A higher-order strain gradient plasticity theory with a corner-like effect. (April 2015)

• Record Type: Journal Article
• Authors: Kuroda, Mitsutoshi
• Is Part Of: International journal of solids and structures. Volume 58(2016)
• Page Start: 62
• Page End: 72
• Publication Date: 2015-04
• Subjects: Finite strains -- Size effect -- Shear bands -- Flow localization -- Finite element method; Mechanics, Applied -- Periodicals; Structural analysis (Engineering) -- Periodicals; Elastic solids -- Periodicals; Mécanique appliquée -- Périodiques; Constructions, Théorie des -- Périodiques; Solides élastiques -- Périodiques; Elastic solids; Mechanics, Applied; Structural analysis (Engineering); Periodicals; 624.18
• DOI: 10.1016/j.ijsolstr.2014.12.019
• Languages: English
• ISSNs: 0020-7683

Abstract

Abstract: A corner-like plasticity model originally proposed as a size-independent theory is extended to include a size effect resulting from plastic strain gradients. A method of solving boundary value problems at finite strains is also presented. The efficiency of the new theory is demonstrated through two typical numerical examples: a constrained simple shear problem in which an infinitely long strip bounded by two hard materials is subjected to large shear under plane strain conditions, and a problem of shear band formation in plane strain tension.