Localization analysis of variationally based gradient plasticity model

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES

卷:50

Article

Jirasek, Milan¹  Rokos, Ondrej¹  Zeman, Jan¹ 

[1] Czech Tech Univ, Dept Mech, Fac Civil Engn, CR-16635 Prague, Czech Republic

关键词: Plasticity;    Softening;    Localization;    Regularization;    Variational formulation;   

DOI  :  10.1016/j.ijsolstr.2012.09.022

来源: Elsevier

【 摘 要 】

The paper presents analytical or semi-analytical solutions for the formation and evolution of localized plastic zone in a uniaxially loaded bar with variable cross-sectional area. A variationally based formulation of explicit gradient plasticity with linear softening is used, and the ensuing jump conditions and boundary conditions are discussed. Three cases with different regularity of the stress distribution are considered, and the problem is converted to a dimensionless form. Relations linking the load level, size of the plastic zone, distribution of plastic strain and plastic elongation of the bar are derived and compared to another, previously analyzed gradient formulation. (C) 2012 Elsevier Ltd. All rights reserved.

【 授权许可】

Free