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Computational Material Forces in Micromorphic Continua
Author(s) -
Hirschberger C. Britta,
Kuhl Ellen,
Steinmann Paul
Publication year - 2006
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200610170
Subject(s) - affine transformation , classical mechanics , rotation (mathematics) , finite element method , macro , deformation (meteorology) , mechanics , physics , mathematics , geometry , thermodynamics , computer science , meteorology , programming language
The micromorphic continuum theory is used to describe materials with significant microstructure which thus exhibit scaledependence (see e.g. [1], [2] [3]). Microcontinua are assumed to be attached to each physical point and may experience both stretch and rotation which are affine throughout the microcontinuum, nevertheless kinematically independent from the deformation on the macroscale. The additional kinematical quantities which account for the micro‐deformation yield additional stresses and contributions to the balance of momentum. Additionally to the common finite‐element approximation which here is a coupled problem to be solved for macro‐ and the micro‐quantities, we apply the method of material forces, cf. [4], [5]. (© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)