带有摩擦的单边接触大变形问题的研究(Ⅱ)——非线性有限元解及应用

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On Unilateral Contact Large Deformation Problem with Friction——(Ⅱ) Nonlinear Finite Element Technique and Its Application

摘要: 在文[1]所建立的增量变分力程的基础上,本文建立了单边接触弹塑性大变形问题的非线性有限元增量方程;进一步阐述了基于拖带坐标系的大变形有限元方法的特点,建立了实用的大变形接触模型.作为应用实例,计算了悬臂梁、厚圆板的弹性接触大变形和金属圆环弹塑性接触大变形问题,得到了令人满意的计算结果.

Abstract: Based on the variational equation derived in ref.[1], a nonlinear incremental F.E. equation is formulated for unilateral contact elastic and plastie large deformation problems. A new technique-co-moving coordinate finite element method is introduced, and a practical mathematical model for large deformation contact problem is described. To show the effectiveness of the method, problems of contact large deformation of cantilever bean, circular plate, as well as metal ring are computed. Compared with experiments, the results show good agreements.

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