Assessing the complete solution set of the planar frictional wedging problem

DOI10.1016/j.cma.2010.12.019zbMath1239.74063OpenAlexW2094740439MaRDI QIDQ423574

António Pinto da Costa

Publication date: 2 June 2012

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2010.12.019

zbMATH Keywords

Coulomb frictionfinite elementscomplementarityunilateral contactwedged equilibrium state

Mathematics Subject Classification ID

Contact in solid mechanics (74M15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) PDEs in connection with mechanics of deformable solids (35Q74)

Uses Software

• Meschach

Cites Work

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• Enumeration of all wedged equilibrium configurations in contact problem with Coulomb friction
• Inertia characteristics of self-adjoint matrix polynomials
• A mixed finite element method and solution multiplicity for Coulomb frictional contact.
• The generalized linear complementarity problem and an algorithm to find all its solutions
• Complementarity formulations and existence of solutions of dynamic multi-rigid-body contact problems with Coulomb friction
• Dynamic stability of finite dimensional linearly elastic systems with unilateral contact and Coulomb friction
• Critical friction for wedged configurations
• Solution multiplicity and stick configurations in continuous and finite element friction problems
• On wedged configurations with Coulomb friction
• On Dynamic Multi‐Rigid‐Body Contact Problems with Coulomb Friction
• Sufficient conditions of non-uniqueness for the Coulomb friction problem
• Non-unique slipping in the coulomb friction model in two-dimensional linear elasticity

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