A simple model for viscous regularization of elasto‐plastic constitutive laws with softening | Zendy

Dias da Silva V. | Zendy

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A simple model for viscous regularization of elasto‐plastic constitutive laws with softening

Author(s) -

Dias da Silva V.

Publication year - 2004

Publication title -

communications in numerical methods in engineering

Language(s) - English

Resource type - Journals

eISSN - 1099-0887

pISSN - 1069-8299

DOI - 10.1002/cnm.700

Subject(s) - softening , inviscid flow , constitutive equation , regularization (linguistics) , von mises yield criterion , finite element method , rheology , slip (aerodynamics) , mathematics , computer science , mechanics , structural engineering , materials science , engineering , physics , artificial intelligence , composite material , aerospace engineering , statistics

An overlay‐type rheological model is presented, which is used to introduce viscosity in inviscid elasto‐plastic material laws with softening, in order to reduce the mesh‐dependency of Finite Element solutions. This model is intended to be an alternative to the well‐known visco‐plastic formulations of Perzyna and Duvaut–Lions. A time integration algorithm for the visco‐elastic model component is presented, being demonstrated in the paper, that it is unconditionally stable and oscillation‐free. The algorithm is tested in a problem with slip driven softening (von Mises material) and in a problem with decohesion driven softening (Cam‐Clay model). Figures showing the capability of the algorithm to regularize the solution are presented. Copyright © 2004 John Wiley & Sons, Ltd.

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