Preprints

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Nummer 2470
Autor Neff, Patrizio
Chelminski, Krzysztof
Müller, Wolfgang
Wieners, Christian
Titel A numerical solution method for an infinitesimal elasto-plastic Cosserat model
Upload 23.8.2006
MSC 65N55
65F10
74A35
Schlüsselwörter plasticity
polar materials
perfect plasticity
convex analysis
dual formulation
finite elements

Abstract:
We present a finite element implementation of a Cosserat elasto-plastic model allowing for non-symmetric stresses and we provide a numerical analysis of the introduced time-incremental algorithm. The model allows the use of standard tools from convex analysis as known from classical Prandtl-Reuss plasticity. We derive the dual stress formulation and show that for vanishing Cosserat couple modulus $\mu_c\to 0$ the classical problem with symmetric stresses is approximated. Our numerical results testify to the robustness of the approximation. Notably, for positive couple modulus $\mu_c>0$ there is no need for a safe-load assumption. For small $\mu_c$ the response is numerically indistinguishable from the classical response.

Datei:
2470.pdf

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Verantwortliche Autorin: Anke Meier-Dörnberg

 


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