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Simplified prediction of stresses in transversely isotropic composite plates under Hertzian contact load

机译：赫兹接触载荷下横观各向同性复合板应力的简化预测

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摘要

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.
机译：本文提出了在赫兹接触载荷下横向各向同性板中局部应力的有效近似。该方法将可用封闭形式解的叠加用于半空间中的接触应力和根据经典板理论的应力场。通过将接触半径从板厚的十分之一变化到两倍，可以进行从高度三维情况到以挠曲为主的情况的参数研究。与三维有限元分析的比较表明，所建议的方法在所研究的整个案例范围内都会产生较小的误差。最终表明，横向各向同性材料中的接触应力可能会导致加载表面上最大剪切应力的峰值，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，可以改善对实验观察到的破坏的预测。

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