
Publications List
2025
Hasani, H., & Freddi, F. (2025). Bridge Health Monitoring: A Review of Utilizing the Internet of Things, Digital Twin, and Advanced Technologies. In Springer Tracts in Civil Engineering (pp. 423–447). Springer Nature Singapore. https://doi.org/10.1007/978-981-97-8975-7_15
Mingazzi, L., & Freddi, F. (2025). Cover Cracking in Carbonated Reinforced Concrete—A Coupled Multi-physics Model. In Lecture Notes in Mechanical Engineering (pp. 11–22). Springer Nature Switzerland. https://doi.org/10.1007/978-3-031-76591-9_2
Mingazzi, L. & Freddi, F., (2025). Moisture-Driven Failure Mechanisms in Historical Paintings: A Phase-Field Approach. [Under review - Submitted to Journal of the Mechanics and Physics of Solids] https://doi.org/10.2139/ssrn.5164996
Freddi, F., & Riva, F. (2025). Potential‐based versus non potential‐based cohesive models accounting for loading and unloading with application to sliding elastic laminates [Preprint, Version 1]. arXiv. https://doi.org/10.48550/arxiv.2503.02742
Bianchi, G., Freddi, F., Giuliani, F., et al. (2025). Implementation of an AI‐based predictive structural health monitoring strategy for bonded insulated rail joints using digital twins under varied bolt conditions. Railway Engineering Science. https://doi.org/10.1007/s40534-024-00371-3
Bianchi, G., Fanelli, C., Freddi, F., Giuliani, F., & La Placa, A. (2025). Systematic review railway infrastructure monitoring: From classic techniques to predictive maintenance. Advances in Mechanical Engineering, 17(1). https://doi.org/10.1177/16878132241285631
2024
Hasani, H., & Freddi, F. (2024). Artificial neural network‐based automated finite element model updating with an integrated graphical user interface for operational modal analysis of structures. Buildings, 14, 3093. https://doi.org/10.3390/buildings14103093
Xue, L., Ren, X., & Freddi, F. (2024). Analytical solution of a gradient‐enhanced damage model for quasi‐brittle failure. Applied Mathematical Modelling, 132, 342–365. https://doi.org/10.1016/j.apm.2024.04.053
Feng, Y., Freddi, F., Li, J., & Ma, Y. E. (2024). Phase‐field model for 2D cohesive‐frictional shear fracture: An energetic formulation. Journal of the Mechanics and Physics of Solids, 189, 105687. https://doi.org/10.1016/j.jmps.2024.105687
Korec, E., Mingazzi, L., Freddi, F., et al. (2024). Predicting the impact of water transport on carbonation‐induced corrosion in variably saturated reinforced concrete. Mater. Struct., 57, 91. https://doi.org/10.1617/s11527-024-02374-2
Hasani, H., Freddi, F., Piazza, R., & Ceruffi, F. (2024). A wireless data acquisition system based on MEMS accelerometers for operational modal analysis of bridges. Sensors, 24(7), 2121. https://doi.org/10.3390/s24072121
La Placa, A., Freddi, F., & Giuliani, F. (2024). Monitoring of insulated rail joints based on gap value measurement. Urban Rail Transit, 10, 28–41. https://doi.org/10.1007/s40864-023-00206-0
2023
Hasani, H., & Freddi, F. (2023). Operational modal analysis on bridges: A comprehensive review. Infrastructures, 8(12), 172. https://doi.org/10.3390/infrastructures8120172
Freddi, F., Mingazzi, L., Pozzi, E., & Aresi, N. (2023). Laboratory assessment of an in‐place inclinometer chain for structural and geotechnical monitoring. Sensors, 23(20), 8379. https://doi.org/10.3390/s23208379
Garilli, E., Autelitano, F., Freddi, F., et al. (2023). Impact of pedestrian pavement design on the users’ comfort level in an intermodal passenger terminal. International Journal of Pavement Research and Technology. https://doi.org/10.1007/s42947-023-00366-z
Mingazzi, L., (2023). Predictive model for Carbonation Corrosion Phenomena in Reinforced Concrete Elements. Università degli Studi di Parma, https://www.repository.unipr.it/handle/1889/5374
Freddi, F., & Mingazzi, L. (2023). Adaptive mesh refinement for the phase field method: A FEniCS implementation. Applications in Engineering Science, 14, 100127. https://doi.org/10.1016/j.apples.2023.100127
