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Mathematics and Mechanics of Solids
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A Universal Relation Characterizing Transversely Hemitropic Hyperelastic Materials

Giuseppe Saccomandi

Dipartimento di Metodi e Modelli Matematici, Universitaacgr di Roma "La Sapienza," Via Scarpa, 00161 Roma, Italy

Maurizio Vianello

Dipartimento di Matematica, Politecnico di Milano, Piazza Leonardo da Vinci 32, 20133 Milano, Italy

A relation between strain and stress, which is satisfied by transversely hemitropic hyperelastic materials for all finite deformations, is shown to characterize completely this symmetry class.

Mathematics and Mechanics of Solids, Vol. 2, No. 2, 181-188 (1997)
DOI: 10.1177/108128659700200205
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Mathematics and Mechanics of Solids, February 1, 2002; 7(1): 95 - 110.
[Abstract] [PDF]