Transformation Properties of the Lagrangian and Eulerian Strain Tensors

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dc.creatorBahder, Thomas B.
dc.date2002-11-01
dc.date.accessioned2026-07-07T05:48:21Z
dc.date.available2026-07-07T05:48:21Z
dc.descriptionA coordinate independent derivation of the Eulerian and Lagrangian strain tensors of finite deformation theory is given based on the parallel propagator, the world function, and the displacement vector field as a three-point tensor. The derivation explicitly shows that the Eulerian and Lagrangian strain tensors are two-point tensors, each a function of both the spatial and material coordinates. The Eulerian strain is a two-point tensor that transforms as a second rank tensor under transformation of spatial coordinates and transforms as a scalar under transformation of the material coordinates. The Lagrangian strain is a two-point tensor that transforms as scalar under transformation of spatial coordinates and transforms as a second rank tensor under transformation of the material coordinates. These transformation properties are needed when transforming the strain tensors from one frame of reference to another moving frame.
dc.description35 pages double-space, 3 figures
dc.identifierhttps://arxiv.org/abs/physics/0211003
dc.identifierhttp://arxiv.org/abs/physics/0211003
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/84994
dc.subjectClassical Physics
dc.subjectGeneral Physics
dc.titleTransformation Properties of the Lagrangian and Eulerian Strain Tensors
dc.typetext

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