La Placa, A., Freddi, F., & Giuliani, F. (2023). Bonded insulated rail joint monitoring using gap opening variation with fibre optic sensors: Analytical validation and limits. Transportation Research Procedia, 74, 1007–1014. https://doi.org/10.1016/j.trpro.2023.11.237
Andriulo, G. (2023). Applicative experience of Italian guidelines for safety and monitoring of existing bridges. European Transport/Trasporti Europei, 94, 1–16. https://doi.org/10.48295/et.2023.94.6
Bonetti, E., Cavaterra, C., Freddi, F., Grasselli, M., & Natalini, R. (2023). A nonlinear model for marble sulphation including surface rugosity and mechanical damage. Nonlinear Analysis: Real World Applications (Vol. 73, p. 103886). https://doi.org/10.1016/j.nonrwa.2023.103886
2022
Freddi, F., & Mingazzi, L. (2022). A predictive phase-field approach for cover cracking in corroded concrete elements. Theoretical and Applied Fracture Mechanics (Vol. 122, p. 103657). Elsevier BV. https://doi.org/10.1016/j.tafmec.2022.103657
Freddi, F., & Mingazzi, L. (2022). Mesh refinement procedures for the phase field approach to brittle fracture. Computer Methods in Applied Mechanics and Engineering (Vol. 388, p. 114214). https://doi.org/10.1016/j.cma.2021.114214
2021
Garilli, E., Autelitano, F., Freddi, F., & Giuliani, F. (2021). Urban pedestrian stone pavements: measuring functional and safety requirements. International Journal of Pavement Engineering (Vol. 23, Issue 13, pp. 4748–4759). https://doi.org/10.1080/10298436.2021.1975195
Bonetti, E., Cavaterra, C., Freddi, F., & Riva, F. (2021). On a phase‐field model of damage for hybrid laminates with cohesive interface. Mathematical Methods in the Applied Sciences (Vol. 45, Issue 7, pp. 3520–3553). https://doi.org/10.1002/mma.7999
Freddi, F., & Mingazzi, L. (2021). Phase-field simulations of cover cracking in corroded RC beams. Procedia Structural Integrity (Vol. 33, pp. 371–384). https://doi.org/10.1016/j.prostr.2021.10.045
2020
Andriulo, G., Freddi., F., Mattina, P., (2020). A strategy of quick hierarchization of road bridge maintenance activities. European Transport/Trasporti Europei (Vol. 80, Issue ET.2020, pp. 1–18). https://doi.org/10.48295/et.2020.80.4
Bonetti, E., Cavaterra, C., Freddi, F., Grasselli, M., & Natalini, R. (2020). Chemomechanical Degradation of Monumental Stones: Preliminary Results. Springer INdAM Series (pp. 59–72). https://doi.org/10.1007/978-3-030-58077-3_4
Freddi, F., & Mingazzi, L. (2020). Phase Field Simulation of Laminated Glass Beam. Materials (Vol. 13, Issue 14, p. 3218). https://doi.org/10.3390/ma13143218
Alessi, R., Freddi, F., & Mingazzi, L. (2020). Phase-field numerical strategies for deviatoric driven fractures. Computer Methods in Applied Mechanics and Engineering (Vol. 359, p. 112651). https://doi.org/10.1016/j.cma.2019.112651
Brunetti, M., Freddi, F., & Sacco, E. (2020). Layered Phase Field Approach to Shells. Lecture Notes in Mechanical Engineering (pp. 427–437). https://doi.org/10.1007/978-3-030-41057-5_36
2019
Alessi, R., & Freddi, F. (2019). Failure and complex crack patterns in hybrid laminates: A phase-field approach. Composites Part B: Engineering (Vol. 179, p. 107256). https://doi.org/10.1016/j.compositesb.2019.107256
Freddi, F. (2019). Fracture energy in phase field models. Mechanics Research Communications (Vol. 96, pp. 29–36). https://doi.org/10.1016/j.mechrescom.2019.01.009
2017
Freddi, F., Sacco, E., & Serpieri, R. (2017). An enriched damage-frictional cohesive-zone model incorporating stress multi-axiality. Meccanica (Vol. 53, Issue 3, pp. 573–592). https://doi.org/10.1007/s11012-017-0777-z
Alessi, R., & Freddi, F. (2017). Phase-field modelling of failure in hybrid laminates. Composite Structures (Vol. 181, pp. 9–25). https://doi.org/10.1016/j.compstruct.2017.08.073
Bonetti, E., Cavaterra, C., Freddi, F., Grasselli, M., & Natalini, R. (2017). A nonlinear model for marble sulphation including surface rugosity: theoretical and numerical results (Version 1). arXiv. https://doi.org/10.48550/ARXIV.1710.01225
Freddi, F., & Royer Carfagni, G. (2017). Generalized phase‐field models for brittle and ductile fracture. Proceedings of the 14th International Conference on Fracture (ICF 2017), 2, 642–643.
