Abstract
A new incremental form of constitutive equation and the corresponding nonlinear FEM approach are developed based on an endochronic constitutive equation without using a yield surface; a kind of nonclassical theory of plasticity. Compared with the numerical method proposed elsewhere, the new algorithm greatly reduces the error induced in the numerical process, especially in the region of initial extremely small inelastic strain with its slope of stress-plastic strain curve being sufficiently large. The residual stress field of an autofrettaged thick-walled cylinder and the cyclic stress responses of a notched plate are then analyzed.
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