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Deformation band patterning in single crystals is investigated using a finite strain crystal viscoplasticity model based on the evolution of dislocation densities. In the presence of strong latent hardening and weak rate dependence, the…

Materials Science · Physics 2025-07-02 Jean-Michel Scherer

In a recent publication, we derived the mesoscale continuum theory of plasticity for multiple-slip systems of parallel edge dislocations, motivated by the statistical-based nonlocal continuum crystal plasticity theory for single-glide due…

Materials Science · Physics 2009-11-13 Surachate Limkumnerd , Erik Van der Giessen

The Maximum Energy Dissipation Principle (MEDP) for dynamics fracture, far from equilibrium, proposed by Slepyan was modified. This modification includes a decoupling between the injected and dissipated energy by adding of a time delay and…

Materials Science · Physics 2016-03-02 Lucas M. Alves , Rui F. R. M. Lobo

The upscaling of a system of screw dislocations in a material subject to an external strain is studied. The $\Gamma$-limit of a suitable rescaling of the renormalized energy is characterized in the space of probability measures. This…

Analysis of PDEs · Mathematics 2018-08-28 Ilaria Lucardesi , Marco Morandotti , Riccardo Scala , Davide Zucco

In this paper, we present an experimental study on plastic deformation and damage of polycrystalline pure Ti, as well as modeling of the observed behavior. From the mechanical characterization data, it can be concluded that the material…

Materials Science · Physics 2016-02-17 Benoit Revil-Baudard , Oana Cazacu , Philip Flater , Nitin Chandola , J. L. Alves

The presence of interfaces and grain boundaries significantly impacts the mechanical properties of materials, particularly when dealing with micro- or nano-scale samples. Distinct interactions between dislocations and grain boundaries can…

Materials Science · Physics 2025-05-08 Jinxin Yu , Alfonso H. W. Ngan , David J. Srolovitzb , Jian Hana

We have revealed the decisive role of grain-boundary-induced strain fields in electron scattering in polycrystalline graphene. To this end, we have formulated the model based on Boltzmann transport theory which properly takes into account…

Materials Science · Physics 2022-05-24 S. E. Krasavin , V. A. Osipov

We report a method for describing plasticity in a broad class of amorphous materials. The method is based on nonlinear (geometric) deformation theory allowing the separation of the plastic deformation from the general deformation tensor.…

Soft Condensed Matter · Physics 2007-05-23 Sergei F. Lyuksyutov , Ruslan A. Sharipov

A numerical strategy to simulate plastic deformation in Mg alloys including dislocation slip and twin propagation is presented. Dislocation slip is included through a crystal plasticity model which is solved using the finite element method…

Materials Science · Physics 2023-02-28 Meijuan Zhang , Auxin Ma , Javier LLorca

Plastic deformation of micron-scale crystalline materials differ considerably from bulk ones, because it is characterized by random strain bursts. To obtain a detailed picture about this stochastic phenomenon, micron sized pillars have been…

During plastic deformation, metals change shape while continuously becoming stronger. The microscopic origin of these processes lies in the proliferation and movement of line defects, dislocations, and the subsequent self-organisation and…

Ductile damage models and cohesive laws incorporate the material plasticity entailing the growth of irrecoverable deformations even after complete failure. This unrealistic growth remains concealed until the unilateral effects arising from…

Computational Engineering, Finance, and Science · Computer Science 2023-12-04 Alireza Daneshyar , Leon Herrmann , Stefan Kollmannsberger

In this work we analyze the relation between the multiplicative decomposition $\mathbf F=\mathbf F^{e}\mathbf F^{p}$ of the deformation gradient as a product of the elastic and plastic factors and the theory of uniform materials. We prove…

Materials Science · Physics 2015-05-13 V. Ciancio , M. Dolfin , M. Francaviglia , S. Preston

This work presents the Griffith-type phase-field formation at large deformation in the framework of adaptive edge-based smoothed finite element method (ES-FEM) for the first time. Therein the phase-field modeling of fractures has attracted…

Numerical Analysis · Mathematics 2021-11-09 Fucheng Tian , Xiaoliang Tang , Tingyu Xu , Liangbin Li

The shear-transformation-zone (STZ) theory of plastic deformation in glass-forming materials is reformulated in light of recent progress in understanding the roles played the effective disorder temperature and entropy flow in nonequilibrium…

Materials Science · Physics 2009-11-13 J. S. Langer

Slender beams are often employed as constituents in engineering materials and structures. Prior experiments on lattices of slender beams have highlighted their complex failure response, where the interplay between buckling and fracture…

Computational Engineering, Finance, and Science · Computer Science 2024-08-13 Sai Kubair Kota , Siddhant Kumar , Bianca Giovanardi

Fracture is a fundamental mechanism of materials failure. Propagating cracks can exhibit a rich dynamical behavior controlled by a subtle interplay between microscopic failure processes in the crack tip region and macroscopic elasticity. We…

Materials Science · Physics 2015-05-18 R. Spatschek , E. Brener , A. Karma

We experimentally study the heterogeneity of strain in a granular medium subjected to oscillatory shear in a rotating drum. Two complementary methods are used. The first method relies on optical imaging and grain tracking, allowing us to…

Soft Condensed Matter · Physics 2025-09-30 I. Awada , M. Bornert , V. Langlois , J. Léopoldès

Voids are one of the many material defects present at the microscopic length scale. They are primarily responsible for the formation of cracks and hence contribute to ductile fracture. Circular voids tend to deform into elliptical voids…

Applied Physics · Physics 2025-12-12 Muhammad Usman , Sana Waheed , Aamir Mubashar

The influence of the material texture (substructure) on the force driving the crack tip in complex materials admitting Ginzburg-Landau-like energies is analyzed in a three-dimensional continuum setting. The theory proposed accounts for…

Mathematical Physics · Physics 2007-05-23 Paolo Maria Mariano