Tensor Expression of Elastic-Plastic Constitutive Equation Based on Hill's Anisotropic Yield Surface Equation
Hiroyasu YAMAMOTO, Chunhung CHEN
Abstract
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Hiroyasu YAMAMOTO, Chunhung CHEN
Abstract
Open-access reader
The tensor expression of Hill's anisotropic yield surface equation has been considered, and the elastic-plastic constitutive equation for anisotropic materials has been derived from its yield surface equation. Then, by applying this constitutive equation to the uniaxial tensile deformation, the equation for the size variation of tensile specimen has been obtained.
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The tensor expression of Hill's anisotropic yield surface equation has been considered, and the elastic-plastic constitutive equation for anisotropic materials has been derived from its yield surface equation. Then, by applying this constitutive equation to the uniaxial tensile deformation, the equation for the size variation of tensile specimen has been obtained.
Key concepts: Constitutive equation, Cauchy elastic material, Yield surface, Anisotropy, Materials science, Tensor (intrinsic definition), Yield (engineering), Ultimate tensile strength