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首页> 外文期刊>International Journal of Solids and Structures >Stress singularities in an anisotropic body of revolution
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Stress singularities in an anisotropic body of revolution

机译：各向异性旋转体中的应力奇异性

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摘要

To fill the gap in the literature on the application of three-dimensional elasticity theory to geometrically induced stress singularities, this work develops asymptotic solutions for Williams-type stress singularities in bodies of revolution that are made of rectilinearly anisotropic materials. The Cartesian coordinate system used to describe the material properties differs from the coordinate system used to describe the geometry of a body of revolution, so the problems under consideration are very complicated. The eigenfunction expansion approach is combined with a power series solution technique to find the asymptotic solutions by directly solving the three-dimensional equilibrium equations in terms of the displacement components. The correctness of the proposed solution is verified by convergence studies and by comparisons with results obtained using closed-form characteristic equations for an isotropic body of revolution and using the commercial finite element program ABAQUS for orthotropic bodies of revolution. Thereafter, the solution is employed to comprehensively examine the singularities of bodies of revolution with different geometries, made of a single material or bi-materials, under different boundary conditions.
机译：为填补三维弹性理论在几何上引起的应力奇异性中的应用文献中的空白，这项工作为由直线各向异性材料制成的旋转体中的Williams型应力奇异性开发了渐近解。用于描述材料特性的笛卡尔坐标系不同于用于描述旋转物体的几何形状的坐标系，因此所考虑的问题非常复杂。本征函数展开法与幂级数解技术相结合，可以通过直接根据位移分量求解三维平衡方程来找到渐近解。通过收敛性研究以及与使用各向同性旋转体的封闭形式特征方程和使用正交各向异性旋转体的商业有限元程序ABAQUS获得的结果进行比较，验证了所提出解决方案的正确性。此后，该解决方案用于全面检查由单一材料或双材料制成的具有不同几何形状的旋转物体在不同边界条件下的奇异性。

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