A perturbation-based numerical method for solving a three-dimensional axisymmetric indentation problem

被引：0
|
作者：
Grigorios A. Pavliotis
Mark H. Holmes
机构：
[1] Department of Mathematical Sciences,
[2] Rensselaer Polytechnic Institute,undefined
来源：
Journal of Engineering Mathematics | 2002年 / 43卷
关键词：
axisymmetric indentation; mechanoreceptors; modified numerical scheme; thin-layer approximation;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The three-dimensional axisymmetric problem of the indentation of a thin compressible linear elastic layer bonded to a rigid foundation is considered. Approximate analytical solutions of the problem that incorporate a large portion of the singular deformation gradients near the edge of the indenter are presented. An accurate closed-form expression for the deformation as well as the deformation gradient throughout the layer is provided and its effectiveness in solving the problem numerically is demonstrated. By incorporating the approximate solution into the numerical scheme the accuracy and convergence rate increase dramatically.
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页码：1 / 17
页数：16
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