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

  1. Ulrich Hoppe*,
  2. Klaus Hackl†

Article first published online: 24 NOV 2004

DOI: 10.1002/pamm.200410092

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PAMM

PAMM

Volume 4, Issue 1, pages 221–222, December 2004

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How to Cite

Hoppe, U. and Hackl, K. (2004), Numerical simulation of microstructures via higher-order rank-one relaxation. Proc. Appl. Math. Mech., 4: 221–222. doi: 10.1002/pamm.200410092

Author Information

  1. Institute of Mechanics, University of Bochum, D-44780 Bochum, Germany

  1. †

    Phone: +49 234 3225729, Fax: +49 234 3214154

*Phone: +49 234 3226027, Fax: +49 234 3214154

Publication History

  1. Issue published online: 24 NOV 2004
  2. Article first published online: 24 NOV 2004

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Abstract

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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