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The simulation of fracture using continuum ductile damage models attains a pathological discretization dependence caused by strain localization, after loss of ellipticity of the problem, in regions whose size is connected to the spatial…

Computational Engineering, Finance, and Science · Computer Science 2021-04-21 M. Magri , S. Lucarini , G. Lemoine , L. Adam , J. Segurado

In Materials Science, material development involves evaluating and optimizing the internal structures of the material, generically referred to as microstructures. Microstructures structure is stochastic, analogously to image textures. A…

Machine Learning · Computer Science 2024-08-06 Sayed Sajad Hashemi , Michael Guerzhoy , Noah H. Paulson

Ductile fracture of metallic materials typically involves the elastoplastic deformation and associated damaging process. The nonlocal lattice particle method (LPM) can be extended to model this complex behavior. Recently, a distortional…

Materials Science · Physics 2021-10-22 Changyu Meng , Yongming Liu

The developed computational approach is capable of initiating and propagating cracks inside materials and along material interfaces of general multi-domain structures under quasi-static conditions. Special attention is paid to particular…

Computational Engineering, Finance, and Science · Computer Science 2023-08-23 Roman Vodička

The problem of generating microstructures of complex materials in silico has been approached from various directions including simulation, Markov, deep learning and descriptor-based approaches. This work presents a hybrid method that is…

In this manuscript, we extend the variational multiscale enrichment (VME) method to model the dynamic response of hyperelastic materials undergoing large deformations. This approach enables the simulation of wave propagation under…

Computational Engineering, Finance, and Science · Computer Science 2025-11-19 Abhishek Arora , Caglar Oskay

In this paper, we analyze a PDE system arising in the modeling of phase transition and damage phenomena in thermoviscoelastic materials. The resulting evolution equations in the unknowns \theta (absolute temperature), u (displacement), and…

Analysis of PDEs · Mathematics 2013-04-16 Elisabetta Rocca , Riccarda Rossi

Mineral precipitation and dissolution processes in a porous medium can alter the structure of the medium at the scale of pores. Such changes make numerical simulations a challenging task as the geometry of the pores changes in time in an…

Numerical Analysis · Mathematics 2020-07-13 Manuela Bastidas , Carina Bringedal , Iuliu Sorin Pop

This work outlines a diffuse interface method for the study of fracture and fragmentation in ductile metals at high strain-rates in Eulerian finite volume simulations. The work is based on an existing diffuse interface method capable of…

Computational Physics · Physics 2022-10-11 Tim Wallis , Philip T. Barton , Nikolaos Nikiforakis

The precise mechanisms underlying the failure of multi-phase materials may be strongly dependent on the material's microstructural morphology. Micromechanical modeling has provided much insight into this dependence, but uncertainties remain…

Materials Science · Physics 2016-04-14 T. W. J. de Geus , R. H. J. Peerlings , M. G. D. Geers

The permeability of complex porous materials can be obtained via direct flow simulation, which provides the most accurate results, but is very computationally expensive. In particular, the simulation convergence time scales poorly as…

Microstructure reconstruction serves as a crucial foundation for establishing Process-Structure-Property (PSP) relationship in material design. Confronting the limitations of variational autoencoder and generative adversarial network within…

Computational Engineering, Finance, and Science · Computer Science 2023-11-30 Xianrui Lyu , Xiaodan Ren

In this work, we consider wave propagation in materials characterized by nonlinear properties or damage. To accelerate the simulations of the resulting high-dimensional problems, we apply model order reduction methods. Depending on the…

Numerical Analysis · Mathematics 2026-03-24 Saddam Hijazi , Nikiema Fulgence , Hannah Burmester , Natalie Rauter , Carmen Gräßle

Bone is a living material. It adapts, in an optimal sense, to loading by changing its density and trabeculae architecture - a process termed remodelling. Implanted orthopaedic devices can significantly alter the loading on the surrounding…

Tissues and Organs · Quantitative Biology 2017-05-24 H. Liedtke , A. T. McBride , S. Sivarasu , S. Roche

Machine learning offers attractive solutions to challenging image processing tasks. Tedious development and parametrization of algorithmic solutions can be replaced by training a convolutional neural network or a random forest with a high…

Computer Vision and Pattern Recognition · Computer Science 2025-01-31 Katja Schladitz , Claudia Redenbach , Tin Barisin , Christian Jung , Natascha Jeziorski , Lovro Bosnar , Juraj Fulir , Petra Gospodnetić

Crack fronts deform due to heterogeneities, and inspecting these deformations can reveal local variations of material properties, and help predict out of plane damage. Current models neglect the influence of a finite dissipation…

Materials Science · Physics 2022-06-10 Thibault Roch , Mathias Lebihain , Jean-François Molinari

The anisotropy of wood within the radial-tangential (RT) growth plane has a major influence on the cracking behavior perpendicular to grain. Within the scope of this work, a two-dimensional discrete element model is developed, consisting of…

Materials Science · Physics 2007-05-23 Falk K. Wittel , Gerhard Dill-Langer , Bernd-H. Kroeplin

Accurate prediction of damage and fracture evolution is critical for the safety design and preventive maintenance of engineering structures, however existing computational methods face significant limitations. On one hand, discrete damage…

Computational Physics · Physics 2025-07-01 Roshan Philip Saji , Panos Pantidis , Mostafa E. Mobasher

Microstructural evolution is a key aspect of understanding and exploiting the structure-property-performance relation of materials. Modeling microstructure evolution usually relies on coarse-grained simulations with evolution principles…

Materials Science · Physics 2020-09-01 Kaiqi Yang , Yifan Cao , Youtian Zhang , Ming Tang , Daniel Aberg , Babak Sadigh , Fei Zhou

Dynamic recrystallization is one of the main phenomena responsible for microstructure evolutions during hot forming. Consequently, getting a better understanding of DRX mechanisms and being able to predict them is crucial. This paper…

Computational Engineering, Finance, and Science · Computer Science 2022-12-14 Victor Grand , Baptiste Flipon , Alexis Gaillac , Marc Bernacki