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A characteristic feature of the Earth is that diffuse thermal convection in the mantle produces localized deformation at the surface: Plate Tectonics. However, modelling this phenomenon remains a challenge, due to inability to simulate…

We study a quasi-static evolution of thermo-visco-elastic model. We act with external forces on non-homogeneous material body, which is a subject of our research. Such action may cause deformation of this body and may change its…

Analysis of PDEs · Mathematics 2015-05-26 Filip Z. Klawe

Localization, in the form of adiabatic shear, is analyzed in viscoplastic solids that may undergo structural transformation driven by pressure, shear stress, temperature, and magnetic field. As pertinent to polycrystalline metals,…

Materials Science · Physics 2024-10-01 John D. Clayton

A two-dimensional version of the shear-transformation-zone (STZ) theory by Falk and Langer is explored numerically. Two different geometries are used to simulate uniaxial tension experiments where materials are subjected to constant strain…

Materials Science · Physics 2007-05-23 L. O. Eastgate

Experimental, theoretical, and numerical studies of adiabatic shear in ductile metals suggest initial defects such as pores or material imperfections increase shear-band susceptibility. Conversely, viscous effects manifesting…

Materials Science · Physics 2025-06-16 John D. Clayton

This paper examines the stability of a previously proposed version of the shear-transformation-zone (STZ) theory of plasticity where the total STZ population is determined by an effective temperature and compares it to experimental results…

Materials Science · Physics 2007-05-23 Anthony Foglia

Shear banding is widely observed in natural fault zones as well as in gouge layers in laboratory experiments. Understanding the dynamics of strain localization under different loading conditions is essential for quantifying strength…

Geophysics · Physics 2017-01-12 Xiao Ma , Ahmed Elbanna

Localization of plastic strain induced by softening can be objectively described by a regularized plasticity model that postulates a dependence of the current yield stress on a nonlocal softening variable defined by a differential…

Materials Science · Physics 2012-02-02 Milan Jirasek , Jan Zeman , Jaroslav Vondrejc

Shear strain localization refers to the phenomenon of accumulation of material deformation in narrow slip zones. Many materials exhibit strain localization under different spatial and temporal scales, particularly rocks, metals, soils, and…

Geophysics · Physics 2023-05-04 Yury Alkhimenkov , Lyudmila Khakimova , Ivan Utkin , Yury Podladchikov

We discuss aging and localization in a simple "Eshelby" mesoscopic model of amorphous plasticity. Plastic deformation is assumed to occur through a series of local reorganizations. Using a discretization of the mechanical fields on a…

Soft Condensed Matter · Physics 2011-12-06 Damien Vandembroucq , Stéphane Roux

We measure the local yield stress, at the scale of small atomic regions, in a deeply quenched two-dimensional glass model undergoing shear banding in response to athermal quasistatic (AQS) deformation. We find that the occurrence of…

Materials Science · Physics 2020-03-17 Armand Barbot , Matthias Lerbinger , Anaël Lemaître , Damien Vandembroucq , Sylvain Patinet

The approach of nonequilibrium evolution thermodynamics earlier offered is developed. It helps to describe the processes of defect formation within the adiabatic approximation. The basic equations system depends on the initial defects…

Materials Science · Physics 2015-10-23 A. V. Khomenko , D. S. Troshchenko , L. S. Metlov

Viscoplastic flow of polycrystalline metallic materials is the result of motion and interaction of dislocations, line defects of the crystalline structure. In the microstructural (physics-based) constitutive model presented in this paper,…

Materials Science · Physics 2018-09-11 S. Amir H. Motaman , Ulrich Prahl

In this work we study a quasi-static evolution of thermo-visco-elastic model with homogeneous thermal expansion. We assume that material is subject to two kinds of mechanical deformations: elastic and inelastic. Inelastic deformation is…

Analysis of PDEs · Mathematics 2016-11-17 Piotr Gwiazda , Filip Z. Klawe , Sebastian Owczarek

This work presents a numerical formulation to model isotropic viscoelastic material behavior for membranes and thin shells. The surface and the shell theory are formulated within a curvilinear coordinate system, which allows the…

Computational Engineering, Finance, and Science · Computer Science 2022-08-24 Karsten Paul , Roger A. Sauer

Shear bands are narrow zones of intense shear observed during plastic deformations of metals at high strain rates. Because they often precede rupture, their study attracted attention as a mechanism of material failure. Here, we aim to…

Analysis of PDEs · Mathematics 2016-11-15 Min-Gi Lee , Athanasios Tzavaras

We deform, in pure shear, a thin sample of Cu$_{50}$Zr$_{50}$ metallic glass using a molecular dynamics simulation up to, and including, failure. The experiment is repeated ten times in order to have average values and standard deviations.…

Materials Science · Physics 2020-02-19 Matias Sepulveda-Macias , Gonzalo Gutierrez , Fernando Lund

A number of current theories of plasticity in amorphous solids assume at their basis that plastic deformations are spatially localized. We present in this paper a series of numerical experiments to test the degree of locality of plastic…

Statistical Mechanics · Physics 2015-05-13 Edan Lerner , Itamar Procaccia

Shear banding is a fundamental non-equilibrium phenomenon in amorphous solids. Due to the intrinsic entangling of three local atomic motions: shear, dilatation and rotation, the precise physical process of shear band emergence is still an…

Disordered Systems and Neural Networks · Physics 2022-02-23 Zeng-Yu Yang , Yun-Jiang Wang , Lan-Hong Dai

A variational modeling framework for hydraulically induced fracturing of elastic-plastic solids is developed in the present work. The developed variational structure provides a global minimization problem. While fracture propagation is…

Numerical Analysis · Mathematics 2025-04-11 Daniel Kienle , Marc-Andre Keip