On the formulation of variational theorems involving volume constraints

DOI10.1007/BF01047050zbMath0717.73099OpenAlexW4237188461MaRDI QIDQ2638866

Eric Reissner, Satya N. Atluri

Publication date: 1989

Published in: Computational Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01047050

zbMATH Keywords

pressuredisplacementsincompressiblegeometrically nonlinearthree-fieldHu-Washizu theoremGreen-Lagrange strainsderivatoric stressesdisplacement gradient componentsdistortional strainsfive-fieldfour-field theoremgeneralized Piola stressesgeometrically linear elasticityKirhhoff- Trefftz stressesnearby incompressible materialsseven-field forms

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Optimization of other properties in solid mechanics (74P10)

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Cites Work

• Variational and projection methods for the volume constraint in finite deformation elasto-plasticity
• On mixed variational formulations in finite elasticity
• On a Variational Principle for Elastic Displacements and Pressure