期刊
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
卷 51, 期 2, 页码 377-380出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ijsolstr.2013.10.010
关键词
Coaxiality; Universal relations; Transverse isotropic materials
类别
资金
- Istituto Nazionale di Alta Matematica (Italy)
- PRIN Matematica e meccanica dei sistemi biologici e dei tessuti molli
A material is of coaxial type if the Cauchy stress tensor T and the strain tensor B are coaxial for all deformations. Clearly a hyperelastic material is of coaxial type if and only if it is isotropic. Here we present a weaker definition of materials of coaxial type. Anisotropic materials may be of a coaxial type in a weak sense if for a given specific B we have that TB = BT. We denote these materials B-coaxial. We show that for transverse isotropic materials weak coaxial constitutive equations may be characterized using universal relations. We discuss the impact of B-coaxial materials in the modeling of soft tissues. We conclude that B-coaxial materials are a strong evidence that in real world materials two anisotropic invariants are always necessary to model in a meaningful and correct way single fiber reinforced materials. (C) 2013 Elsevier Ltd. All rights reserved.
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