Comparison of two projection methods for the solution of frictional contact problems. (English) Zbl 1524.74363
Summary: Frictional contact problems in linear elasticity are considered in this paper. The contact constraint is imposed in the weak sense using the fixed point method, which leads to a variational equation problem. For solving such a nonlinear variational problem, we study two projection methods using different self-adaptive rules. Based on the self-adaptive projection method, we propose a modified self-adaptive rule which is more effective to update the parameter. The methods can be implemented easily in conjunction with the boundary element method for the solution. Numerical experiments are reported to illustrate theoretical results.
MSC:
| 74M10 | Friction in solid mechanics |
| 35Q74 | PDEs in connection with mechanics of deformable solids |
| 76M15 | Boundary element methods applied to problems in fluid mechanics |
| 76M99 | Basic methods in fluid mechanics |
Keywords:
frictional contact problem; variational inequality; projection method; self-adaptive rule; boundary elementReferences:
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