接触問題PATCH TESTをパスする有限要素解析アルゴリズムの開発

概要

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A finite element contact analysis algorithm has to pass the so-called patch test. In the convectional algorithm, the virtual work due to contact force has been evaluated by concentrated contact force and corresponding virtual displacement. This means that the contact force at the contact surface between deformable bodies is not transmitted appropriately in the virtual work sense. In this work, a new algorithm based on one-pass approach is proposed. In this algorithm, the virtual work due to contact force is evaluated by integrating it on the contact surface. Furthermore, the nodal contact pressure in the master contact surface is transmitted from that in the slave contact surface by projecting the master node onto the slave element. In this way, the proposed algorithm is enabled to evaluate correctly the equivalent nodal force due to contact yielding the sucess in the patch test. The effectiveness of the new algorithm is verified by a couple of numerical examples.
一般社団法人日本機械学会の論文
2006-01-25