New Transforms for the Resolving Equations in Elastic Theory and New Integral Transforms, with Applications to Boundary-Value Problems of Mechanics |
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| Authors: | G. Ya. Popov |
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| Affiliation: | (1) I. I. Mechnikov National University, Odessa, Ukraine |
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| Abstract: | This paper reviews results from an analysis of exact boundary-value solutions of static and dynamic elasticity obtained by the method of integral transforms. Consideration is given to the solutions of problems for a half-space and a blunted hollow cone, the heat conduction problem for a cone, and the diffraction problem for a cone with a hole along the generatrix. Solutions of mechanics problems are analyzed and the method of integral transforms is generalized |
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| Keywords: | theory of elasticity statics and dynamics boundary-value problems integral transforms generalization modification, exact solution |
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