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Exact solutions for stress analysis of transversely isotropic elastic layers
Abstract
The general equations for the elastic analysis of transversely isotropic materials are written in a form which allows all orders of derivatives to be calculated. The displacements and stresses are taken in terms of Taylor series in a form suitable for deriving exact solutions for thick elastic layers with stress-free surfaces. This extends the work of Rao and Das for isotropic materials to the transversely isotropic case. The problems of a transversely isotropic layer under (a) anti-symmetric transverse loading (bending) and (b) symmetric transverse loading (extension) are studied. Representations of exact solutions are obtained and separated into three cases and corresponding to solutions of each set of equations, the displacements and stresses are expressed. A new result for the torsion problem of a rectangular transversely isotropic plate is presented as an application of the results. Stress concentration factors in thick layers due to a circular hole for the cases of pure bending and uniform extension are found.
Subject Area
Civil engineering
Recommended Citation
Sun, Wei-Jong, "Exact solutions for stress analysis of transversely isotropic elastic layers" (1991). Doctoral Dissertations Available from Proquest. AAI9207463.
https://scholarworks.umass.edu/dissertations/AAI9207463