Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



Nearly isochoric elastic deformations: volume changes in plane strain

Author: R. W. Ogden
Journal: Quart. Appl. Math. 36 (1979), 337-345
MSC: Primary 73G10
DOI: https://doi.org/10.1090/qam/520119
MathSciNet review: 520119
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Abstract: Plane deformations of nearly incompressible elastic solids are examined with a view to calculating the volume changes accompanying an arbitrary (plane) deformation. The dilatation is shown to be determined from a knowledge of the deformation appropriate to the corresponding incompressible material under the same boundary conditions. This work parallels that given in a previous paper for three-dimensional deformations and relies on the decomposition of the deformation gradient into its dilatational and isochoric parts.

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DOI: https://doi.org/10.1090/qam/520119
Article copyright: © Copyright 1979 American Mathematical Society

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