Mechanics of Anisotropic Conjugate Pair Approach

Abstract

This thesis proposes conjugate stress/strain pairs, enables to derive constitutive equations without utilizing the invariant theory by using advantages of upper triangular decomposition, improvement for anisotropic materials. Linear small strain and large strain, nonlinear large strain uniaxial composite experimental results have been used to validate transversely isotropic conjugate pair models. Advantages of anisotropic improvement can be justified as isotropic, and anisotropic models can be obtained from the same strain energy density function. Parameters for a conjugate stress/strain model can be more general than those for a Spencer model, for example, they can be unique for a given data set. The conjugate pair model provides a parameter denoted by n (anisotropic parameter) which has a physical meaning. Conjugate pair models provide linear stress/strain relations for classical rubber like behavior.