Transversely isotropic half-spaces subject to surface pressures
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- 作者：Francesco Marmo ; f.marmo@unina.it ; Ferdinando Toraldo ; Luciano Rosati
- 关键词：Transversely isotropic ; Analytical solution ; Half-space
- 刊名：International Journal of Solids and Structures
- 出版年：2017
- 出版时间：1 January 2017
- 年：2017
- 卷：104-105
- 期：Complete
- 页码：35-49
- 全文大小：1732 K
- 卷排序：104
文摘
We outline a general methodology for proving the equivalence between several solutions available in the literature for the elastic problem of transversely isotropic materials. The proposed methodology is mathematically supported by a novel solution strategy yet arriving at the same expression of the displacement field contributed by Ding et al. (2006).We further show how to address the case of transversely isotropic half-spaces subject to linearly distributed vertical pressures applied over arbitrary regions of the half-space boundary. In the significant case of polygonal regions, displacements and stresses at arbitrary points of the half-space are evaluated analytically and the relevant singularities are properly accounted for.The proposed approach has been numerically validated by first solving a basic indentation problem for which an analytical expression of the displacements on the half-space surface is available. Furthermore, the displacement and stress fields induced in a half-space by a polygonal indenter of arbitrary shape subject to a prescribed vertical displacement is illustrated by means of representative contour plots.