On nonlinear Beltrami-Mitchell equations

DOI10.1016/0020-7462(83)90012-4zbMath0517.73014OpenAlexW2085046310MaRDI QIDQ1053485

J. Blot

Publication date: 1983

Published in: International Journal of Non-Linear Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7462(83)90012-4

zbMATH Keywords

strain energy densityexamplesaxiom of objectivityBeltrami-Mitchell equationscomplementary strain energy density existfirst Piola-Kirchhoff stress and deformation gradient tensors as field variableslinear equilibrium and compatibility equationsnonlinear differential equations in terms of first Piola-Kirchhoff stress tensorsemi-linear isotropic elastic materials

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Linear elasticity with initial stresses (74B10)

Related Items (1)

Indeterminacy of first order stress functions and the stress- and rotation-based formulation of linear elasticity

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