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Finite strain theory
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Finite strain theory : ウィキペディア英語版
Finite strain theory

In continuum mechanics, the finite strain theory—also called large strain theory, or large deformation theory—deals with deformations in which both rotations and strains are arbitrarily large, i.e. invalidates the assumptions inherent in infinitesimal strain theory. In this case, the undeformed and deformed configurations of the continuum are significantly different and a clear distinction has to be made between them. This is commonly the case with elastomers, plastically-deforming materials and other fluids and biological soft tissue.
==Displacement==

The displacement of a body has two components: a rigid-body displacement and a deformation.
* A rigid-body displacement consists of a simultaneous translation and rotation of the body without changing its shape or size.
* Deformation implies the change in shape and/or size of the body from an initial or undeformed configuration \kappa_0(\mathcal B)\,\! to a current or deformed configuration \kappa_t(\mathcal B)\,\! (Figure 1).
A change in the configuration of a continuum body can be described by a displacement field. A ''displacement field'' is a vector field of all displacement vectors for all particles in the body, which relates the deformed configuration with the undeformed configuration. Relative displacement between particles occurs if and only if deformation has occurred. If displacement occurs without deformation, then it is deemed a rigid-body displacement.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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