Asymptotic numerical methods for unilateral contact

DOI10.1002/nme.1714zbMath1128.74040OpenAlexW2029195203MaRDI QIDQ5435350

Wassila Aggoune, Michel Potier-Ferry, Hamid Zahrouni

Publication date: 14 January 2008

Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nme.1714

zbMATH Keywords

Lagrange multipliersregularizationprediction-correction algorithms

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Contact in solid mechanics (74M15) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10) Finite element methods applied to problems in solid mechanics (74S05)

Related Items (9)

Method of fundamental solutions and high order algorithm to solve nonlinear elastic problems ⋮ Automatic solver for non-linear partial differential equations with implicit local laws: Application to unilateral contact ⋮ Perturbation technique and method of fundamental solution to solve nonlinear Poisson problems ⋮ Solving hyperelastic material problems by asymptotic numerical method ⋮ A multilevel computational strategy for handling microscopic and macroscopic instabilities ⋮ Discussion about parameterization in the asymptotic numerical method: application to nonlinear elastic shells ⋮ Bifurcation indicator based on meshless and asymptotic numerical methods for nonlinear poisson problems ⋮ Simulation of instabilities in thin nanostructures by a perturbation approach ⋮ High order continuation algorithm and meshless procedures to solve nonlinear Poisson problems

Cites Work

• A path-following technique via an asymptotic-numerical method

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