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A mechanical model is introduced for predicting the initiation and evolution of complex fracture patterns without the need for a damage variable or law. The model, a continuum variant of Newton's second law, uses integral rather than…

Analysis of PDEs · Mathematics 2016-02-02 Robert Lipton , Stewart Silling , Richard Lehoucq

A class of peridynamic material models known as constitutive correspondence models provide a bridge between classical continuum mechanics and peridynamics. These models are useful because they allow well-established local constitutive…

Numerical Analysis · Computer Science 2019-08-29 Masoud Behzadinasab , John T. Foster

In the context of the Damage Mechanics Challenge, we adopt a phase-field model of brittle fracture to blindly predict the behavior up to failure of a notched three-point-bending specimen loaded under mixed-mode conditions. The beam is…

Computational Engineering, Finance, and Science · Computer Science 2024-12-17 Jonas Heinzmann , Pietro Carrara , Chenyi Luo , Manav Manav , Akanksha Mishra , Sindhu Nagaraja , Hamza Oudich , Francesco Vicentini , Laura De Lorenzis

In Part I of this paper we have presented a simple model capable of describing the localized failure of a massive structure. In this part, we discuss the identification of the model parameters from two kinds of experiments: a uniaxial…

Neural and Evolutionary Computing · Computer Science 2009-06-08 A. Kucerova , D. Brancherie , A. Ibrahimbegovic , J. Zeman , Z. Bittnar

We propose a simple and efficient scheme based on adaptive finite elements over conforming quadtree meshes for collapse plastic analysis of structures. Our main interest in kinematic limit analysis is concerned with both purely…

Computational Engineering, Finance, and Science · Computer Science 2019-03-11 H Nguyen-Xuan , Hien V Do , Khanh N Chau

We propose a computational framework, Hetero-EUCLID, for segmentation and parameter identification to characterize the full hyperelastic behavior of all constituents of a heterogeneous material. In this work, we leverage the Bayesian-EUCLID…

Computational Engineering, Finance, and Science · Computer Science 2026-01-19 Kanhaiya Lal Chaurasiya , Saurav Dutta , Siddhant Kumar , Akshay Joshi

Chemo-mechanical coupled systems have been a subject of interest for many decades now. Previous attempts to solve such models have mainly focused on elastic materials without taking into account the plastic deformation beyond yield, thus…

Computational Engineering, Finance, and Science · Computer Science 2020-01-15 Rupesh Kumar Mahendran , Hirshikesh , Ratna Kumar Annabattula , Sundararajan Natarajan

Nonlinearities and instabilities in mechanical structures have shown great promise for embedding advanced functionalities. However, simulating structures subject to nonlinearities can be challenging due to the complexity of their behavior,…

Soft Condensed Matter · Physics 2025-10-23 Paul Ducarme , Bart Weber , Martin van Hecke , Johannes T. B. Overvelde

The modeling of high velocity impact into brittle or quasibrittle solids is hampered by the unavailability of a constitutive model capturing the effects of material comminution into very fine particles. The present objective is to develop…

Materials Science · Physics 2013-06-06 Zdenek P. Bazant , Ferhun C. Caner

The complex incremental behavior of granular materials is explored with multi-directional loading probes. An advanced discrete element model (DEM) was used to examine the reversible and irreversible strains for small loading probes, which…

Soft Condensed Matter · Physics 2018-12-20 Matthew R. Kuhn , Ali Daouadji

This paper addresses the question of the interplay between relaxation and irreversibility through quasi-static evolutions in damage mechanics, by inquiring the following question: can the quasi-static evolution of an elastic material…

Analysis of PDEs · Mathematics 2023-06-16 Elise Bonhomme

This paper addresses the well posedness of a dynamical model of perfect plasticity with mixed boundary conditions for general closed and convex elasticity sets. The proof relies on an asymptotic analysis of the solution of a perfect…

Analysis of PDEs · Mathematics 2022-02-16 Jean-François Babadjian , Randy Llerena

In the present work, two machine learning based constitutive models for finite deformations are proposed. Using input convex neural networks, the models are hyperelastic, anisotropic and fulfill the polyconvexity condition, which implies…

Materials Science · Physics 2021-11-29 Dominik K. Klein , Mauricio Fernández , Robert J. Martin , Patrizio Neff , Oliver Weeger

To deal with permanent deformations and residual stresses, we consider a morphoelastic model for the scar formation as the result of wound healing after a skin trauma. Next to the mechanical components such as strain and displacements, the…

Numerical Analysis · Mathematics 2022-03-17 Ginger Egberts , Fred Vermolen , Paul van Zuijlen

Selective laser melting is receiving increasing interest as an additive manufacturing technique. Residual stresses induced by the large temperature gradients and inhomogeneous cooling process can favour the generation of cracks. In this…

Materials Science · Physics 2021-07-20 Nicolò Grilli , Daijun Hu , Dewen Yushu , Fan Chen , Wentao Yan

This work focuses on the numerical modelling of confined concretes when subjected to multiaxial loading accounting for a nonlinear material response. Particularly, an improved return mapping procedure is here presented to cope with the…

Numerical Analysis · Mathematics 2020-03-13 Gianluca Mazzucco , Beatrice Pomaro , Valentina A. Salomoni , Carmelo E. Majorana

In this contribution, the use of discrete simulations to formulate an anisotropic damage model is investigated. It is proposed to use a beam-particle model to perform numerical characterization tests. Indeed, this discrete model explicitly…

Classical Physics · Physics 2021-05-19 C Oliver-Leblond , R Desmorat , Boris Kolev

Inferring the mechanical properties of soft tissues from measured deformations is a fundamental challenge in elastography. A rarely examined assumption underlying existing approaches is that the assumed constitutive law correctly describes…

Machine Learning · Statistics 2026-04-15 Vincent C. Scholz , P. S. Koutsourelakis

We propose a method to accurately and efficiently identify the constitutive behavior of complex materials through full-field observations. We formulate the problem of inferring constitutive relations from experiments as an indirect inverse…

Materials Science · Physics 2024-12-05 Andrew Akerson , Aakila Rajan , Kaushik Bhattacharya

We analyse a numerical scheme for a system arising from a novel description of the standard elastic--perfectly plastic response. The elastic--perfectly plastic response is described via rate-type equations that do not make use of the…

Numerical Analysis · Mathematics 2024-09-10 Pablo Alexei Gazca-Orozco , Vít Průša , Karel Tůma