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首页> 外文期刊>Applied Mathematical Modelling >Crack tip asymptotic fields in anisotropic planes: Importance of higher order terms
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Crack tip asymptotic fields in anisotropic planes: Importance of higher order terms

机译：各向异性飞机中的裂缝尖端渐近领域：高阶项的重要性

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This paper introduces the series expansion of the crack tip asymptotic fields in an anisotropic plane. Using stress-based definitions of the fracture loading modes, we present the series solutions of stresses, strains and displacements associated with the modes Ⅰ and Ⅱ in a cracked anisotropic plane. Special care is given to the first non-singular terms of the stress field, deriving expressions of the T-stress and the crack rigid body rotation. We then present the elasticity solution of an infinite anisotropic plane containing an inclined central crack subjected to uniaxial or biaxial loading. Under such conditions, exact analytical solutions are obtained for all coefficients of the crack tip series expansion. Our results show that the T-term is the only stress parameter that depends on the elastic constants of the anisotropic material. Finally, we evaluate the dependency of the T-stress on the material properties, and show that how significantly the higher order terms, particularly the T-stress, can contribute to the stresses near the crack tip.
机译：本文介绍了各向异性平面中裂纹尖端渐近场的串联膨胀。利用基于应力的裂缝负载模式的定义，我们在裂纹各向异性平面中介绍了与模式Ⅰ和Ⅱ相关的应力，菌株和位移的系列解。特别注意到应力场的第一种非单数术语，导出T应力的表达和裂纹刚体旋转。然后，我们呈现含有倾斜的中央裂纹的无限各向异性平面的弹性溶液，所述中央裂纹受到单轴或双轴载荷。在这种条件下，为裂纹尖端串联膨胀的所有系数获得精确的分析解决方案。我们的结果表明，T型是唯一取决于各向异性材料的弹性常数的应力参数。最后，我们评估了T胁迫对材料特性的依赖性，并且表明，高阶术语，特别是T胁迫，可以有助于裂纹尖端附近的应力。

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