A mathematical programming approach to three-dimensional contact problems with friction
Computer Methods in Applied Mechanics and Engineering
Iterative methods for the solution of elliptic problems on regions partitioned into substructures
SIAM Journal on Numerical Analysis
A mixed formulation for frictional contact problems prone to Newton like solution methods
Computer Methods in Applied Mechanics and Engineering
Matrix computations (3rd ed.)
Computational Optimization and Applications
A Primal-Dual Active Set Algorithm for Three-Dimensional Contact Problems with Coulomb Friction
SIAM Journal on Scientific Computing
SIAM Journal on Optimization
Optimal Quadratic Programming Algorithms: With Applications to Variational Inequalities
Optimal Quadratic Programming Algorithms: With Applications to Variational Inequalities
SIAM Journal on Scientific Computing
A scalable TFETI algorithm for two-dimensional multibody contact problems with friction
Journal of Computational and Applied Mathematics
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The paper analyzes a continuous and discrete version of the Neumann-Neumann domain decomposition algorithm for two-body contact problems with Tresca friction. Each iterative step consists of a linear elasticity problem for one body with displacements prescribed on a contact part of the boundary and a contact problem with Tresca friction for the second body. To ensure continuity of contact stresses, two auxiliary Neumann problems in each domain are solved. Numerical experiments illustrate the performace of the proposed approach.