MARS Publications

The MARS solver has been used in many basic research and engineering development efforts. 
Provided is a sample list of published journal articles and conference papers which used the MARS solver.

Mishra, Santosh, Roman Wan-Wendner, Clementina Del Prete, Claudio Mazzotti, and Nicola Buratti.

“Numerical study on the behavior of polypropylene fiber reinforced concrete subjected to moderate temperature variations using LDPM theory.”

Construction and Building Materials 417 (2024) 135424

Cibelli, Antonio, Liberato Ferrara, and Giovanni Di Luzio.

“Multiscale and Multiphysics discrete model of self-healing of matrix and interfacial cracks in fibre reinforced cementitious composites: Formulation, implementation and preliminary results.”

Cement and Concrete Composites 148 (2024): 105465

Jia, Dongge, John C Brigham, and Alessandro Fascetti.

“An efficient static solver for the lattice discrete particle model.”

Computer-Aided Civil and Infrastructure Engineering, 2024

Wang, Jiajia, Jan Vorel, Wouter Botte, Daniele Pelessone, and Roman Wan-Wendner.

“Efficient approaches for modeling and simulating the mechanical behavior of concrete using lattice discrete particle models.”

Computers & Structures 305 (2024): 107557. issn: 0045-7949. https ://doi . org /https //doi.org/10.1016/j.compstruc.2024.107557. https://www.sciencedirect.com/science/article/pii/S0045794924002864.

Cibelli, Antonio, Giovanni Di Luzio, and Liberato Ferrara.

“Numerical Simulation of the Chloride Penetration in Cracked and Healed UHPC via a Discrete Multiphysics Model.”

Journal of Engineering Mechanics 149, no.12 (2023): 05023001

Wang, Yilin, Roman Wan-Wendner, Giovanni Di Luzio, Jan Vorel, and Jan Belis.

“Multi-physics Modelling of Concrete Shrinkage with the Lattice Discrete Particle Model Considering the Volume of Aggregates.”

International RILEM Conference on Synergising expertise towards sustainability and robustness of CBMs and concrete structures, 203–213. Springer, 2023.

Kunz, Philipp, Antonio Cibelli, Giovanni Di Luzio, Liberato Ferrara, and Viktor Mechtcherine.

“Fuzzy Logic-Based Approach for the Uncertainty Modelling in Cementitious Materials.”

RILEM International Conference on Numerical Modeling Strategies for Sustainable Concrete Structures, 197–206. Springer, 2022.

Di Luzio, G, A Cibelli, SMJ Al-Obaidi, SMI Radwan, M Davolio, L Ferrara, Roman Wan-Wendner, and Yilin Wang.

“Crack healing under sustained load in concrete: An experimental/numerical study.”

Life-Cycle of Structures and Infrastructure Systems, 1217–1224. CRC Press, 2023.

Cibelli, Antonio, Madura Pathirage, Gianluca Cusatis, Liberato Ferrara, and Giovanni Di Luzio.

“A discrete numerical model for the effects of crack healing on the behaviour of ordinary plain concrete: Implementation, calibration, and validation.”

Engineering Fracture Mechanics 263 (2022): 108266.

Sherzer, Gili Lifshitz, Younes Fadakar Alghalandis, and Karl Peterson.

“Introducing fracturing through aggregates in LDPM.”

Engineering Fracture Mechanics 261 (2022): 108228.

Sinn, Lisa-Marie, Ioannis Boumakis, Krešimir Ninčević, Jan Vorel, and Roman Wan-Wendner.

“Relationship of LDPM meso-scale parameters and aging for normal and high strength concretes.”

Materials and Structures 55, no. 8 (2022): 219.

Wan-Wendner, Lin, and Giovanni Di Luzio.

“Discrete modeling of deterministic size effect of normal-strength and ultra-high performance concrete under compression.”

Construction and Building Materials 342 (2022): 127791.

Cibelli, A, G Di Luzio, L Ferrara, et al.

“Numerical modelling via a coupled discrete approach of the autogenous healing for Fibre-Reinforced Cementitious Composites (FRCCs).”

Computational Modelling of Concrete and Concrete Structures, 1:86–95. CRC Press, 2022.

Li, Chenyang, Xinwei Zhou, and Gianluca Cusatis.

“Micromechanics of Fiber–Concrete Interaction: Numerical Modeling and Experimental Validation.”

Journal of Engineering Mechanics 148, no. 5 (2022): 04022020.

