The analysis of incompressible hyperelastic bodies by the finite element method

DOI10.1016/0045-7825(83)90055-5zbMath0522.73059OpenAlexW2040104772MaRDI QIDQ1056269

Gino Duffett, Reddy, B. Daya

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1016/0045-7825(83)90055-5

zbMATH Keywords

additional set of equations appended to equilibrium equationscompared with closed-form solutions or with numerical solutions found using conventional approachesconstitutive relation based on class of strain-energy functions due to Ogdenexpress condition of incompressibility in average mannerincompressible hyperelastic bodiesincremental equilibrium equationsrate form of principle of virtual work

Mathematics Subject Classification ID

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

Related Items

Entropic thermoelasticity at finite strains. Aspects of the formulation and numerical implementation, Discretization Methods for Solids Undergoing Finite Deformations, Finite element formulation of the Ogden material model with application to rubber-like shells, Quasi-incompressible finite elasticity in principal stretches. Continuum basis and numerical algorithms, Robust numerical analysis of homogeneous and non-homogeneous deformations, Superimposed finite elastic-viscoelastic-plastoelastic stress response with damage in filled rubbery polymers. Experiments, modelling and algorithmic implementation, The solution of multi-parameter systems of equations with application to problems in nonlinear elasticity

Cites Work

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• An introduction to continuum mechanics
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• A theorem of tensor calculus and its application to isotropic elasticity
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• Finite element methods for constrained problems in elasticity
• Large deformation isotropic elasticity – on the correlation of theory and experiment for incompressible rubberlike solids
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