工程力学中的互补问题:模型

Complementarity problems in engineering mechanics:models

对互补问题在非线性力学中的一些应用情况给出了较概括的介绍,重点放在了静态接触问题、弹塑性问题以及结构优化问题的互补模型上。将力学问题写成互补模型的好处主要有两点:一是使力学问题有更自然、更精确的数学描述;二是可以考虑用互补问题的有效和强健的数值算法来求解。

This paper gives a brief introduction to some applications of complementarity problems in nonlinear mechanics. The emphasis is laid on the complementarity models of static contact problems, elastoplasticity problems and structural optimization problems. The advantage of formulating the mechanical problems as complementarity models is twofold: Firstly, it offers a more natural and more refined mathematical formalism. Secondly, the resulting complementarity problems can be solved by some efficient and robust numerical algorithms.