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Poroplasticity with Cosserat effects
Author(s) -
Chełmiński K.,
Neff P.,
Owczarek S.
Publication year - 2012
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.201100099
Subject(s) - monotone polygon , mathematics , limit (mathematics) , monotonic function , type (biology) , mathematical analysis , geometry , ecology , biology
We prove existence of solutions to a non‐monotone and non‐gradient type quasi‐static model of poroplasticity with Cosserat effects. It is shown that this model possesses global in time solutions, where the inelastic constitutive equation is satisfied in the sense of Young measures. The methods of proof are a monotone approximation, energy estimates, the fundamental theorem on Young measures, and a passage to the limit with the monotone approximation.