Time rates of tensors in continuum mechanics under arbitrary time dependent transformations Part II : Systems of materially objective time rates of tensors

Kozák, Imre (2002) Time rates of tensors in continuum mechanics under arbitrary time dependent transformations Part II : Systems of materially objective time rates of tensors. JOURNAL OF COMPUTATIONAL AND APPLIED MECHANICS, 3 (2). pp. 141-156. ISSN 1586-2070

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Abstract

Relations have been deduced for the material time rates of deformation tensors of a body in coordinate systems moving arbitrarily with respect to each other. The concept of materially objective time rates of tensors is associated with the concept of co-ordinates systems moving arbitrarily (the transformations are time dependent and arbitrary) which respect to each other, rather than with rigid body motion (the transformations are orthogonal) as generally accepted in the literature. It has been shown that one part of the materially objective time rates of tensors found in literature and also those proposed in this paper are materially objective for arbitrary time dependent transformations, while their other part for orthogonal transformations only.

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