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The modelling of heterogeneous and architected materials poses a significant challenge, demanding advanced homogenisation techniques. However, the complexity of this task can be considerably simplified through the application of micropolar…

Soft Condensed Matter · Physics 2024-02-27 Adrianos E. F. Athanasiadis , Michal K. Budzik , Dilum Fernando , Marcelo A. Dias

We propose a framework to model elastic properties of polycrystals by coupling crystal orientational degrees of freedom with elastic strains. Our model encodes crystal symmetries and takes into account explicitly the strain compatibility…

Materials Science · Physics 2009-11-07 Rajeev Ahluwalia , Turab Lookman , Avadh Saxena

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

We use a continuous mesoscopic model to address the yielding properties of plastic composites, formed by a host material and inclusions with different elastic and/or plastic properties. We investigate the flow properties of the composed…

Statistical Mechanics · Physics 2020-05-06 E. A. Jagla

In complex crystals close to melting or at finite temperatures, different types of defects are ubiquitous and their role becomes relevant in the mechanical response of these solids. Conventional elasticity theory fails to provide a…

Stressed dislocation pattern formation in crystal plasticity at finite deformation is demonstrated for the first time. Size effects are also demonstrated within the same mathematical model. The model involves two extra material parameters…

Materials Science · Physics 2018-12-04 Rajat Arora , Amit Acharya

Materials are often heterogeneous at various length scales, with variations in grain structure, defects, and composition which has a strong influence on the emergent macroscopic plastic behavior. In particular, heterogeneities lead to…

Materials Science · Physics 2024-06-17 Dénes Berta , David Kurunczi-Papp , Lasse Laurson , Péter Dusán Ispánovity

This paper proposes that elastic potentials, which may be rigorously formulated using the negative Gibbs free energy or the complementary strain energy density, should be used as the basis for the plastic part of elasto-plastic constitutive…

Soft Condensed Matter · Physics 2018-06-01 Jorge Castro

We propose a precise and efficient physics-augmented neural network (PANN) to model strain-induced crystallization in rubbery polymers. We demonstrate that the model can be flexibly employed for both unfilled and filled natural rubber (NR).…

Materials Science · Physics 2026-03-16 Konrad Friedrichs , Franz Dammaß , Karl A. Kalina , Markus Kästner

Built on the tenets of rational thermodynamics, this article proposes a theory of strain gradient thermo-visco-plasticity for isotropic polycrystalline materials under high strain rates. The effect of micro-inertia, which arises due to…

Materials Science · Physics 2016-01-28 Md M Rahaman , A Pathak , D Roy , J N Reddy

We focus on the crystal lattice ideal orientations, also referred to as preferred or attractor orientations, in crystalline materials, and how they can be used to predict the final texture of polycrystals after manufacturing processes. The…

Materials Science · Physics 2026-02-18 Jalal Smiri , Oguz Umut Salman , Ioan R. Ionescu

Crystal structures are indispensable across various domains, from batteries to solar cells, and extensive research has been dedicated to predicting their properties based on their atomic configurations. However, prevailing Crystal Structure…

Neural and Evolutionary Computing · Computer Science 2024-06-24 Hannah Janmohamed , Marta Wolinska , Shikha Surana , Thomas Pierrot , Aron Walsh , Antoine Cully

Tensor analysis provides a frame-invariant foundation for continuum mechanics, yet numerical implementations rely on matrix representations expressed in user-selected bases. When these bases are non-Cartesian and non-orthonormal, additional…

Numerical Analysis · Mathematics 2026-03-10 Giuliano Pretti , Robert E. Bird , William M. Coombs , Charles E. Augarde

The increasing number of protein-based metamaterials demands reliable and efficient theoretical and computational methods to study the physicochemical properties they may display. In this regard, we develop a simulation strategy based on…

Soft Condensed Matter · Physics 2020-06-23 J. A. Campos Gonzalez Angulo , G. Wiesehan , R. F. Ribeiro , J. Yuen-Zhou

The influence of the microstructure of a polycrystalline material on its macroscopic deformation response is still one of the major problems in materials engineering. For materials characterized by elastic-plastic deformation responses,…

Materials Science · Physics 2022-02-07 Jan N. Fuhg , Lloyd van Wees , Mark Obstalecki , Paul Shade , Nikolaos Bouklas , Matthew Kasemer

Plastic deformation of micron-scale crystalline solids exhibits stress-strain curves with significant sample-to-sample variations. It is a pertinent question if this variability is purely random or to some extent predictable. Here we show,…

Disordered Systems and Neural Networks · Physics 2020-01-31 Henri Salmenjoki , Mikko J. Alava , Lasse Laurson

As an extension to strain-gradient models of size-dependent plastic behaviour, this work proposes a model for a stress-gradient theory. The model is distinguished from earlier works on the topic by its being embedded in a thermodynamically…

Materials Science · Physics 2020-12-30 B. D. Reddy , P. Steinmann , A. Kergassner

Continuum models of plasticity fail to capture the richness of microstructural evolution because the continuum is a homogeneous construction. The present study shows that an alternative way is available at the mesoscale in the form of truly…

Materials Science · Physics 2025-10-01 Afonso D. M. Barroso , Elijah Borodin , Andrey P. Jivkov

Purpose: The purpose of this work is to apply a recently proposed constitutive model for mechanically induced martensitic transformations to the prediction of transformation loci. Additionally, this study aims to elucidate if a…

In engineering crystal plasticity inelastic mechanisms correspond to tensorial zero-energy valleys in the space of macroscopic strains. The flat nature of such valleys is in contradiction with the fact that plastic slips, mimicking…

Pattern Formation and Solitons · Physics 2024-06-17 N. Perchikov , L. Truskinovsky