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A mathematical model for poro-visco-plastic compaction and pressure solution in porous sediments has been formulated using the Voigt-type rheological constitutive relation as derived from experimental data. The governing equations reduce to…

Geophysics · Physics 2010-03-30 Xin-She Yang

The thermal effects of plastic and frictional heat generation and elevated temperature were examined along with the role of adhesion in the context of galling wear, using a representative crystal plasticity, normally loaded, sliding surface…

Materials Science · Physics 2019-10-10 Benjamin Poole , Bartosz Barzdajn , Daniele Dini , David Stewart , Fionn Dunne

Complex mixing and magnetic field generation occurs within stellar interiors particularly where there is a strong shear flow. To obtain a comprehensive understanding of these processes, it is necessary to study the complex dynamics of shear…

Solar and Stellar Astrophysics · Physics 2018-10-17 V. Witzke , L. J. Silvers , B. Favier

Flexure of Antarctic ice shelves under excitation from long ocean waves induces mechanical ice shelf stresses that amplify fractures and, hence, contribute to calving events. Here, a solution method is developed for a hydroelastic…

Fluid Dynamics · Physics 2026-05-22 T. K. Papathanasiou , L. G. Bennetts , M. H. Meylan

We numerically investigate the athermal creep deformation of amorphous materials having a wide range of stability. The imposed shear stress serves as the control parameter, allowing us to examine the time-dependent transient response…

Soft Condensed Matter · Physics 2025-10-13 Pinaki Chaudhuri , Ludovic Berthier , Misaki Ozawa

This paper presents a theory for the behaviour of isotropic-hardening/softening elastoplastic materials that do not have a preferred reference configuration. In spite of important differences, many ingredients of classical plasticity are…

Mathematical Physics · Physics 2011-01-11 José Jorge Nader

We formulate a nonlocal cohesive model for calculating the deformation state inside a cracking body. In this model a more complete set of physical properties including elastic and softening behavior are assigned to each point in the medium.…

Analysis of PDEs · Mathematics 2015-07-14 Robert Lipton

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

Shear localization occurs in various instances of material instability in solid mechanics and is typically associated with Hadamard-instability for an underlying model. While Hadamard instability indicates the catastrophic growth of…

Analysis of PDEs · Mathematics 2017-03-09 Theodoros Katsaounis , Julien Olivier , Athanasios E. Tzavaras

Characterizing the softness of deformable materials having partial elastic and partial viscous behaviour via soft lubrication experiments has emerged as a versatile and robust methodology in recent times. However, a straightforward…

Soft Condensed Matter · Physics 2021-07-22 Pratyaksh Karan , Jeevanjyoti Chakraborty , Suman Chakraborty

Plastic deformation in metallic glasses at room temperature leads to the development of shear bands due to shear localization. In many experiments, shear bands have shown local density variations along their path, with a distinct imbalance…

Disordered Systems and Neural Networks · Physics 2024-07-22 Harald Rösner , Arabinda Bera , Alessio Zaccone

We consider a dynamical elasto-plasticity system with Kelvin--Voigt viscosity and linear kinematic hardening of Melan--Prager type. The model is formulated in a variational framework in which a constraint set for the stress evolves in time…

Analysis of PDEs · Mathematics 2026-03-02 Yoshiho Akagawa , Kazunori Matsui

There is an ever-growing need for predictive models for the elasto-viscoplastic deformation of solids. Our goal in this paper is to incorporate recently developed out-of-equilibrium statistical concepts into a thermodynamically consistent,…

Materials Science · Physics 2015-06-18 Ken Kamrin , Eran Bouchbinder

The elasto-plastic material behavior, material strength and failure modes of metals fabricated by additive manufacturing technologies are significantly determined by the underlying process-specific microstructure evolution. In this work a…

Computational Engineering, Finance, and Science · Computer Science 2021-06-30 Jonas Nitzler , Christoph Meier , Kei W. Müller , Wolfgang A. Wall , Neil E. Hodge

We study the two-dimensional (2D) shear flow of amorphous solids within variants of an elastoplastic model, paying particular attention to spatial correlations and time fluctuations of, e.g., local stresses. The model is based on the local…

Soft Condensed Matter · Physics 2014-03-27 Alexandre Nicolas , Kirsten Martens , Lydéric Bocquet , Jean-Louis Barrat

A time-dependent Ginzburg-Landau model of plastic deformation in two-dimensional solids is presented. The fundamental dynamic variables are the displacement field $\bi u$ and the lattice velocity ${\bi v}=\p {\bi u}/\p t$. Damping is…

Soft Condensed Matter · Physics 2016-08-31 Akira Onuki

We use numerical simulations and an athermal quasi-static shear protocol to investigate the yielding of a model colloidal gel. Under increasing deformation, the elastic regime is followed by a significant stiffening before yielding takes…

Soft Condensed Matter · Physics 2015-06-22 Jader Colombo , Emanuela Del Gado

Thermal runaway instability induced by material softening due to shear heating represents a potential mechanism for mechanical failure of viscoelastic solids. In this work we present a model based on a continuum formulation of a…

Materials Science · Physics 2013-05-29 S. Braeck , Y. Y. Podladchikov , S. Medvedev

Flexible piezoelectric devices made of polymeric materials are widely used for micro- and nano-electro-mechanical systems. In particular, numerous recent applications concern energy harvesting. Due to the importance of computational…

Computational Physics · Physics 2014-10-06 Claudio Maruccio , Laura De Lorenzis , Luana Persano , Dario Pisignano

The thermodynamic theory of dislocation-enabled plasticity is based on two unconventional hypotheses. The first of these is that a system of dislocations, driven by external forces and irreversibly exchanging heat with its environment, must…

Materials Science · Physics 2017-12-06 J. S. Langer
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