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.
Read more about Finite Strain Theory: Displacement, Deformation Gradient Tensor, Transformation of A Surface and Volume Element, Polar Decomposition of The Deformation Gradient Tensor, Deformation Tensors, Finite Strain Tensors, Stretch Ratio, Physical Interpretation of The Finite Strain Tensor, Deformation Tensors in Curvilinear Coordinates, Compatibility Conditions
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