有限要素法と剛体-ばねモデル法の併用解法の接触問題への適用

概要

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A combined model of the FEM and the RBSM is proposed and formulated to the plane stress problems by using the same concept in the RBSM. The combination method is applied to the following typical contact problem. A plate with a circular hole contains a circular disk with the same initial diameter as the hole. The plate is loaded in uniaxial tension. The plate is divided into finite elements of the FEM and the disk into rigid elements of the RBSM, respectively. The combined model is introduced to the plate-disk interface, and the condition of perfect lubrication without any friction or sticking friction is assumed along the interface. Distributions of the contact stresses, that is, the normal stresses on the contact arcs are analyzed by the combination method, and its results are compared with those by exact elastic analysis and the FEM. The combination method proposed here is found to be effective for contact problems. Some techniques for mesh division of the disk are examined, and it is clarified that the total number of rigid elements can be reduced for analyzing contact problems.
日本シミュレーション学会の論文
1987-07-15