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Crack-tip fields for cracks perpendicular to the interface between dissimilar elastic and creeping materials

机译:垂直于异种弹性材料和蠕变材料之间的界面的裂纹的裂纹尖端场

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The stress fields at the tip of a crack terminating at and perpendicular to the interface under symmetric in-plane loading are investigated. ^The bimaterial interface is formed by a linearly elastic material and an elastic power-law creeping material. ^Using generalized expansions at the crack tip in each region and matching across the interface, a series asymptotic solution is constructed for the stresses and strain rates near the crack tip. ^It is found that the leading-order stress singularities are the same in each material, oscillatory higher-order terms exist in both regions, and a stress higher-order term appears in the elastic material. ^The stress exponents and the angular distributions for singular terms and higher-order terms are obtained for different hardening exponents. ^A full agreement between asymptotic solutions and the full-field finite element solutions was obtained. ^(Author)
机译:研究了在对称面内载荷作用下,裂纹尖端处终止于并垂直于界面的应力场。 ^双材料界面由线性弹性材料和弹性幂律蠕变材料形成。 ^使用每个区域中裂纹尖端处的广义扩展并在整个界面上进行匹配,针对裂纹尖端附近的应力和应变率构建了一系列渐近解。 ^发现每种材料的前导应力奇异性都相同,两个区域中都存在振荡的高阶项,而在弹性材料中出现了应力高阶项。 ^对于不同的硬化指数,获得了奇异项和高阶项的应力指数和角分布。 ^获得了渐近解与全场有限元解之间的完全一致。 ^(作者)

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