The influence of non-dissipative quantities in kinematic hardening plasticity

Summary, in English

A kinematic hardening plasticity model valid for finite strains is presented. The model is based on the well-known multiplicative split of the deformation gradient into elastic and plastic parts. The basic ingredient in the formulation is the introduction of a locally defined configuration-a centre configuration-which is associated with a deformation gradient that is used to characterize the kinematic hardening behaviour. The non-dissipative quantities allowed in the model are found when the plastic and kinematic hardening evolution laws are split into two parts: a dissipative part, which is restricted by the dissipation inequality, and a non-dissipative part, which can be chosen without any thermodynamic considerations. To investigate the predictive capabilities of the proposed kinematic hardening formulation, necking of a bar is considered. Moreover, to show the influence of the non-dissipative quantities, the simple shear problem and torsion of a thin-walled cylinder are considered. The numerical examples reveal that the non-dissipative quantities can affect the response to a large extent and are consequently valuable and important ingredients in the formulation when representing real material behaviour.

• Author: Mathias Wallin; Matti Ristinmaa; Niels Saabye Ottosen
• Department/s: Solid Mechanics
• Publishing year: 2004
• Language: English
• Pages: 615-622
• Publication/Series: Proceedings of the Institution of Mechanical Engineers. Part C: Journal of Mechanical Engineering Science
• Volume: 218
• Issue: 6
• Links: http://dx.doi.org/10.1243/095440604774202259
• Document type: Journal article
• Publisher: Professional Engineering Publishing
• Topic: Mechanical Engineering
• Keywords: kinematic hardening; large strains; multiplicative split
• Status: Published
• ISBN/ISSN/Other: ISSN: 0954-4062