Han, Lin, Madura Pathirage, Ange-Therese Akono, and Gianluca Cusatis.

“Lattice discrete particle modeling of size effect in slab scratch tests.”

Journal of Applied Mechanics 88, no. 2 (2021): 021009.

Angiolilli, Michele, Madura Pathirage, Amedeo Gregori, and Gianluca Cusatis.

“Lattice discrete particle model for the simulation of irregular stone masonry.”

Journal of Structural Engineering 147, no. 9 (2021): 04021123.

Del Prete, C, I Boumakis, Roman Wan-Wendner, J Vorel, N Buratti, and C Mazzotti.

“A lattice discrete particle model to simulate the viscoelastic behaviour of macro–synthetic fibre reinforced concrete.”

Construction and Building Materials 295 (2021): 123630.

Zhang, Ying, Giovanni Di Luzio, and Mohammed Alnaggar.

“Coupled Multiphysics simulation of chloride diffusion in saturated and unsaturated concrete.”

Construction and Building Materials 292 (2021): 123394.

Shen, Lei, Francesco Lo Monte, Giovanni Di Luzio, Gianluca Cusatis, Weixin Li, Roberto Felicetti, Federico Lombardi, Maurizio Lualdi, Maosen Cao, and Qingwen Ren.

“On the moisture migration of concrete subject to high temperature with different heating rates.”

Cement and Concrete Research 146 (2021): 106492.

Janouchova, Eliska, Anna Kucerova, Jan Sykora, Jan Vorel, and Roman Wan-Wendner.

“Robust probabilistic calibration of a stochastic lattice discrete particle model for concrete.”

Engineering Structures 236 (2021): 112000.

Vorel, Jan, Marco Marcon, Gianluca Cusatis, Ferhun Caner, Giovanni Di Luzio, and Roman Wan-Wendner.

“A comparison of the state of the art models for constitutive modelling of concrete.”

Computers & Structures 244 (2021): 106426.

Chen, Le, Weiwei Sun, Bingcheng Chen, Ze Shi, Jianzhong Lai, and Jun Feng.

“Multiscale study of fibre orientation effect on pullout and tensile behavior of steel fibre reinforced concrete.”

Construction and Building Materials 283 (2021): 122506.

Sherzer, G Lifshitz, Erik Schlangen, Guang Ye, and AE Gal.

“Evaluating compressive mechanical LDPM parameters based on an upscaled multiscale approach.”

Construction and Building Materials 251 (2020): 118912.

Bhaduri, Tathagata, Shady Gomaa, and Mohammed Alnaggar.

“Coupled Experimental and Computational Investigation of the Interplay between Discrete and Continuous Reinforcement in Ultrahigh Performance Concrete Beams. II: Mesoscale Modeling.”

Journal of Engineering Mechanics 147, no. 9 (2021): 04021050.

Mercuri, Micaela, Madura Pathirage, Amedeo Gregori, and Gianluca Cusatis.

“Computational modeling of the out-of-plane behavior of unreinforced irregular masonry.”

Engineering Structures 223 (2020): 111181.

Angiolilli, Michele, Amedeo Gregori, Madura Pathirage, and Gianluca Cusatis.

“Fiber Reinforced Cementitious Matrix (FRCM) for strengthening historical stone masonry structures: Experiments and computations.”

Engineering Structures 224 (2020): 111102.

Sherzer, Gili Lifshitz, Younes Fadakar Alghalandis, Pengfei Zhao, Vahid Afroughsabet, Karl Peterson, Giovanni Grasselli, Nolan Coutinho, and Sanjay Shah.

“Comparison and linking between LDPM and FDEM modeling for fracturing in concrete.”

Pipeline Technol Conf. 2020.

Shen, Lei, Weixin Li, Xinwei Zhou, Jun Feng, Giovanni Di Luzio, Qingwen Ren, and Gianluca Cusatis.

“Multiphysics lattice discrete particle model for the simulation of concrete thermal spalling.”

Cement and Concrete Composites 106 (2020): 103457.

Ceccato, Chiara, JG Teng, and Gianluca Cusatis.

“Numerical prediction of the ultimate condition of circular concrete columns confined with a fiber reinforced polymer jacket.”

Composite Structures 241 (2020): 112103.

Feng, Jun, Weiwei Sun, Lei Wang, Le Chen, Sainan Xue, and Weixin Li.

“Terminal ballistic and static impactive loading on thick concrete target.”

Construction and Building Materials 251 (2020): 118899.

