On the finite element analysis of contacting bodies using submodelling
On the finite element analysis of contacting bodies using submodelling
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DOI：
10.1243/030932405x7836
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发表时间：
2005-02-01
影响因子：
1.6
通讯作者：
Nowell, D
中科院分区：
文献类型：
--
作者：
Rajasekaran, R;Nowell, D
以部分滑移的Cattneo-Mindlin问题为例，强调了用子模型方法求解接触问题时选择不同的接触算法的意义。结果表明，通过采用惩罚公式，部分滑移状态可能被错误地预测为完全滑动，而拉格朗日公式则预测了正确的滑块行为。用解析法计算了接触中心线上的位移，并与有限元结果进行了比较。结果表明，拉格朗日乘子法的预测结果与分析结果吻合较好，而罚函数法的预测结果对所选取的滑移量较为敏感。结论是，在对流离失所控制问题使用惩罚公式时应谨慎行事。
The implication of selecting different contact algorithms in solving a contact problem by a submodelling approach is highlighted using the example of a partial slip Cattaneo-Mindlin problem. It is shown that, by employing a penalty formulation, the state of partial slip can be incorrectly predicted as full sliding whereas a Lagrange formulation predicts the correct slipstick behaviour. The displacements along the centre-line of contact are calculated by analytical approach and compared with finite element results. It is found that the Lagrange multiplier approach predictions match the analytical results well, but prediction by the penalty formulation is sensitive to the slip tolerance selected. It is concluded that care should be exercised while using the penalty formulation for displacement-controlled problems.