接触问题的拓扑导数

2011 16th International Conference on Methods & Models in Automation & Robotics Pub Date : 2011-09-29 DOI:10.1109/MMAR.2011.6031346

J. Sokołowski, A. Zochowski

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引用次数: 0

摘要

给出了在拉普拉斯算子情况下的steklov - poincar算子的一阶展开式和在奇异摄动域上的弹性边值问题的一阶展开式。这样的展开是评估能量形状泛函的拓扑导数所必需的。

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Topological derivatives for contact problems in ℝ3

Formulae for the first order expansions of the Steklov-Poincaré operators in the case of the Laplace operator and of the elasticity boundary value problems in singularly perturbed domains in ℝ3 are presented. Such expansions are required for the evaluation of topological derivatives of the energy shape functionals.

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来源期刊

2011 16th International Conference on Methods & Models in Automation & Robotics

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