Journal ArticleDOI
FE-formulation of a nonlocal plasticity theory
Lena Strömberg,Matti Ristinmaa +1 more
Reads0
Chats0
TLDR
In this paper, a nonlocal continuum plasticity theory is presented, which is defined as a certain weighted average of the corresponding local field, taken over all the material points in the body, where a quantity with the dimension of length occurs as a material parameter.About:
This article is published in Computer Methods in Applied Mechanics and Engineering.The article was published on 1996-09-15. It has received 173 citations till now. The article focuses on the topics: Integral equation & Discretization.read more
Citations
More filters
Journal ArticleDOI
Nonlocal integral formulations of plasticity and damage: Survey of progress
Zdenek P. Bazant,Milan Jirásek +1 more
TL;DR: The nonlocal continuum concept has emerged as an effective means for regularizing the boundary value problems with strain softening, capturing the size effects and avoiding spurious localization that gives rise to pathological mesh sensitivity in numerical computations as mentioned in this paper.
Journal ArticleDOI
Nonlocal models for damage and fracture: Comparison of approaches
TL;DR: In this paper, the authors analyzed nonlocal constitutive models used in simulations of damage and fracture processes of quasibrittle materials and found that some of them inevitably lead to residual stresses even at very late stages of the deformation process and, consequently, they are not capable of modeling complete separation in a widely open macroscopic crack.
Journal ArticleDOI
Nonlocal implicit gradient-enhanced elasto-plasticity for the modelling of softening behaviour
TL;DR: In this paper, an improved gradient-enhanced approach for softening elasto-plasticity is proposed, which in essence is fully nonlocal, i.e. an equivalent integral nonlocal format exists.
Journal ArticleDOI
Taylor-based nonlocal theory of plasticity
Huajian Gao,Yonggang Huang +1 more
TL;DR: In this article, a Taylor-based nonlocal theory of plasticity is proposed to account for the size dependence of plastic deformation at micron and submicron length scales, which can be applied to void growth, cavitation instabilities and particle-reinforced composites, as well as comparison with experiments on micro-torsion, micro-bending and microindentation.
Journal ArticleDOI
Comparison of integral-type nonlocal plasticity models for strain-softening materials
Milan Jirásek,Simon Rolshoven +1 more
TL;DR: In this article, the authors analyzed and compared a number of softening plasticity models regularized by nonlocal averaging and showed that some of the theoretically appealing formulations are not genuine localization limiters, and that a localized plastic zone of nonzero measure is obtained only with softening laws that take into account the effect of both the local and the nonlocal cumulative plastic strain.
References
More filters
Book
The finite element method
TL;DR: In this article, the methodes are numeriques and the fonction de forme reference record created on 2005-11-18, modified on 2016-08-08.
Book
Mathematical Methods for Physicists
TL;DR: In this article, the authors present a model for vector analysis based on the Calculus of Variations and the Sturm-Liouville theory, which includes the following: Curved Coordinates, Tensors.
Book
The mathematical theory of plasticity
TL;DR: In this paper, the solution of two-dimensional non-steady motion problems in two dimensions is studied. But the solution is not a solution to the problem in three dimensions.
Book
Linear and nonlinear programming
David G. Luenberger,Yinyu Ye +1 more
TL;DR: Strodiot and Zentralblatt as discussed by the authors introduced the concept of unconstrained optimization, which is a generalization of linear programming, and showed that it is possible to obtain convergence properties for both standard and accelerated steepest descent methods.
Related Papers (5)
Gradient-dependent plasticity: formulation and algorithmic aspects
René de Borst,Hans Muhlhaus +1 more
Nonlocal integral formulations of plasticity and damage: Survey of progress
Zdenek P. Bazant,Milan Jirásek +1 more