Elastic fields for point and partial line loading in transversely isotropic linear elasticity

Authors
Citation
Mt. Hanson, Elastic fields for point and partial line loading in transversely isotropic linear elasticity, J ELAST, 55(2), 1999, pp. 143-162
Citations number
17
Categorie Soggetti
Mechanical Engineering
Journal title
JOURNAL OF ELASTICITY
ISSN journal
03743535 → ACNP
Volume
55
Issue
2
Year of publication
1999
Pages
143 - 162
Database
ISI
SICI code
0374-3535(1999)55:2<143:EFFPAP>2.0.ZU;2-6
Abstract
In this paper some fundamental concentrated loading solutions are derived f or a transversely isotropic full space. As a starting point the potential f unction representation for the elastic field is re-examined in light of a r ecent result derived by the author. It is shown that expressions for two of the stress components need to be modified from what is given in some of th e existing literature. The use of these new expressions is first demonstrat ed by considering two point loading cases. Subsequent analysis integrates t hese two point force solutions over finite line segments to obtain solution s for various cases of partial line loading. The ramifications of the two m odified stress equations on the partial line loading solutions are also dis cussed.