Biharmonic potential theory and its applications
Bhattacharyya, P. (1975). Biharmonic potential theory and its applications. (Unpublished Doctoral thesis, The City University)
Abstract
Biharmonic functions can be represented in terms of harmonic or biharmonic potentials. These potentials can be generated by hypothetical continuous source densities distributed over suitable surfaces. Accordingly the boundary value problems of two-dimensional elastostatics can be formulated as integral equations to determine these sources. This thesis extends the analysis to cover multiply-connected and infinite exterior domains. A new theory of two-dimensional Volterra dislocations and two-dimensional point-forces have been formulated.
| Publication Type: | Thesis (Doctoral) |
|---|---|
| Subjects: | Q Science > QA Mathematics |
| Departments: | School of Science & Technology > Department of Mathematics School of Science & Technology > School of Science & Technology Doctoral Theses Doctoral Theses |
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