Numerical simulation of microstructures based on incremental variational formulations and relaxation methods | Zendy

Hoppe Ulrich | Zendy; Hackl Klaus | Zendy

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Numerical simulation of microstructures based on incremental variational formulations and relaxation methods

Author(s) -

Hoppe Ulrich,

Hackl Klaus

Publication year - 2003

Publication title -

pamm

Language(s) - English

Resource type - Journals

ISSN - 1617-7061

DOI - 10.1002/pamm.200310414

Subject(s) - finite element method , relaxation (psychology) , rank (graph theory) , slip (aerodynamics) , plasticity , mathematics , dynamic relaxation , computer science , mathematical optimization , statistical physics , physics , geometry , thermodynamics , psychology , social psychology , combinatorics

The use of an incremental variational principle allows the calculation of inelastic material behaviour by means of an elastic potential. Missing quasiconvexity of this potential is a serious deficiency, because the existence of regular solutions cannot be guaranteed and finite–element approximations may become mesh–dependent. These problems can be overcome by the use of relaxed potentials. Results of a rank–one relaxation algorithm for a single–slip plasticity model are presented.

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