Ottoni, F., Freddi, F., & Zerbi, A. (2017). From "models" to "reality", and return: Some reflections on the interaction between survey and interpretative methods for built heritage conservation. International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences, XLII-5/W1, 457–465. https://doi.org/10.5194/isprs-archives-XLII-5-W1-457-2017
Freddi, F., & Iurlano, F. (2017). Numerical insight of a variational smeared approach to cohesive fracture. Journal of the Mechanics and Physics of Solids (Vol. 98, pp. 156–171). https://doi.org/10.1016/j.jmps.2016.09.003
Bonetti, E., Freddi, F., & Segatti, A. (2016). An existence result for a model of complete damage in elastic materials with reversible evolution. Continuum Mechanics and Thermodynamics (Vol. 29, Issue 1, pp. 31–50). https://doi.org/10.1007/s00161-016-0520-3
2016
Freddi, F., & Sacco, E. (2016). A damage model for a finite thickness composite interface accounting for in-plane deformation. Engineering Fracture Mechanics (Vol. 163, pp. 396–415). https://doi.org/10.1016/j.engfracmech.2016.06.001
Freddi, F., & Royer-Carfagni, G. (2016). Phase-field slip-line theory of plasticity. Journal of the Mechanics and Physics of Solids (Vol. 94, pp. 257–272). https://doi.org/10.1016/j.jmps.2016.04.024
Freddi, F., & Sacco, E. (2016). An interphase model for the analysis of the masonry-FRP bond. Composite Structures (Vol. 138, pp. 322–334). https://doi.org/10.1016/j.compstruct.2015.11.041
2015
Carrara, P., & Freddi, F. (2015). Mechanics of masonry structures strengthened with composite materials. Proceedings of the 4th International Conference on Mechanics of Masonry Structures Strengthened with Composite Materials (MuRiCO 2014), 624, 486–493. https://doi.org/10.4028/www.scientific.net/KEM.624.486
Freddi, F., & Sacco, E. (2015). Mechanics of masonry structures strengthened with composite materials. Proceedings of the 4th International Conference on Mechanics of Masonry Structures Strengthened with Composite Materials (MuRiCO 2014), 624, 197–204. https://doi.org/10.4028/www.scientific.net/KEM.624.197
Freddi, F., & Sacco, E. (2015). Debonding Process of Masonry Element Strengthened with FRP. Procedia Engineering (Vol. 109, pp. 27–34). https://doi.org/10.1016/j.proeng.2015.06.206
2014
Freddi, F., & Sacco, E. (2014). An interface damage model accounting for in-plane effects. International Journal of Solids and Structures (Vol. 51, Issues 25–26, pp. 4230–4244). https://doi.org/10.1016/j.ijsolstr.2014.08.010
Carrara, P., & Freddi, F. (2014). Statistical assessment of a design formula for the debonding resistance of FRP reinforcements externally glued on masonry units. Composites Part B: Engineering (Vol. 66, pp. 65–82). https://doi.org/10.1016/j.compositesb.2014.04.032
Carrara, P., & Freddi, F. (2014). Debonding Limit of the Externally Glued FRP Reinforcements Applied on Clay Brick Substrate: Statistical Assessment of a Design Formula. Key Engineering Materials (Vol. 624, pp. 486–493). https://doi.org/10.4028/www.scientific.net/kem.624.486
Freddi, F., & Sacco, E. (2014). Mortar Joints Influence in Debonding of Masonry Element Strengthened with FRP. Key Engineering Materials (Vol. 624, pp. 197–204). https://doi.org/10.4028/www.scientific.net/kem.624.197
2013
Freddi, F., & Royer-Carfagni, G. (2013). Plastic Flow as an Energy Minimization Problem. Numerical Experiments. Journal of Elasticity (Vol. 116, Issue 1, pp. 53–74). https://doi.org/10.1007/s10659-013-9457-y
Romeo, E., Freddi, F., & Montepara, A. (2013). Mechanical behaviour of surface layer fibreglass-reinforced flexible pavements. International Journal of Pavement Engineering (Vol. 15, Issue 2, pp. 95–109). https://doi.org/10.1080/10298436.2013.828838
Ruocci, G., Argoul, P., Benzarti, K., & Freddi, F. (2013). An improved damage modelling to deal with the variability of fracture mechanisms in FRP reinforced concrete structures. International Journal of Adhesion and Adhesives (Vol. 45, pp. 7–20). https://doi.org/10.1016/j.ijadhadh.2013.03.009
Valentino, R., Coisson, E., Freddi, F., & Ottoni, F. (2013). Localized settlements of an ancient hospital foundation. Geotechnical Engineering for the Preservation of Monuments and Historic Sites (pp. 743–750). https://doi.org/10.1201/b14895-86
Freddi, F., & Royer Carfagni, G. (2013). A variational approach to plasticity. Proceedings of the XXI Congresso Nazionale AIMETA (Torino, 17–20 September 2013).
