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Asymptotic Analysis for the Singular Stress Behaviour around an Interface Edge of Dissimilar Power-law Hardening Materials Joint

机译:异幂律硬化材料接头界面边缘周围奇异应力行为的渐近分析

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An asymptotic analysis for singular stress fields around an interface-edge of dissimilar power-law hardening materials joint has been presented under plane strain condition and J2 deformation plasticity theory. Both the balance of force and the continuity of displacement are satisfied on the interface. In the higher order approximation, the nonlinear effective stress term was expanded by Taylor series. An iteration method is proposed for the determination of singular fields around interface edge. Multiple stress singular terms exist for (n_1-n_2)<1 in the higher orderrnapproximation. The order of stress singularity has a dependency with the combination of hardening exponents, n_1 and n_2.
机译:提出了在平面应变条件和J2变形塑性理论的作用下,异种幂律硬化材料接头界面边缘周围奇异应力场的渐近分析。界面上既满足了力的平衡,又满足了位移的连续性。在高阶近似中,非线性有效应力项由泰勒级数展开。提出了一种迭代方法来确定界面边缘周围的奇异场。对于(n_1-n_2)<1,存在多个高阶奇异项的应力奇异项。应力奇异性的顺序与硬化指数n_1和n_2的组合有关。

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