Domain decomposition methods applied to solve frictionless-contact problems for multilayer elastic bodies

DOI10.1007/S10778-010-0320-6zbMath1272.74624OpenAlexW2027635218MaRDI QIDQ368361

I. I. Dyyak, I. I. Prokopyshyn, S. I. Matysiak, Alexander Ya. Grigorenko

Publication date: 23 September 2013

Published in: International Applied Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10778-010-0320-6

zbMATH Keywords

frictionless contactdomain decomposition methodlayered compositefinite-element methodelastic composite bodyparallel Dirichlet-Dirichlet algorithm

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Contact in solid mechanics (74M15) Composite and mixture properties (74E30)

Cites Work

• A priori error estimates forhppenalty BEM for contact problems in elasticity
• Micromorphic effects in a modelling of periodic multilayered elastic composites
• Lectures on optimization - theory and algorithms. Notes by M. K. V. Murthy
• A Dirichlet-Neumann type algorithm for contact problems with friction.
• A primal--dual active set strategy for nonlinear multibody contact problems
• Convergence of a Contact-Neumann Iteration for the Solution of Two-Body Contact Problems
• Finite-dimensional contact mechanics
• Derivatives of the energy functional for 2D-problems with a crack under Signorini and friction conditions
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