Asymptotic numerical method for problems coupling several nonlinearities.

DOI10.1016/S0045-7825(02)00497-8zbMath1083.74529MaRDI QIDQ1871028

H. Abichou, Hamid Zahrouni, Michel Potier-Ferry

Publication date: 6 May 2003

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

zbMATH Keywords

unilateral contact problemshell finite elementcircular sheet

Mathematics Subject Classification ID

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) Shells (74K25)

Related Items (10)

Asymptotic post-buckling FEM analysis using corotational formulation ⋮ A model reduction method for the post-buckling analysis of cellular microstructures ⋮ Model order reduction for hyperelastic materials ⋮ Automatic solver for non-linear partial differential equations with implicit local laws: Application to unilateral contact ⋮ Model order reduction in hyperelasticity: a proper generalized decomposition approach ⋮ Perturbation technique and method of fundamental solution to solve nonlinear Poisson problems ⋮ Solving hyperelastic material problems by asymptotic numerical method ⋮ A generic approach for the solution of nonlinear residual equations. I: The Diamant toolbox ⋮ Simulation of instabilities in thin nanostructures by a perturbation approach ⋮ High order continuation algorithm and meshless procedures to solve nonlinear Poisson problems

Uses Software

• ABAQUS

Cites Work

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