On some models for elastic solids with micro-structure

R. Picard, S. Trostorff, M. Waurick

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

We review the concept of well-posedness in the context of evolutionary problems from mathematical physics for a particular subclass of problems from elasticity theory modeling solids with micro-structure. The complexity of physical phenomena appears as encoded in so called material laws. The usefulness of the structural perspective developed is illustrated by showing that many initial boundary value problems in the theory of such elastic solids share the same type of solution theory. Moreover, interconnections of the respective models are discussed via a previously introduced mother/descendant mechanism.
Original languageEnglish
Pages (from-to)664-689
Number of pages26
JournalZeitschrift fur Angewandte Mathematik und Mechanik
Volume95
Issue number7
Early online date12 Mar 2014
DOIs
Publication statusPublished - 31 Jul 2015

Keywords

  • well-posedness
  • elasticity theory
  • micro-structure
  • boundary value problem

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