Based on the Cayley-Hamilton theorem and fixed-point method, we provide an elementary proof for the representation theorem of analytic isotropic tensor functions of a second-order tensor in a three-dimensional (3D) inner-product space, which avoids introducing the generating function and Taylor series expansion. The proof is also extended to any finite-dimensional inner-product space.
Tianbo WANG, Dinglin YANG, Chen LI, Diwei SHI
. An elementary proof for the representation theorem of analytic isotropic tensor functions of a second-order tensor[J]. Applied Mathematics and Mechanics, 2021
, 42(5)
: 747
-754
.
DOI: 10.1007/s10483-021-2718-9
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