Generalized Newton method in contact mechanics

DOI10.1016/S0021-7824(97)89946-1zbMath0868.49021OpenAlexW2026164650MaRDI QIDQ1354979

Pierre Alart

Publication date: 18 August 1997

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0021-7824(97)89946-1

zbMATH Keywords

global convergenceelastoplasticityfrictionNewton methodobstacle problemcontact mechanicsunilateral contactsystems of non-differentiable equations

Mathematics Subject Classification ID

Newton-type methods (49M15) Nonsmooth analysis (49J52) Contact in solid mechanics (74M15) Theories of friction (tribology) (74A55)

Related Items (20)

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Cites Work

• Unilateral problems in nonlinear three-dimensional elasticity
• A mixed formulation for frictional contact problems prone to Newton like solution methods
• Solution of frictional contact problems using ILU and coarse/fine preconditioners
• Newton's Method for B-Differentiable Equations
• Computational complexity of LCPs associated with positive definite symmetric matrices
• Critères d’injectivité et de surjectivité pour certaines applications de $\mathbb {R}^n$ dans lui-même ; application à la mécanique du contact
• Consistent tangent matrices of curved contact operators involving anisotropic friction
• An Algorithm for Solving Nonlinear Resistor Networks
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