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首页> 外文会议>Materials structure amp; micromechanics of fracture V >The Analysis of the Stress and Displacement Field Near the Surface Crack Tip Terminating Perpendicular to the Interface Between Two Orthotropic Materials
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The Analysis of the Stress and Displacement Field Near the Surface Crack Tip Terminating Perpendicular to the Interface Between Two Orthotropic Materials

机译：垂直于两种正交异性材料界面的表面裂纹尖端附近的应力和位移场分析

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摘要

The evaluation of the generalized stress intensity factor (GSIF) and T-stress for the case of the surface crack terminating perpendicular to the interface between two orthotropic materials is considered. The combination of the discretization, numerical and analytic methods is used. The discretization method, such as common finite element method (FEM), is served to include the boundary condition to the GSIF solution and to describe the remote stress and displacement field region with the low influence of the singularity of the crack tip. The Lekhnickii-Eshelby-Stroh (LES) formalism is used to derive the approach solution for the near stress field of the crack tip and the singularity problem in an orthotropic 'trimaterial' using the Schwartz-Neumann's alternating technique. The problem of the stress singularity is treated as a non-linear eigenvalue problem, which leads to the characteristic equation for the stress singularities of the form r~(δ-1), 0 < δ < 1. Two ways of the evaluation of the GSIF are presented, using the reciprocal theorem ψ -integral) and the crack model by means of continuous distribution of dislocations. Both results are compared for a specific material. The continuous distribution of dislocations technique is also used for determination of the T-stress.
机译：考虑对表面裂纹垂直于两种正交异性材料之间的界面终止的情况下的广义应力强度因子（GSIF）和T应力进行评估。使用离散化，数值和分析方法的组合。离散化方法（例如通用有限元方法（FEM））用于将边界条件包括到GSIF解中，并描述受裂纹尖端奇异性影响较小的远程应力和位移场区域。使用Lekhnickii-Eshelby-Stroh（LES）形式主义，使用Schwartz-Neumann交替技术来导出正交各向异性“三材料”中裂纹尖端的近应力场和奇异性问题的逼近解。应力奇异性的问题被视为非线性特征值问题，这导致了应力奇异性的特征方程，形式为r〜（δ-1），0 <δ<1。给出了GSIF，使用了互易定理ψ-积分）和通过位错连续分布的裂纹模型。比较两种结果的特定材料。位错的连续分布技术也用于确定T应力。

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