Carrara, P., Ferretti, D., & Freddi, F. (2013). Debonding behavior of ancient masonry elements strengthened with CFRP sheets. Composites Part B: Engineering (Vol. 45, Issue 1, pp. 800–810). https://doi.org/10.1016/j.compositesb.2012.04.029
2012
Benzarti, K., Ruocci, G., Argoul, P., & Freddi, F. (2012). An improved damage model to predict the failure process in FRP/concrete assemblies. Concrete Repair, Rehabilitation and Retrofitting III (1st ed., pp. 3). https://doi.org/10.1201/b12720-3
Freddi, F., & Royer Carfagni, G. (2012). Fracture, plastic slip and damage: A common variational approach. Proceedings of the IUTAM Symposium 2012, Fracture Phenomena in Nature and Technology (Brescia, Italy, 1–5 July 2012), pp. 1–2.
2011
Freddi, F., & Royer-Carfagni, G. (2011). Variational fracture mechanics to model compressive splitting of masonry-like materials. Annals of Solid and Structural Mechanics (Vol. 2, Issues 2–4, pp. 57–67). https://doi.org/10.1007/s12356-011-0018-4
Carrara, P., Ferretti, D., Freddi, F., & Rosati, G. (2011). Shear tests of carbon fiber plates bonded to concrete with control of snap-back. Engineering Fracture Mechanics (Vol. 78, Issue 15, pp. 2663–2678). https://doi.org/10.1016/j.engfracmech.2011.07.003
Argoul, P., Benzarti, K., Freddi, F., Frémond, M., & Nguyen, T.-H. T. (2011). A damage model to predict the durability of bonded assemblies – Part II: Parameter identification and preliminary results for accelerated ageing tests. Construction and Building Materials (Vol. 25, Issue 2, pp. 556–567). https://doi.org/10.1016/j.conbuildmat.2009.12.014
Benzarti, K., Freddi, F., & Frémond, M. (2011). A damage model to predict the durability of bonded assemblies. Part I: Debonding behavior of FRP strengthened concrete structures. Construction and Building Materials (Vol. 25, Issue 2, pp. 547–555). https://doi.org/10.1016/j.conbuildmat.2009.10.018
Benzarti, K., Freddi, F., Ruocci, G., Quiertant, M., & Chataigner, S. (2011). Ageing effects on the debonding behaviour of FRP reinforcements: Experiments and damage modeling. Proceedings of The Fourth International Conference on Durability & Sustainability of Fiber Reinforced Polymer (FRP) Composites for Construction and Rehabilitation (Quebec City, Quebec, Canada, 20–22 July 2011), pp. 443–452.
2010
Freddi, F., & Frémond, M. (2010). Collisions and fractures: A predictive theory. European Journal of Mechanics - A/Solids (Vol. 29, Issue 6, pp. 998–1007). https://doi.org/10.1016/j.euromechsol.2010.07.006
Freddi, F., Royer‐Carfagni, G., & Silvestri, M. (2010). Full‐Scale Experiments for Point‐Fixing Frameless Laminated Glass. International Journal of Applied Glass Science (Vol. 1, Issue 3, pp. 257–272). https://doi.org/10.1111/j.2041-1294.2010.00028.x
Freddi, F., & Royer-Carfagni, G. (2010). Regularized variational theories of fracture: A unified approach. Journal of the Mechanics and Physics of Solids (Vol. 58, Issue 8, pp. 1154–1174). https://doi.org/10.1016/j.jmps.2010.02.010
Freddi, F., & Royer Carfagni, G. (2010). Decomposed-strain smeared fixed-crack models: A variational approach. Proceedings of the Euro Mediterranean Symposium on Advances in Geomaterials and Structures (Djerba, Tunisia, 10–12 May 2010).
