A Natural Generalization of Linear Isotropic Relations with Seth-Hill Strain Tensors to Transversely Isotropic Materials at Finite Strains

• Published in: Mathematical problems in engineering Vol. 2016; no. 2016; pp. 1 - 9
• Main Authors: Zhi-qiao, Wang, Yu, Wang
• Format: Journal Article
• Language: English
• Published: Cairo, Egypt Hindawi Publishing Corporation 01.01.2016; Hindawi Limited
• Subjects: Conjugates; Constitutive equations; Constitutive relationships; Deformation; Elasticity; Hookes law; Isotropic material; Mathematical analysis; Mathematical models; Shear stress; Softening; Stiffening; Strain; Studies; Tensors

Hooke’s law was naturally generalized to finite strains by Hill in 1978, by introducing the Seth-Hill strain and its conjugate stress. This paper presents the transversely isotropic relations, which are not only a natural extension of Hill’s theory from isotropic materials to transversely isotropic...