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A simple way to define the flow rules of plasticity models is the assumption of generalized normality associated with a suitable pseudo-potential function. This approach, however, is not usually employed to formulate endochronic theory and…

Classical Physics · Physics 2008-12-11 Silvano Erlicher , Nelly Point

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

In the present paper a plastic-damage model for concrete is discussed. Based on the fact that for isotropic materials the elastic trial stress and the projected plastic stress states have the same eigenvec-tors, the loading surface is…

Materials Science · Physics 2007-05-23 Sergey Ananiev , Josko Ozbolt

Fatigue simulation requires accurate modeling of unloading and reloading. However, classical ductile damage models treat deformations after complete failure as irrecoverable -- which leads to unphysical behavior during unloading. This…

Computational Engineering, Finance, and Science · Computer Science 2023-12-06 Leon Herrmann , Alireza Daneshyar , Stefan Kollmannsberger

The plastic flow of a polycrystal is analyzed assuming grains as fine that the rate limiting process is grain boundary sliding, and grains readily accommodate their shapes by slip to preserve spatial continuity. It is shown that thinking of…

Materials Science · Physics 2009-11-19 Miguel Lagos , César Retamal

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 article we propose a discrete lattice model to simulate the elastic, plastic and failure behaviour of isotropic materials. Focus is given on the mathematical derivation of the lattice elements, nodes and edges, in the presence of…

Optimization and Control · Mathematics 2015-05-12 Ioannis Dassios , Andrey Jivkov , Andrew Abu-Muharib , Peter James

A field theory is presented for predicting damage and fracture in quasi brittle materials incorporating effects of irreversible (plastic) deformation as well as elastic moduli that soften with damage. The new observation made here is that…

Materials Science · Physics 2026-03-17 Hayden Bromley , Robert Lipton

It is shown here that fracture after a brief plastic strain, typically of a few percents, is a necessary consequence of the polycrystalline nature of the materials. The polycrystal undergoing plastic deformation is modeled as a flowing…

Materials Science · Physics 2018-08-28 Miguel Lagos , César Retamal , Rodrigo Valle

We develop a mesoscopic model to study the plastic behavior of an amorphous material under cyclic loading. The model is depinning-like and driven by a disordered thresholds dynamics which are coupled by long-range elastic interactions. We…

Soft Condensed Matter · Physics 2023-08-07 Dheeraj Kumar , Sylvain Patinet , Craig E. Maloney , Ido Regev , Damien Vandembroucq , Muhittin Mungan

In this work, we introduce a degenerating PDE system with a time-depending domain for complete damage processes under time-varying Dirichlet boundary conditions. The evolution of the system is described by a doubly nonlinear differential…

Analysis of PDEs · Mathematics 2015-02-20 Christian Heinemann , Christiane Kraus

Pseudopotential theory has greatly driven first-principles calculations in materials, replacing the explicit treatment of the chemically inert core electrons with an effective potential acting only on the valence states. This is inherently…

Materials Science · Physics 2026-05-07 Matteo Quinzi , Tommaso Chiarotti , Nicola Marzari

We reformulate the theory of polycrystalline plasticity, in externally driven, nonequilibrium situations, by writing equations of motion for the flow of energy and entropy associated with dislocations. Within this general framework, and…

Materials Science · Physics 2010-01-21 J. S. Langer , Eran Bouchbinder , Turab Lookman

A constitutive model based on the combination of damage mechanics and plasticity is developed to analyse concrete structures subjected to dynamic loading. The aim is to obtain a model, which requires input parameters with clear physical…

Materials Science · Physics 2011-03-09 Peter Grassl , Ulrika Nystrom , Rasmus Rempling , Kent Gylltoft

Electrostatic theory preserves charges, but allows dipolar excitations. Elasticity theory preserves dipoles, but allows quadrupolar (Eshelby like) plastic events. Charged amorphous granular systems are interesting in their own right; here…

Soft Condensed Matter · Physics 2020-05-13 Prasenjit Das , H. George E. Hentschel , Itamar Procaccia

Review of selected fundamental topics on the interaction between phase transformations, fracture, and other structural changes in inelastic materials is presented. It mostly focuses on the concepts developed in the author's group over last…

Materials Science · Physics 2021-08-24 Valery I. Levitas

In this paper, a thermodynamic analysis of Bouc-Wen models endowed with both strength and stiffness degradation is provided. It is based on the relationship between the flow rules of these models and those of the endochronic plasticity…

Classical Physics · Physics 2009-01-13 Silvano Erlicher , Oreste S. Bursi

A simple phenomenological approach to metal plasticity, including the description of the strain-induced plastic anisotropy, is considered. The advocated approach is exemplified by a two-dimensional rheological analogy. This analogy provides…

Materials Science · Physics 2013-09-13 Alexey Shutov , Jörn Ihlemann

This paper investigates the effects of plasticity on the effective fracture toughness. A layered material is considered as a modelling system. An elastic-plastic phase-field model and a surfing boundary condition are used to study how the…

Computational Engineering, Finance, and Science · Computer Science 2020-10-15 Stella Brach

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
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