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Efficient algorithms for problems with friction
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DOI：10.1137/050634141.png)
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In this paper, a nonconforming discretization method for the frictional contact between two bodies subjected to antiplane shear deformation is considered. The method is based on a mixed variational formulation where dual basis functions are used for the discretization of the Lagrange multiplier. Under some regularity assumptions on the solution, an optimal a priori error estimate is obtained. To solve the discrete nonlinear problem an inexact primal-dual active set strategy is introduced. Finally, numerical examples confirming the theoretical result for the a priori error estimate and illustrating the performance of the algorithm are presented. The results can easily be generalized to the case of Coulomb friction. For this case a numerical example is given.
Keyword:
antiplane shear deformation
frictional contact
mixed formulation
dual Lagrange multipliers
nonconforming meshes
optimal a priori error estimates
inexact primal-dual active set strategy
期刊
IF:
2.6
论文数:
5.1K
被引数:
1.8W
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