Simplified prediction of stresses in transversely isotropic composite plates under Hertzian contact load
Simplified prediction of stresses in transversely isotropic composite plates under Hertzian contact load
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DOI：
10.1016/j.compstruct.2005.01.027
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发表时间：
2006-05
影响因子：
6.3
通讯作者：
R. Olsson;S. Nilsson
中科院分区：
文献类型：
--
作者：
R. Olsson;S. Nilsson
本文提出了横观各向同性板在赫兹接触载荷作用下局部应力的一种有效近似。该方法根据经典的板理论，将半空间接触应力的现有闭合形式解与应力场进行叠加。通过改变接触半径，从板厚度的十分之一到两倍，进行了从高度三维情况到弯曲为主情况的参数研究。与三维有限元分析的比较表明，所提出的方法在整个研究范围内产生的误差很小。最后指出，横观各向同性材料中的接触应力可导致加载面上的最大剪应力峰值，这与各向同性材料的结果相反。与以前采用的各向同性接触应力分析相比，实验观察到的损伤预测得到了改进。
This paper proposes an efficient approximation for the local stresses in transversely isotropic plates under Hertzian contact loads. The approach uses superposition of available closed form solutions for contact stresses in a half space and the stress field according to classical plate theory. A parametric study ranging from a highly three-dimensional case to a flexure dominated case is performed by varying the contact radius from one tenth to twice the plate thickness. Comparisons with a three-dimensional finite element analysis demonstrate that the suggested approach yields small errors for the entire range of cases studied. Finally it is shown that contact stresses in a transversely isotropic material may result in a peak of the maximum shear stress on the loaded surface which contrasts to the results for isotropic materials. Improved prediction of experimentally observed damage is noted when comparing with previously adopted isotropic contact stress analyses.