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**Penalty method for three-dimensional elastic contact problems by boundary element method.**
*(English)*
Zbl 0872.73072

Summary: An effective boundary element method (BEM) for three-dimensional elastostatic contact problems is developed by using the penalty method. The contact conditions of the slip, stick and releasing states on the contact surface of two bodies are assembled into a total virtual work functional, and a system of integral equations for boundary values is formulated without any increase in the unknown parameters by introducing a penalty coefficient. A BEM based on this formulation is applied to typical three-dimensional contact problems such as the contacts between a cylinder and a block, and between cylinders. The shapes and displacements are also measured by an experiment with silicon rubber. The numerical results agree well with the analytical solutions and the experimental results.

### MSC:

74S15 | Boundary element methods applied to problems in solid mechanics |

74A55 | Theories of friction (tribology) |

74M15 | Contact in solid mechanics |