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Comments on objective rates of 2nd order, symmetric Eulerian tensors
Author(s) -
Meyers A. T. M.,
Chiesse P. S.,
Xiao H.,
Bruhns O. T.
Publication year - 2000
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.20000801490
Subject(s) - eulerian path , logarithm , strain rate , measure (data warehouse) , mathematics , euclidean space , deformation (meteorology) , order (exchange) , finite strain theory , infinitesimal strain theory , space (punctuation) , mathematical analysis , physics , computer science , thermodynamics , finance , lagrangian , database , finite element method , meteorology , economics , operating system
It is shown that objective rates of objective and symmetric second order Eulerian tensors should be corotational when one restricts to a single Euclidean vector space. As a consequence, when we equalize the objective strain rate and the deformation rate, only the Hencky strain is a mathematically consistent strain measure; and only the logarithmic rate is an admissible strain rate.
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