Smoothing Newton method for solving two- and three-dimensional frictional contact problems

DOI<link itemprop=identifier href="https://doi.org/10.1002/(SICI)1097-0207(19980330)41:6<1001::AID-NME319>3.0.CO;2-A" /><1001::AID-NME319>3.0.CO;2-A 10.1002/(SICI)1097-0207(19980330)41:6<1001::AID-NME319>3.0.CO;2-AzbMath0905.73079OpenAlexW2078176271MaRDI QIDQ3841354

Andrew Y. T. Leung, Wanji Chen, Guo-Qing Chen

Publication date: 9 November 1998

Full work available at URL: https://doi.org/10.1002/(sici)1097-0207(19980330)41:6<1001::aid-nme319>3.0.co;2-a

zbMATH Keywords

global convergenceCoulomb friction lawlinear approximationsvariational inequality theorycontinuously differentiable approximation functionlocal quadratic convergent ratesystem of non-differentiable equations

Mathematics Subject Classification ID

Related Items (11)

Solving frictional contact problems by two aggregate-function-based algorithms ⋮ Uzawa block relaxation method for the unilateral contact problem ⋮ New second-order cone linear complementarity formulation and semi-smooth Newton algorithm for finite element analysis of 3D frictional contact problem ⋮ A non-interior implicit smoothing approach to complementarity problems for frictionless contacts ⋮ Generalized Newton methods for the 2D-Signorini contact problem with friction in function space ⋮ New simple smooth merit function for box constrained variational inequalities and damped Newton type method ⋮ A new modified one-step smoothing Newton method for solving the general mixed complementarity problem ⋮ Two aggregate-function-based algorithms for analysis of 3D frictional contact by linear complementarity problem formulation ⋮ A formulation of the linear discrete Coulomb friction problem via convex optimization ⋮ Non-smooth nonlinear equation methods for solving 3D elastoplastic frictional contact problems ⋮ An innovative and efficient solution for axisymmetric contact problem between structure and half-space

Cites Work

• NE/SQP: A robust algorithm for the nonlinear complementarity problem
• A mathematical programming approach to three-dimensional contact problems with friction
• A mixed formulation for frictional contact problems prone to Newton like solution methods
• Newton's method for the nonlinear complementarity problem: a B- differentiable equation approach
• Newton's Method for B-Differentiable Equations
• An iterative procedure for finite-element stress analysis of frictional contact problems
• A solution method for planar and axisymmetric contact problems
• Nonlocal and Nonlinear Friction Laws and Variational Principles for Contact Problems in Elasticity
• A complementarity problem formulation for two-dimensional frictional contact problems
• A finite element method for elasto-plastic structures and contact problems by parametric quadratic programming
• A mathematical programming approach to contact problems with friction and varying contact surface
• A boundary element and mathematical programming approach for frictional contact problems
• Complementarity Problem Formulation of Three-Dimensional Frictional Contact
• A computational method for frictional contact problem using finite element method
• Three-Dimensional Frictional Contact Analysis Using the Homotopy Method
• On the basic theorem of complementarity

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