Symmetric Galerkin boundary element methods

M Bonnet, G Maier, C Polizzotto - 1998 - asmedigitalcollection.asme.org
This review article concerns a methodology for solving numerically, for engineering
purposes, boundary and initial-boundary value problems by a peculiar approach …

[HTML][HTML] Gradient plasticity theory with a variable length scale parameter

GZ Voyiadjis, RKA Al-Rub - International Journal of solids and structures, 2005 - Elsevier
The definition and magnitude of the intrinsic length scale are keys to the development of the
gradient plasticity theory that incorporates size effects. However, a fixed value of the material …

Regularization of material instabilities by meshfree approximations with intrinsic length scales

JS Chen, CT Wu, T Belytschko - International Journal for …, 2000 - Wiley Online Library
Meshfree approximation, such as Moving Least Square (MLS) and Reproducing Kernel (RK)
approximations, possess intrinsic non‐local properties. These non‐local properties of …

Computational modelling of gradient‐enhanced damage in quasi‐brittle materials

C Comi - Mechanics of Cohesive‐frictional Materials: An …, 1999 - Wiley Online Library
To avoid the well‐known drawbacks of the classical continuum damage theory when
localization occurs, an isotropic gradient‐enchanced damage model is proposed in which …

Finite strain logarithmic hyperelasto-plasticity with softening: a strongly non-local implicit gradient framework

MGD Geers - Computer Methods in Applied Mechanics and …, 2004 - Elsevier
This paper addresses the extension of a Eulerian logarithmic finite strain hyperelasto-
plasticity model in order to incorporate an isotropic plastic damage variable that leads to …

Theoretical and computational aspects of a thermodynamically consistent framework for geometrically linear gradient damage

T Liebe, P Steinmann, A Benallal - Computer Methods in Applied …, 2001 - Elsevier
This paper presents the theory and the numerics of an isotropic gradient damage
formulation within a thermodynamical background. The main motivation is provided by …

A regularization framework for damage–plasticity models via gradient enhancement of the free energy

BJ Dimitrijevic, K Hackl - International Journal for Numerical …, 2011 - Wiley Online Library
We present a framework for the regularization of coupled damage–plasticity models through
gradient enhancement of the Helmholtz‐free‐energy function. This enhancement is …

Theoretical formulation of a coupled elastic—plastic anisotropic damage model for concrete using the strain energy equivalence concept

GZ Voyiadjis, ZN Taqieddin… - International Journal of …, 2009 - journals.sagepub.com
An anisotropic damage constitutive model for concrete is developed within the framework of
elastoplasticity and continuum damage mechanics. The transformation from the effective …

Strongly non‐local gradient‐enhanced finite strain elastoplasticity

MGD Geers, R Ubachs… - International Journal for …, 2003 - Wiley Online Library
This paper presents a gradient plasticity formulation developed in a strongly non‐local
format and applicable to ductile failure for finite strain plasticity. The obtained formulation is …

Objective modeling of strain localization

M Jirásek - Revue française de génie civil, 2002 - Taylor & Francis
This paper provides an elementary introduction into modeling of localized inelastic
processes such as cracking or formation of shear bands. The basic concepts are explained …