A SINGULAR PROBLEM IN INCOMPRESSIBLE NONLINEAR ELASTOSTATICS

DOI10.1142/S0218202500000586zbMath1023.74008OpenAlexW2032809047MaRDI QIDQ2764897

Roger L. Fosdick, Adair Roberto Aguiar

Publication date: 2 April 2002

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218202500000586

zbMATH Keywords

finite element methodpenalizationcorner singularityCauchy stress tensorrectangular cross-sectionincompressible nonlinear elasticitycompressed bonded blockdistribution of principal stresses

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Finite element methods applied to problems in solid mechanics (74S05)

Cites Work

• Compatibility condition and existence results in discrete finite incompressible elasticity
• A class of asymmetric simplicial finite element methods for solving finite incompressible elasticity problems
• Mixed finite element methods - reduced and selective integration techniques: a unification of concepts
• An arbitrary Lagrangian-Eulerian finite element method for incompressible hyperelasticity
• On Ericksen's problem for plane deformations with uniform transverse stretch
• Path following near bifurcation
• Consistent finite element procedures for nonlinear rubber elasticity with a higher order strain energy function
• A Modified Penalty Method for Stokes Equations and Its Applications to Navier–Stokes Equations
• Numerical Stability and Efficiency of Penalty Algorithms

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