Gradient plasticity in isotropic solids. (October 2022)

• Record Type: Journal Article
• Authors: Steigmann, D. J.
• Other Names: Bersani Alberto Maria guest-editor.; Cazzani Antonio M guest-editor.; Eremeyev Victor guest-editor.; Giorgio Ivan guest-editor.; Spagnuolo Mario guest-editor.
• Is Part Of: Mathematics and mechanics of solids. Volume 27:Number 10(2022)
• Page Start: 1896
• Page End: 1912
• Publication Date: 2022-10
• Subjects: gradient plasticity -- material uniformity -- Ricci curvature; Materials -- Mechanical properties -- Periodicals; Solids -- Periodicals; Materials science -- Mathematics -- Periodicals; 620.11205
• DOI: 10.1177/10812865211050212
• Languages: English
• ISSNs: 1081-2865

Abstract

We discuss a framework for the description of gradient plasticity in isotropic solids based on the Riemannian curvature derived from a metric induced by plastic deformation. This culminates in a flow rule in the form of a fourth-order partial differential equation for the plastic strain rate, in contrast to the second-order flow rules that have been proposed in alternative treatments of gradient plasticity in isotropic solids.