Numerical simulation of microstructures via higher‐order rank‐one relaxation | Zendy

Hoppe Ulrich | Zendy; Hackl Klaus | Zendy

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Numerical simulation of microstructures via higher‐order rank‐one relaxation

Author(s) -

Hoppe Ulrich,

Hackl Klaus

Publication year - 2004

Publication title -

pamm

Language(s) - English

Resource type - Journals

ISSN - 1617-7061

DOI - 10.1002/pamm.200410092

Subject(s) - quasiconvex function , rank (graph theory) , microstructure , relaxation (psychology) , realization (probability) , plasticity , order (exchange) , scale (ratio) , slip (aerodynamics) , computer science , statistical physics , mathematics , algorithm , mathematical optimization , materials science , physics , thermodynamics , geometry , combinatorics , metallurgy , psychology , statistics , economics , social psychology , convex set , finance , convex optimization , regular polygon , quantum mechanics

Calculation of inelastic material behaviour by means of relaxation algorithms provides an effective way to deal with fine‐scale microstructures resulting from non‐quasiconvex potentials. Especially the rank‐one relaxation admits a straight forward algorithmical realization and results in valuable information that enables the reconstruction of the underlying microstructure. This article is concerned with the application of higher–order rank–one relaxation to a single–slip plasticity model and focusses especially on the numerical algorithm. (© 2004 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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