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

被引：14

作者：

Argatov, I. ^{[1
]}

Hess, M. ^{[1
]}

Popov, V. L. ^{[1
]}

机构：

[1] Tech Univ Berlin, Inst Mech, Str 17 Juni 135, D-10623 Berlin, Germany

来源：

ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK | 2018年 / 98卷 / 04期

关键词：

Contact problem; unilateral contact; self-similar contact; method of dimensionality reduction; HALF-SPACE; INDENTATION PROBLEM; CONTACT; DEPTH; PUNCH; GRADIENTS; INDENTER; FRICTION; SOLIDS; REGION;

D O I：

10.1002/zamm.201700213

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：622 / 634

页数：13

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