Abdellatef, Mohammed, and Mohammed Alnaggar.

“Energy-based coarse graining of the lattice-discrete particle model.”

Journal of Engineering Mechanics 146, no. 5 (2020): 04020026.

Rezakhani, Roozbeh, Mohammed Alnaggar, and Gianluca Cusatis.

“Multiscale homogenization analysis of alkali–silica reaction (ASR) effect in concrete.”

Engineering 5, no. 6 (2019): 1139–1154.

Abdellatef, Mohammed, Ioannis Boumakis, Roman Wan-Wendner, and Mohammed Alnaggar.

“Lattice Discrete Particle Modeling of concrete coupled creep and shrinkage behavior: A comprehensive calibration and validation study.”

Construction and Building Materials 211 (2019): 629–645.

Pathirage, M, F Bousikhane, M D’ambrosia, M Alnaggar, and Gianluca Cusatis.

“Effect of alkali silica reaction on the mechanical properties of aging mortar bars: Experiments and numerical modeling.”

International Journal of Damage Mechanics 28, no. 2 (2019): 291–322.

Cibelli, Antonio, G Di Luzio, L Ferrara, G Cusatis, M Pathirage, et al.

“Modelling of autogenous healing for regular concrete via a discrete model.”

Proceedings of the 10th International Conference on Fracture Mechanics of Concrete and Concrete Structures, FraMCoS-X, 1–12. IA-FraMCoS, 2019.

Abdellatef, Mohammed, Jan Vorel, Roman Wan-Wendner, and Mohammed Alnaggar.

“Predicting time-dependent behavior of post-tensioned concrete beams: discrete multiscale multiphysics formulation.”

Journal of Structural Engineering 145, no. 7 (2019): 04019060.

Khodaie, Sina, Fabio Matta, and Mohammed Alnaggar.

“Discrete meso-scale modeling and simulation of shear response of scaled glass FRP reinforced concrete beams without stirrups.”

Engineering Fracture Mechanics 216 (2019): 106486.

Cibelli, A, G Di Luzio, and L Ferrara.

“Towards the numerical modelling of autogenous healing for ultra high-performance fibre-reinforced cementitious composites.”

Proceedings of the 1st fib Italy YMG Symposium on Concrete and Concrete Structures, FIBPRO, 1–8. 2019.

Alnaggar, Mohammed, Daniele Pelessone, and Gianluca Cusatis.

“Lattice discrete particle modeling of reinforced concrete flexural behavior.”

Journal of Structural Engineering 145, no. 1 (2019): 04018231.

Feng, Jun, Wei-wei Sun, and Bao-ming Li.

“Numerical study of size effect in concrete penetration with LDPM.”

Defence Technology 14, no. 5 (2018): 560–569.

Ceccato, Chiara, Xinwei Zhou, Daniele Pelessone, and Gianluca Cusatis.

“Proper orthogonal decomposition framework for the explicit solution of discrete systems with softening response.”

Journal of Applied Mechanics 85, no. 5 (2018): 051004.

Lale, Erol, Roozbeh Rezakhani, Mohammed Alnaggar, and Gianluca Cusatis.

“Homogenization coarse graining (HCG) of the lattice discrete particle model (LDPM) for the analysis of reinforced concrete structures.”

Engineering Fracture Mechanics 197 (2018): 259–277.

Boumakis, Ioannis, Giovanni Di Luzio, Marco Marcon, Jan Vorel, and Roman Wan-Wendner.

“Discrete element framework for modeling tertiary creep of concrete in tension and compression.”

Engineering Fracture Mechanics 200 (2018): 263–282.

Li, Weixin, Xinwei Zhou, J William Carey, Luke P Frash, and Gianluca Cusatis.

“Multiphysics lattice discrete particle modeling (M-LDPM) for the simulation of shale fracture permeability.”

Rock Mechanics and Rock Engineering 51 (2018): 3963–3981.

Wan-Wendner, Lin, Roman Wan-Wendner, and Gianluca Cusatis.

“Age-dependent size effect and fracture characteristics of ultra-high performance concrete.”

Cement and Concrete Composites 85 (2018): 67–82.

Boumakis, Ioannis, Marco Marcon, Krešimir Ninčević, Lisa-Marie Czernuschka, and Roman Wan-Wendner.

 “Concrete creep and shrinkage effect in adhesive anchors subjected to sustained loads.”

Engineering Structures 175 (2018): 790–805.

Alnaggar, Mohammed, and Naina Bhanot.

