On infinitesimal deformation measures

DOI10.1007/BF00132214zbMath0781.73013OpenAlexW2058828353MaRDI QIDQ1202509

James Casey

Publication date: 23 February 1993

Published in: Journal of Elasticity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00132214

zbMATH Keywords

Fréchet differentialsmall strain approximationLagrangian strain tensorEulerian strain tensorfinite rotation tensorleft stretch tensorright stretch tensor

Mathematics Subject Classification ID

Plastic materials, materials of stress-rate and internal-variable type (74C99) Elastic materials (74B99) Generalities, axiomatics, foundations of continuum mechanics of solids (74A99) Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials) (74D99)

Related Items (3)

On the range of applicability of linearized elasticity ⋮ Fréchet differentiation of the stretch and rotation tensors ⋮ A continuum model for circular graphene membranes under uniform lateral pressure

Cites Work

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• Note on the applications of the Fréchet derivative
• On the derivatives of the stretch and rotation with respect to the deformation gradient
• On the derivative of the square root of a tensor and Guo's rate theorems
• Connections between kinematics of line, area, and volume elements
• An invariant infinitesimal theory of motions superposed on a given motion
• The differential: Nineteenth and twentieth century developments
• An introduction to continuum mechanics
• Some Remarks on Variations and Differentials

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