Mesh-independent finite difference analysis using gradient-dependent plasticity

Alehossein, H and Korinets, A (2000) Mesh-independent finite difference analysis using gradient-dependent plasticity. Communications in Numerical Methods in Engineering, 16 5: 363-375. doi:10.1002/(SICI)1099-0887(200005)16:5<363::AID-CNM344>3.0.CO;2-W


Author Alehossein, H
Korinets, A
Title Mesh-independent finite difference analysis using gradient-dependent plasticity
Journal name Communications in Numerical Methods in Engineering   Check publisher's open access policy
ISSN 1069-8299
1099-0887
Publication date 2000-05
Sub-type Article (original research)
DOI 10.1002/(SICI)1099-0887(200005)16:5<363::AID-CNM344>3.0.CO;2-W
Volume 16
Issue 5
Start page 363
End page 375
Total pages 13
Editor R Wilis
Place of publication Sussex, U.K.
Publisher John Wiley & Sons
Collection year 2000
Language eng
Subject C1
230116 Numerical Analysis
640200 Primary Mining and Extraction Processes
Formatted abstract
A mesh-independent finite difference method for elastoplastic boundary value problems with strain softening is proposed. The regularization of the problem is achieved by introducing the second-order gradient of the plastic multiplier in the yield function. The addition of a gradient term in the material failure criterion preserves ellipticity or hyperbolicity conditions and consequently removes mesh dependency after the strain-softening regime has been entered. The method is extended to the Mohr–Coulomb material model and the implementation of the gradient-dependent plasticity theory to finite difference codes is discussed.
Copyright © 2000 John Wiley & Sons, Ltd.
Keyword Mathematics, Interdisciplinary Applications
Engineering, Multidisciplinary
Strain Softening
Gradient-dependent Plasticity
Finite Difference (fd) And Finite Element (fe)
Methods
Formulation
Q-Index Code C1

Document type: Journal Article
Sub-type: Article (original research)
Collection: School of Mechanical & Mining Engineering Publications
 
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Created: Tue, 10 Jun 2008, 12:32:20 EST