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.

• Författare: Mathias Wallin; Matti Ristinmaa; Niels Saabye Ottosen
• Avdelning/ar: Hållfasthetslära
• Publiceringsår: 2004
• Språk: Engelska
• Sidor: 615-622
• Publikation/Tidskrift/Serie: Proceedings of the Institution of Mechanical Engineers. Part C: Journal of Mechanical Engineering Science
• Volym: 218
• Issue: 6
• Länkar: http://dx.doi.org/10.1243/095440604774202259
• Dokumenttyp: Artikel i tidskrift
• Förlag: Professional Engineering Publishing
• Ämne: Mechanical Engineering
• Nyckelord: kinematic hardening; large strains; multiplicative split
• Status: Published
• ISBN/ISSN/Övrigt: ISSN: 0954-4062