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T-STRESS SOLUTIONS FOR MULTIPLE EDGE CRACKS IN THICK-WALLED CYLINDERS

机译:厚壁圆柱体中多边裂纹的T应力解

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摘要

In this paper, the boundary element method (BEM) is employed to obtain T-stress solutions for multiple internal edge-cracks in thick-walled cylinders under complex stress distributions. Thick-walled cylinders with two, four and eight internal edge cracks, respectively, are analyzed for a wide range of radius ratios and relative crack lengths. The load cases considered for the cracked cylinder are: ⅰ) crack face pressure with uniform, linear, quadratic and cubic stress distributions and ⅱ) internal pressure in the cylinder. The T-stress results for the uniform and the linear distribution crack face pressure cases are used as the reference solutions to derive weight function solutions for the T-stress for the corresponding geometries. The direct boundary element results of the T-stress for the other nonlinear stress distributions are used to validate the derived T-stress weight functions. Excellent agreements between the BEM results and weight function predictions are obtained. The weight functions derived are suitable for obtaining T-stress solutions for the corresponding cracked thick-walled cylinder under any complex stress fields.
机译:本文采用边界元法(BEM)求得复杂应力分布下厚壁圆柱体内多个内部裂纹的T应力解。分析了分别具有两个,四个和八个内部边缘裂纹的厚壁圆柱体的宽半径比和相对裂纹长度。考虑裂纹的圆柱的载荷工况为:ⅰ)具有均匀,线性,二次和三次应力分布的裂纹面压力;以及)圆柱中的内部压力。将均匀和线性分布裂纹面压力情况下的T应力结果用作参考解,以导出相应几何形状的T应力的权函数。其他非线性应力分布的T应力的直接边界元素结果用于验证导出的T应力权重函数。 BEM结果与权重函数预测之间达成了极好的协议。所导出的权重函数适用于在任何复杂应力场下获得相应裂纹的厚壁圆筒的T应力解。

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