The extension of the method of dimensionality reduction to layered elastic media

The extension of the method of dimensionality reduction to layered elastic media
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DOI：
10.1002/zamm.201700213
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发表时间：
2018-04
期刊：
ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik
影响因子：
--
通讯作者：
I. Argatov;M. Hess;Valentin L. Popov
I. Argatov;M. Hess;Valentin L. Popov
中科院分区：
其他
文献类型：
--
作者：
I. Argatov;M. Hess;Valentin L. Popov

文献摘要

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本文将降维法推广到层状弹性介质轴对称单边接触问题，使连续不均匀弹性地基的情况也包括在内。相应的MDR形式主义已被开发为一个圆形的接触面积。考虑非粘性接触和JKR型粘性接触。通过两个特殊的情况下，和新的结果，特别是，已经推导出的情况下的功能梯度固体的指数规律的不均匀性的理论进行了验证。
The method of dimensionality reduction (MDR) has been extended to the axisymmetric unilateral contact problem for a layered elastic medium so that the case of continuously inhomogeneous elastic foundation is covered as well. The corresponding MDR formalism has been developed for a circular contact area. Both the non‐adhesive contact and the JKR‐type adhesive contact are considered. The developed theory is verified by means of two special cases, and new results, in particular, have been derived for the case of a functionally graded solid with an exponential law of inhomogeneity.