 “A machine learning approach for the identification of the Lattice Discrete Particle Model parameters.”

Engineering Fracture Mechanics 197 (2018): 160–175. 

Podroužek, J, M Marcon, J Vorel, and Roman Wan-Wendner.

“Response scatter control for discrete element models.”

Conference on Computational Modelling of Concrete and Concrete Structures (EURO-C), 517–524. CRC, 2018.

Abdellatef, Mohammed, Jan Vorel, Roman Wendner, and Mohammed Alnaggar.

“Lattice discrete particle modeling of time dependent behavior of prestressed concrete beams.”

Proc., 2017 PCI Convention & National Bridge Conf. 2017.

Bousikhane, F, W Li, G Di Luzio, and G Cusatis.

“Full coupling between diffusion and mechanical analysis in a discrete computational framework.”

Computational Modelling of Concrete Structures, 305–310. CRC Press, 2018.

Alnaggar, Mohammed, Giovanni Di Luzio, and Gianluca Cusatis.

“Modeling time-dependent behavior of concrete affected by alkali silica reaction in variable environmental conditions.”

Materials 10, no. 5 (2017): 471.

Rezakhani, Roozbeh, Xinwei Zhou, and Gianluca Cusatis.

“Adaptive multiscale homogenization of the lattice discrete particle model for the analysis of damage and fracture in concrete.”

International Journal of Solids and Structures 125 (2017): 50–67.

Ashari, S Esna, Giuseppe Buscarnera, and Gianluca Cusatis.

“A lattice discrete particle model for pressure-dependent inelasticity in granular rocks.”

International Journal of Rock Mechanics and Mining Sciences 91 (2017): 49–58.

Feng, Jun, Wenjin Yao, Weixin Li, and Wenbin Li.

“Lattice discrete particle modeling of plain concrete perforation responses.”

International Journal of Impact Engineering 109 (2017): 39–51.

Smith, Jovanca, and Gianluca Cusatis.

“Numerical analysis of projectile penetration and perforation of plain and fiber reinforced concrete slabs.”

International Journal for Numerical and Analytical Methods in Geomechanics 41, no. 3 (2017):

Li,Weixin, Roozbeh Rezakhani, Congrui Jin, Xinwei Zhou, and Gianluca Cusatis.

“A multiscale framework for the simulation of the anisotropic mechanical behavior of shale.”

International Journal for Numerical and Analytical Methods in Geomechanics 41, no. 14 (2017): 1494–1522.

Ceccato, Chiara, Marco Salviato, Carlo Pellegrino, and Gianluca Cusatis.

“Simulation of concrete failure and fiber reinforced polymer fracture in confined columns with different cross sectional shape.”

International Journal of Solids and Structures 108 (2017): 216–229.

Marcon, Marco, Jan Vorel, Krešimir Ninĉević, and Roman Wan-Wendner.

“Modeling adhesive anchors in a discrete element framework.”

Materials 10, no. 8 (2017): 917.

Li, Weixin, Faysal Bousikhane, J William Carey, and Gianluca Cusatis.

“Computational analysis of the fracture-permeability behavior of shale.”

Poromechanics VI, 1200–1207. 2017.

Li, Weixin, F Bousikhane, James William Carey, and Gianluca Cusatis.

“Discrete modeling of the fracture-permeability behavior of shale.”

ARMA US Rock Mechanics/Geomechanics Symposium, ARMA–2017. ARMA, 2017.

Khodaie, Sina, Fabio Matta, and Mohammed Alnaggar.

“Numerical Simulation of Shear Behavior of Scaled GFRP Reinforced Concrete Beams without Stirrups Using Lattice Discrete Particle Model.”

6th Asia-Pacific Conference on FRP in Structures, Singapore. 2017.

Jin, Congrui, Nicola Buratti, Marco Stacchini, Marco Savoia, and Gianluca Cusatis.

“Lattice discrete particle modeling of fiber reinforced concrete: Experiments and simulations.”

European Journal of Mechanics-A/Solids 57 (2016): 85–107.

Wan, Lin, Roman Wendner, and Gianluca Cusatis.

“A novel material for in situ construction on Mars: experiments and numerical simulations.”

Construction and Building Materials 120 (2016): 222–231.

Alnaggar, Mohammed, Minghe Liu, Jianmin Qu, and Gianluca Cusatis.

“Lattice Discrete Particle Modeling of acoustic nonlinearity change in accelerated alkali silica reaction (ASR) tests.”

