Physically nonlinear and related approximate theories of elasticity, and their invariance properties

DOI10.1007/BF00250682zbMath0574.73012OpenAlexW1973679625MaRDI QIDQ1063439

P. M. Naghdi, James Casey

Publication date: 1985

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00250682

zbMATH Keywords

small-straininvariance requirementsapproximate theories of elasticityauxiliary motionschange of pivotmoderate-rotation theorymoderate-strain theoryphysically nonlinear elasticitysecond order theorysmall-rotationStress-strain relationstransformation of fields

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Anisotropy in solid mechanics (74E10) Theory of constitutive functions in solid mechanics (74A20)

Related Items (8)

A properly invariant theory of small deformations superposed on large deformations of an elastic rod ⋮ A properly invariant theory of infinitesimal deformations of an elastic Cosserat point ⋮ A generalized formulation of elastodynamics: small on rigid ⋮ Nonlinear vibration of viscoelastic sandwich plates under narrow-band random excitations ⋮ On a class of Gibbs potential-based nonlinear elastic models with small strains ⋮ On the Kinematics of Deformations with Small Strain and Moderate Rotation ⋮ The use of displacement potentials in second order elasticity ⋮ Small strain and moderate rotation

Cites Work

• Small deformations superposed on large deformations of an elastic-plastic material
• An invariant infinitesimal theory of motions superposed on a given motion
• On physically nonlinear elasticity
• Small strain accompanied by moderate rotation
• Some remarks on elastic-plastic deformation at finite strain
• A Remark on the Use of the Decomposition F = FeFp in Plasticity
• On the use of invariance requirements for intermediate configurations associated with the polar decomposition of a deformation gradient

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