期刊
ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK
卷 88, 期 5, 页码 365-377出版社
WILEY-V C H VERLAG GMBH
DOI: 10.1002/zamm.200800003
关键词
balance laws; dissipation inequality; mixtures
Multiphase structured deformations provide a multiscale geometrical setting suitable for distinguishing among (1) separate constituents - N bodies that occupy mutually disjoint regions in space at all times and that submacroscopically may form voids or undergo slips, (2) intermingling constituents - N bodies, each of which splits into small non-overlapping cells that may be in contact with cells of the same or of different constitutents, and (3) mixing constituents - N bodies that interpentrate by occupying overlapping regions in space. Earlier research based on multiphase structured deformations has established balance laws and a dissipation inequality for each constituent within the mixture when that constituent is an elastic body. The balance laws and dissipation inequality were obtained via a limiting argument from corresponding relations for intermingling constitutents whose motions approximate those of the mixing constituents. Here, such limiting arguments are shown to provide balance laws and a dissipation inequality for a much broader class of constituents. (C) 2008 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.
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