کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
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277839 | 1430247 | 2014 | 4 صفحه PDF | دانلود رایگان |
A material is of coaxial type if the Cauchy stress tensor TT and the strain tensor BB 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 BB we have that TB=BTTB=BT. We denote these materials BB-coaxial. We show that for transverse isotropic materials weak coaxial constitutive equations may be characterized using universal relations. We discuss the impact of BB-coaxial materials in the modeling of soft tissues. We conclude that BB-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.
Journal: International Journal of Solids and Structures - Volume 51, Issue 2, 15 January 2014, Pages 377–380