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The influence on macroscopic work hardening of small, spherical, elastic particles dispersed within a matrix is studied using an isotropic strain gradient plasticity framework. An analytical solution, based on a recently developed yield…

Materials Science · Physics 2021-10-25 Philip Croné , Peter Gudmundson , Jonas Faleskog

We develop an energy-landscape based elasto-plastic model to understand the behaviour of amorphous solids under uniform and cyclic shear. Amorphous solids are modeled as being composed of mesoscopic sub-volumes, each of which may occupy…

Soft Condensed Matter · Physics 2026-02-10 Pushkar Khandare , Srikanth Sastry

A new model of metal viscoplasticity, which takes combined isotropic, kinematic, and distortional hardening into account, is presented. The basic modeling assumptions are illustrated using a new two-dimensional rheological analogy. This…

Numerical Analysis · Mathematics 2013-02-22 A. V. Shutov , J. Ihlemann

A finite-strain formulation is developed, implemented and tested for a constitutive model capable of describing the transition from granular to fully dense state during cold forming of ceramic powder. This constitutive model (as well as…

Materials Science · Physics 2015-06-19 S. Stupkiewicz , A. Piccolroaz , D. Bigoni

A general model is formulated for elasto-plastic materials undergoing linear kinematic hardening to describe microstructure evolution associated with phase transformations. Using infinitesimal strain theory, the model is based on…

Computational Engineering, Finance, and Science · Computer Science 2026-02-20 Sarah Dinkelacker-Steinhoff , Klaus Hackl

A constitutive model based on the combination of damage mechanics and plasticity is developed to analyse the failure of concrete structures. The aim is to obtain a model, which describes the important characteristics of the failure process…

Materials Science · Physics 2013-07-29 Peter Grassl , Dimitrios Xenos , Ulrika Nystrom , Rasmus Rempling , Kent Gylltoft

The Cosserat continuum is used in this paper to regularize the ill-posed governing equations of the Cauchy/Maxwell continuum. Most available constitutive models adopt yield and plastic potential surfaces with a circular deviatoric section.…

Numerical Analysis · Mathematics 2022-02-23 Andrea Panteghini , Rocco Lagioia

Commonly used linear and nonlinear constitutive material models in deformation simulation contain many simplifications and only cover a tiny part of possible material behavior. In this work we propose a framework for learning customized…

Graphics · Computer Science 2020-10-27 Bin Wang , Yuanmin Deng , Paul Kry , Uri Ascher , Hui Huang , Baoquan Chen

Amorphous elastomers exhibit significant rate-stiffening and unique viscous flow characteristics across a wide range of strain rates, often undergoing glass transition above a strain rate threshold. We have developed a…

Soft Condensed Matter · Physics 2026-05-26 Bibekananda Datta , Sushan Nakarmi , Nitin P. Daphalapurkar

The development of accurate constitutive models for materials that undergo path-dependent processes continues to be a complex challenge in computational solid mechanics. Challenges arise both in considering the appropriate model assumptions…

Machine Learning · Computer Science 2023-02-22 Jan N. Fuhg , Craig M. Hamel , Kyle Johnson , Reese Jones , Nikolaos Bouklas

The paper presents a new macroelement model for shallow foundations. The model is defined through a non-linear constitutive law written in terms of some generalized force and displacement parameters. The linear part of this constitutive law…

Classical Physics · Physics 2008-02-05 Charisis Chatzigogos , Alain Pecker , J. Salençon

Compacted unbound granular materials are extensively used as sub-layer in pavement design. Most pavement design guides assume that they are responsible for the degradation and deformation of the roads and railways that they support. Biaxial…

Materials Science · Physics 2016-08-16 R. García-Rojo , H. J. Herrmann

We study the asymptotic behavior of thin heterogeneous elastoplastic plates in the framework of linearized elastoplasticity, focusing on the regime where the plate thickness vanishes much faster than the characteristic scale of the…

Analysis of PDEs · Mathematics 2026-05-14 Marin Bužančić , Igor Velčić , Josip Žubrinić

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…

We investigate the constitutive response of two-dimensional packed samples of polygons using molecular dynamics simulation. The incremental elasto-plastic response is examined in the pre-failure regime. Besides the Young modulus and the…

Condensed Matter · Physics 2007-05-23 F. Alonso-Marroquin , H. J. Herrmann , S. Luding

A new approach for generating stress-constrained topological designs in continua is presented. The main novelty is in the use of elasto-plastic modeling and in optimizing the design such that it will exhibit a linear-elastic response. This…

Computational Engineering, Finance, and Science · Computer Science 2016-08-25 Oded Amir

Different compaction processes of the nanosized granular system, which is a prototype of an alumina nanopowder, are studied by the granular dynamics method. For all processes: compaction curves ''density vs. pressure'' of the powder compact…

Soft Condensed Matter · Physics 2020-04-15 G. Sh. Boltachev , E. A. Chingina , N. B. Volkov , K. E. Lukyashin

We propose a nonlinear elasto-plastic model, for which a specific class of hyperbolic elasticity arises as a straight consequence of the yield criterion invariance on the plasticity level. We superimpose this nonlinear elastic (or…

Applied Physics · Physics 2025-07-22 Ilaria Fontana , Goustan Bacquaert , Daniele A. Di Pietro , Kyrylo Kazymyrenko

We present a variational principle governing the quasistatic evolution of a linearized elastoplastic material. In case of linear hardening, the novel characterization allows to recover and partly extend some known results and proves itself…

Analysis of PDEs · Mathematics 2007-10-15 Ulisse Stefanelli

Machine learning approaches informed by physics have offered new insights into the discovery of constitutive models from data, helping overcome some limitations of traditional constitutive modelling while reducing the cost of otherwise…

Materials Science · Physics 2026-05-19 Filippo Masi