In this paper, two kinds of tensor equations are studied and their solutions are derived in general cases. Then, some compact basis-free representations for the time rate and conjugate stress of logarithmic strain tensors are proposed using six different methods. In addition, relations between the coefficients in these expressions are disclosed. Subsequently, all these basis-free expressions given in this paper are validated for the cases of distinct stretches and double coalescence, respectively. (2000): 74b20, 53A45.
Mathematics Subject Classifications
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