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Related papers: A simple and robust elastoplastic constitutive mod…

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We propose a new approach for data-driven automated discovery of material laws, which we call EUCLID (Efficient Unsupervised Constitutive Law Identification and Discovery), and we apply it here to the discovery of plasticity models,…

Computational Engineering, Finance, and Science · Computer Science 2022-10-04 Moritz Flaschel , Siddhant Kumar , Laura De Lorenzis

This paper develops a general data-driven approach to stochastic elastoplastic modelling that leverages atomistic simulation data directly rather than by fitting parameters. The approach is developed in the context of metallic glasses,…

Statistical Mechanics · Physics 2024-10-02 Bin Xu , Zhao Wu , Jiayin Lu , Michael D. Shields , Chris H. Rycroft , Franz Bamer , Michael L. Falk

We analyze the behavior of different elastoplastic models approaching the yielding transition. We propose two kind of rules for the local yielding events: yielding occurs above the local threshold either at a constant rate or with a rate…

Disordered Systems and Neural Networks · Physics 2019-12-02 E. E. Ferrero , E. A. Jagla

The fracture toughness for a mode I/II crack propagating in a ductile material has been subject to numerous investigations. However, the influence of the material hardening law has received very limited attention, with isotropic hardening…

Materials Science · Physics 2018-12-18 Kristian J. Juul , Emilio Martínez-Pañeda , Kim L. Nielsen , Christian F. Niordson

A simple and popular constitutive model used to describe the compressional strength of a consolidating strongly cohesive particulate gel is tested further with new experimental data. Strong cohesive particulate gels have variously been…

Soft Condensed Matter · Physics 2015-06-09 A. A. Aziz , R. Buscall , R. de Kretzer , M. Kristjansson , P. J. Scales , A. D. Stickland , H-E Teo , S. P. Usher , K. Keiding

This paper presents an elastic-viscoplastic (EVP) constitutive model in triaxial space and general stress space for isotropic clays. The EVP model is anchored in the bounding surface theory along with the mapping rule and adopts a critical…

Geophysics · Physics 2018-01-08 M. N. Islam , C. T. Gnanendran

The paper is devoted to the numerical solution of elastoplastic constitutive initial value problems. An improved form of the implicit return-mapping scheme for nonsmooth yield surfaces is proposed that systematically builds on a…

Computational Engineering, Finance, and Science · Computer Science 2018-01-08 Stanislav Sysala , Martin Cermak , Tomas Koudelka , Jaroslav Kruis , Jan Zeman , Radim Blaheta

A three-dimensional mesoscopic viscoplasticity model for simulating rate-dependent plasticity and creep in unidirectional thermoplastic composites is presented. The constitutive model is a transversely isotropic extension of an isotropic…

Computational Engineering, Finance, and Science · Computer Science 2025-10-01 P. Hofman , D. Kovačević , F. P. van der Meer , L. J. Sluys

Structural materials are broadly used in applications such as nuclear vessels, high-temperature processes, and civil construction. Usually, during their placing and lifespan, they may present free or chemically bonded liquid phases in their…

Materials Science · Physics 2021-03-29 M. H. Moreira , R. F. Ausas , S. Dal Pont , P. I. Pelissari , A. P. Luz , V. C. Pandolfelli

Yield-stress fluids are ubiquitous and encountered in diverse fields ranging from natural muddy flows to industrial applications such as secondary battery electrode slurries and direct ink writing. Despite the proposal of various…

Fluid Dynamics · Physics 2026-05-20 Jehyeok Choi , Ju Min Kim , Kwang Soo Cho

We study two closely related, nonlinear models of a viscoplastic solid. These models capture essential features of plasticity over a wide range of strain rates and applied stresses. They exhibit inelastic strain relaxation and steady flow…

Materials Science · Physics 2009-10-31 Alexander E. Lobkovsky , J. S. Langer

In this paper we present a thermodynamically consistent material model which is capable of modelling ductile-to brittle failure mode transition in ductile material undergoing deformations at high strain rates, and demonstrate the…

Materials Science · Physics 2017-09-19 Ladislav Écsi , Péter Ván , Tamás Fülöp , Balázs Fekete , Pavel Élesztős , Roland Jančo

We develop a mesoscopic model to study the plastic behavior of an amorphous material under cyclic loading. The model is depinning-like and driven by a disordered thresholds dynamics which are coupled by long-range elastic interactions. We…

Soft Condensed Matter · Physics 2023-08-07 Dheeraj Kumar , Sylvain Patinet , Craig E. Maloney , Ido Regev , Damien Vandembroucq , Muhittin Mungan

Buckling strength estimation of architected materials has mainly been restricted to load cases oriented along symmetry axes. However, realistic load scenarios normally exhibit more general stress distributions. In this paper we propose a…

Applied Physics · Physics 2021-05-14 Morten N. Andersen , Yiqiang Wang , Fengwen Wang , Ole Sigmund

This work presents a general unified theory for coupled nonlinear elastic and inelastic deformations of curved thin shells. The coupling is based on a multiplicative decomposition of the surface deformation gradient. The kinematics of this…

Classical Physics · Physics 2019-09-12 Roger A. Sauer , Reza Ghaffari , Anurag Gupta

The linear (Winkler) foundation is a simple model widely used for decades to account for the surface response of elastic bodies. It models the response as purely local, linear, and perpendicular to the surface. We extend this model to the…

Soft Condensed Matter · Physics 2022-03-01 Chen Bar-Haim , Haim Diamant

Understanding the mechanical response and failure of solids is of obvious importance in their use as structural materials. The nature of plastic deformation leading to yielding of amorphous solids has been vigorously pursued in recent…

Soft Condensed Matter · Physics 2021-06-30 Srikanth Sastry

With the eventual aim of describing flowing elasto-plastic materials, we focus on the elementary brick of such a flow, a plastic event, and compute the long-range perturbation it elastically induces in a medium submitted to a global shear…

Soft Condensed Matter · Physics 2009-11-10 Guillemette Picard , Armand Ajdari , Francois Lequeux , Lyderic Bocquet

The transformation theory of optics and acoustics is developed for the equations of linear anisotropic elasticity. The transformed equations correspond to non-unique material properties that can be varied for a given transformation by…

Materials Science · Physics 2011-06-28 A. N. Norris , A. L. Shuvalov

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