## Two aggregate-function-based algorithms for analysis of 3D frictional contact by linear complementarity problem formulation.(English)Zbl 1092.74051

Summary: Three-dimensional frictional contact is formulated as linear complementarity problem (LCP) by using the parametric variational principle and quadratic programming method. Two aggregate-function-based algorithms, called respectively self-adjusting interior point algorithm and aggregate function smoothing algorithm, are proposed for the solution of LCP derived from the contact problem. A nonlinear finite element code is developed for numerical analysis of 3D multi-body contact problems. Four numerical examples demonstrate the applicability and computational efficiency of the proposed methods.

### MSC:

 74S05 Finite element methods applied to problems in solid mechanics 74M15 Contact in solid mechanics 74M10 Friction in solid mechanics 74G65 Energy minimization in equilibrium problems in solid mechanics 90C33 Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming)
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### References:

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