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On the Consistency of some Eulerian Strain Rates
Author(s) -
Meyers A.
Publication year - 1999
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/(sici)1521-4001(199903)79:3<171::aid-zamm171>3.0.co;2-6
Subject(s) - eulerian path , strain rate , strain (injury) , consistency (knowledge bases) , logarithm , deformation (meteorology) , mathematics , mathematical analysis , materials science , geometry , composite material , medicine , lagrangian , anatomy
Abstract In the past a variety of objective Eulerian strain rates has been considered. By use of the eigenproject concept it is shown that some of those rates, though being objective, are not mathematically admissible. Moreover, when the deformation rate and the objective strain rate are equalized, only a single strain, namely the Hencky strain remains valid. It is related to a single objective rate, the logarithmic rate.