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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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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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Authors and Affiliations

  1. I. I. Mechnikov National University, Odessa, Ukraine

    G. Ya. Popov

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  1. G. Ya. Popov
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Popov, G.Y. New Transforms for the Resolving Equations in Elastic Theory and New Integral Transforms, with Applications to Boundary-Value Problems of Mechanics. International Applied Mechanics 39, 1400–1424 (2003). https://doi.org/10.1023/B:INAM.0000020824.87396.ea

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  • DOI: https://doi.org/10.1023/B:INAM.0000020824.87396.ea

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