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On the Algebra of Two‐Point Tensors on Manifolds with Applications in Nonlinear Solid Mechanics
Author(s) -
Kollmann F. G.,
Hackenberg H.P.
Publication year - 1993
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.19930731107
Subject(s) - point (geometry) , nonlinear system , symmetry (geometry) , mathematics , point group , algebra over a field , pure mathematics , physics , geometry , quantum mechanics
In this paper we consider the algebra of two‐point tensors on manifolds. A new way to define transposition is suggested. Further, we consider orthogonal two‐point tensors. Finally, we investigate symmetry of two‐point and ordinary tensors. We demonstrate applications of our results to examples from nonlinear solid mechanics.