Materials and Structures 49 (2016): 3523–3545.

Feng, Jun, Weiwei Sun, Zhilin Liu, Chong Cui, and Xiaoming Wang.

“An armour-piercing projectile penetration in a double-layered target of ultrahigh-performance fiber reinforced concrete and armour steel: Experimental and numerical analyses.”

Materials & Design 102 (2016): 131–141.

Wan, Lin, Roman Wendner, Benliang Liang, and Gianluca Cusatis.

“Analysis of the behavior of ultra high performance concrete at early age.”

Cement and Concrete Composites 74 (2016): 120–135.

Rezakhani, Roozbeh, and Gianluca Cusatis.

“Asymptotic expansion homogenization of discrete fine-scale models with rotational degrees of freedom for the simulation of quasi-brittle materials.”

Journal of the Mechanics and Physics of Solids 88 (2016): 320–345.

Abdellatef, M, E Salem, D Lau, L Stenroos, and M Alnaggar.

 “Bond degradation of corroded reinforcement: An experimental and numerical study.”

Proceedings of the 9th International Conference on Fracture Mechanics of Concrete and Concrete Structures, FraMCoS, vol. 9. 2016.

Abdellatef, M, M Alnaggar, G Boumakis, Gianluca Cusatis, Giovanni Di-Luzio, and Roman Wendner.

“Lattice discrete particle modeling for coupled concrete creep and shrinkage using the solidification microprestress theory.”

CONCREEP 10, 184–193. 2015.

Podroužek, Jan, J Vorel, Ioannis Boumakis, Gianluca Cusatis, and ROMAN Wendner.

“Implications of spatial variability characterization in discrete particle models.”

Proceedings of the 9th International Conference on Fracture Mechanics of Concrete and Concrete Structures. 2016.

Smith, Jovanca, Gianluca Cusatis, Daniele Pelessone, Eric Landis, James O’Daniel, and James Baylot.

“Discrete modeling of ultra-high-performance concrete with application to projectile penetration.”

International Journal of Impact Engineering 65 (2014): 13–32.

Alnaggar, Mohammed.

“Multiscale modeling of aging and deterioration of reinforced concrete structures.”

PhD diss., Northwestern University, 2014.

Gianluca Cusatis,  Mohammed Alnaggar, and Roozbeh Rezakhani.

“Multiscale modeling of Alkali Silica reaction degradation of concrete.”

Proc., RILEM Int. Symp. on Concrete Modelling—CONMOD, RILEM International, 431–438. 2014.

Alnaggar, Mohammed, Gianluca Cusatis, and Giovanni Di Luzio.

“Lattice discrete particle modeling (LDPM) of alkali silica reaction (ASR) deterioration of concrete structures.”

Cement and Concrete Composites 41 (2013): 45–59.

Schauffert, Edward A, and Gianluca Cusatis.

“Lattice discrete particle model for fiber-reinforced concrete. I: Theory.”

Journal of Engineering Mechanics 138, no. 7 (2012): 826–833.

Alnaggar, Mohammed, and Gianluca Cusatis.

“Automatic parameter identification of discrete mesoscale models with application to the coarse-grained simulation of reinforced concrete structures.”

20th Analysis and computation specialty conference, 406–417. 2012.

Cusatis, Gianluca, Daniele Pelessone, and Andrea Mencarelli.

“Lattice discrete particle model (LDPM) for failure behavior of concrete. I: Theory.”

Cement and Concrete Composites 33, no. 9 (2011): 881–890.

Cusatis, G, A Mencarelli, D Pelessone, and JT Baylot.

“The Lattice Discrete Particle Model (LDPM) for the Simulation of Uniaxial and Multiaxial Behavior of Concrete: Recent Results.”

Fracture Mechanics of Concrete and Concrete Structures-Recent Advances in Fracture Mechanics of Concrete, 2010, 509–515.

Cusatis, Gianluca, Daniele Pelessone, Andrea Mencarelli, and James T Baylot.

“Simulation of reinforced concrete structures under blast and penetration through lattice discrete particle modeling.”

ASME International Mechanical Engineering Congress and Exposition, 43041:581–584. 2007.

Cusatis, Gianluca, Andrea Mencarelli, Daniele Pelessone, and James T Baylot.

“Lattice discrete particle model (LDPM) for fracture dynamics and rate effect in concrete.”

Structures Congress 2008: 18th Analysis and Computation Specialty Conference, 1–11. 2008.