Freddi, F., & Royer Carfagni, G. (2010). Numerical experiments of compressive fracture in masonry-like solids: An energy-based variational approach. Proceedings of the ECCM10 (Paris, France, 12–15 May 2010).
Carrara, P., Ferretti, D., Freddi, F., & Rosati, G. (2010). Indagine sperimentale sul legame di aderenza locale tra calcestruzzo e CFRP. Proceedings of the XVIII Congresso C.T.E. (Brescia, Italy, 13 November 2010), 1, 163–172.
2009
Benzarti, K., Argoul, P., Freddi, F., Frémond, M., & Nguyen, T. H. T. (2009). Durability of bonded assemblies. European Journal of Environmental and Civil Engineering (Vol. 13, Issue 9, pp. 1141–1151). https://doi.org/10.1080/19648189.2009.9693179
Freddi, F., & Royer-Carfagni, G. (2009). From Non-Linear Elasticity to Linearized Theory: Examples Defying Intuition. Journal of Elasticity (Vol. 96, Issue 1, pp. 1–26). https://doi.org/10.1007/s10659-009-9191-7
Freddi, F., Royer Carfagni, G., & Silvestri, M. (2009). Fail-safe design of façades with a new point fixing device: Experimental and numerical analysis of the post-glass-breakage performance. Proceedings of the Glass Performance Days (Tampere, Finland, 12–15 June 2009).
2008
Freddi, F., & Savoia, M. (2008). Analysis of FRP–concrete debonding via boundary integral equations. Engineering Fracture Mechanics (Vol. 75, Issue 6, pp. 1666–1683). https://doi.org/10.1016/j.engfracmech.2007.05.016
Freddi, F., & Natalini, R. (2008). Salviamo i monumenti... con le simulazioni numeriche. Presenza Tecnica in Edilizia, 239, 59–62.
Giavarini, C., Santarelli, M. L., Natalini, R., & Freddi, F. (2008). A non-linear model of sulphation of porous stones: Numerical simulations and preliminary laboratory assessments. Journal of Cultural Heritage (Vol. 9, Issue 1, pp. 14–22). https://doi.org/10.1016/j.culher.2007.12.001
2007
Fosdick, R., Freddi, F., & Royer-Carfagni, G. (2007). Bifurcation Instability in Linear Elasticity with the Constraint of Local Injectivity. Journal of Elasticity (Vol. 90, Issue 1, pp. 99–126). https://doi.org/10.1007/s10659-007-9134-0
Aimi, A., Diligenti, M., & Freddi, F. (2007). Numerical aspects in the SGBEM solution of softening cohesive interface problems. Journal of Computational and Applied Mathematics (Vol. 210, Issues 1–2, pp. 22–33). https://doi.org/10.1016/j.cam.2006.10.053
Freddi, F., & Royer Carfagni, G. (2007). The remarkable response of inhomogeneous linear elastic bodies under affine boundary conditions. Atti su CD del Convegno AIMETA 2007 (Brescia, Italy, 11–14 September 2007), 1–12.
2006
Freddi, F., & Frémond, M. (2006). Damage in domains and interfaces: a coupled predictive theory. Journal of Mechanics of Materials and Structures (Vol. 1, Issue 7, pp. 1205–1233). https://doi.org/10.2140/jomms.2006.1.1205
Freddi, F., & Royer-Carfagni, G. (2006). Symmetric Galerkin BEM for bodies with unconstrained contours. Computer Methods in Applied Mechanics and Engineering (Vol. 195, Issues 9–12, pp. 961–981). https://doi.org/10.1016/j.cma.2005.02.014
2005
Aimi, A., Diligenti, M., & Freddi, F. (2005). Softening cohesive interface problems: Solution via Boundary Element Method. Proceedings of the International Numerical Analysis Conference (Arcavacata di Rende, Italy, 19–21 May 2005), 1–1.
2004
Freddi, F., Salvadori, A., & Savoia, M. (2004). The FRP-concrete delamination: Boundary element analysis. Proceedings of the BEM 26 (pp. 335–345).
Freddi, F., & Royer Carfagni, G. (2004). Regularization of the boundary integral formulation with unconstrained contours. Proceedings of the International Association for Boundary Elements Methods (IABEM) 2004 Conference.