Existence and uniqueness for frictional incremental and rate problems - sharp critical bounds

DOI10.1002/zamm.201400143zbMath1335.74006OpenAlexW1916050160MaRDI QIDQ2805138

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Publication date: 10 May 2016

Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/zamm.201400143

zbMATH Keywords

Coulomb frictionfinite elementsexistence/uniquenessquasistatic and rate problemssharp critical bounds

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Nonsmooth analysis (49J52) Friction in solid mechanics (74M10) Numerical computation of determinants (65F40) Theories of friction (tribology) (74A55)

Related Items (3)

Existence and multiplicity of solutions in frictional contact mechanics. I: A simplified criterion ⋮ Existence and multiplicity of solutions in frictional contact mechanics. II: Analytical and numerical case study ⋮ Critical elastic parameters motivating divergence instability of frictional composite infinitely long media

Uses Software

• FFSQP(f77)

Cites Work

• Frictional contact problems with normal compliance
• A mixed finite element method and solution multiplicity for Coulomb frictional contact.
• A formulation of the linear discrete Coulomb friction problem via convex optimization
• Multibody contact problem including friction in structure assembly
• Existence of Solutions to Discrete Semicoercive Frictional Contact Problems
• A generalization of the linear complementarity problem
• Contact mechanics
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