Mechanics of contact between bi-material elastic solids perturbed by a flexible interface†

Mechanics of contact between bi-material elastic solids perturbed by a flexible interface†
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DOI:
10.1093/imamat/hxu001
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发表时间:
2014-10
影响因子:
1.2
通讯作者:
A. Selvadurai
A. Selvadurai
中科院分区:
数学4区
文献类型:
--
作者:
A. Selvadurai

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本文推广了R. D. Mindlin的轴对称问题,涉及集中力在各向同性弹性半空间内部的作用,包括一个双材料区域,该区域被表现出弯曲行为的界面扰动。界面的弯曲行为由Germain-Poisson-Kirchhoff薄板理论描述。一个汉克尔积分变换技术被用来获得一个明确的结果,弯曲界面的偏转。与半空间问题和无限空间问题的常规结果的解决方案的减少。对于板的弯曲行为用E。赖斯纳
This paper generalizes the classical result of R.D. Mindlin for the axisymmetric problem related to the action of a concentrated force at the interior of an isotropic elastic half-space to include a bi-material region that is perturbed by an interface exhibiting flexural behaviour. The flexural behaviour of the interface is described by a Germain–Poisson–Kirchhoff thin plate theory. A Hankel integral transform technique is used to obtain an explicit result for the deflection of the flexural interface. The reduction of the solution to conventional results associated with both half-space problems and infinite space problems is indicated. Formal results are also presented for the case where the flexural behaviour of the plate is modelled by the plate theory proposed by E. Reissner.