Small strain accompanied by moderate rotation

DOI10.1007/BF00251489zbMath0506.73004MaRDI QIDQ1837013

P. M. Naghdi, L. Vongsarnpigoon

Publication date: 1982

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

zbMATH Keywords

infinitesimal strainmaterial behaviormoderate rotationprecise estimatesarbitrary superposed rigid body motionsinvariance of constitutive equationslocal moderate rotationparticular reference to elastic materialrelated kinematical resultsthree-dimensional general continuum mechanics

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Theory of constitutive functions in solid mechanics (74A20) Generalities, axiomatics, foundations of continuum mechanics of solids (74A99)

Related Items (10)

A properly invariant theory of small deformations superposed on large deformations of an elastic rod ⋮ A consideration of curved interfaces in stress-assisted martensite formation ⋮ A generalized formulation of elastodynamics: small on rigid ⋮ E. Frola (1906-1962): An attempt towards an axiomatic theory of elasticity ⋮ On the Kinematics of Deformations with Small Strain and Moderate Rotation ⋮ On Volterra Dislocations of Finitely Deforming Continua ⋮ Small strain and moderate rotation ⋮ Physically nonlinear and related approximate theories of elasticity, and their invariance properties ⋮ A theory of shells with small strain accompanied by moderate rotation ⋮ Chaotic dynamics of an elastic beam resting on a Winkler-type soil.

Cites Work

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• An invariant infinitesimal theory of motions superposed on a given motion
• A note on invariance under superposed rigid body motions
• Rotation and strain
• The Rotation Associated with Large Strains

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