Uniformly Moving Elastic Singularities in the Classical Theory of Elasticity
Abdullah, S. A. (1984). Uniformly Moving Elastic Singularities in the Classical Theory of Elasticity. (Unpublished Doctoral thesis, The City University)
Abstract
The linear, isotropic, elastodynamic displacement field may be broken down into two distinctive components by means of a Helmholtz resolution. Each component satisfies a characteristic equation which becomes a biharmonic equation in the static limit. This analysis opens the way towards quickly constructing the fields of uniformly moving singularities from those of the corresponding static singularities. Many known solutions are recovered and some new ones are discovered. Only problems of the full-space are considered.
| Publication Type: | Thesis (Doctoral) |
|---|---|
| Subjects: | Q Science > QA Mathematics |
| Departments: | School of Science & Technology > Mathematics School of Science & Technology > School of Science & Technology Doctoral Theses Doctoral Theses |
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