An Analytical Solution to Metal Plane Problem in Terms of Orthotropic Anisotropy and Strain Hardening
Yao He Liu, Guo Feng Yi, Jian Xiong
Abstract
Yao He Liu, Guo Feng Yi, Jian Xiong
Abstract
In this paper, the yield condition of Hill’s orthotropic yield criterion under axial symmetric plane stress state was discussed. The yield function of orthotropic material was proposed and the analytical solution to meet the condition of equations of equilibrium and compatibility under axial symmetric plane stress state is obtained, in which the conditions of power hardening materials was considered. The research result indicates that hardening coefficient and anisotropic parameter have substantial influence over stress and strain. However, in the presence of the coefficient R90=H/F,the influence appears to be quite weak.
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In this paper, the yield condition of Hill’s orthotropic yield criterion under axial symmetric plane stress state was discussed. The yield function of orthotropic material was proposed and the analytical solution to meet the condition of equations of equilibrium and compatibility under axial symmetric plane stress state is obtained, in which the conditions of power hardening materials was considered. The research result indicates that hardening coefficient and anisotropic parameter have substantial influence over stress and strain. However, in the presence of the coefficient R90=H/F,the influence appears to be quite weak.
Key concepts: Orthotropic material, Materials science, Plane stress, Anisotropy, Hardening (computing), Strain hardening exponent, Compatibility (geochemistry), Yield (engineering)