Authors: Schweizer, Ben
Title: Homogenization of the Prager model in one-dimensional plasticity
Language (ISO): en
Abstract: We propose a new method for the homogenization of hysteresis models of plasticity. For the one-dimensional wave equation with an elasto-plastic stress-strain relation we derive averaged equations and perform the homogenization limit for stochastic material parameters. This generalizes results of the seminal paper by Francu and Krejcí. Our approach rests on energy methods for partial differential equations and provides short proofs without recurrence to hysteresis operator theory. It has the potential to be extended to the higher dimensional case.
Subject Headings: effective model
hysteresis
plasticity
Prager model
differential inclusion
nonlinear wave equation
URI: http://hdl.handle.net/2003/25189
http://dx.doi.org/10.17877/DE290R-91
Issue Date: 2008-04-15T12:01:21Z
URL: http://dx.doi.org/10.1007/s00161-009-0094-4
Citation: Schweizer, B. (2009). Homogenization of the Prager model in one-dimensional plasticity. Continuum Mechanics & Thermodynamics, 20(8), 459-477. doi:10.1007/s00161-009-0094-4.
Appears in Collections:Schweizer, Ben Prof. Dr.
Preprints der Fakultät für Mathematik

Files in This Item:
File Description SizeFormat 
mathematicalPreprint04.pdf322.1 kBAdobe PDFView/Open


This item is protected by original copyright



All resources in the repository are protected by copyright.