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On the fundamental solutions of the operators of S. Timoshenko and R. D. Mindlin

โœ Scribed by Norbert Ortner; Peter Wagner


Publisher
John Wiley and Sons
Year
1992
Tongue
English
Weight
396 KB
Volume
15
Category
Article
ISSN
0170-4214

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โœฆ Synopsis


Abstract

Our recent paper about some new fundamental solutions is complemented by a representation of the fundamental solution of certain evolution operators of fourth order in terms of a family of fundamental solutions of operators of second order. By applying this to the operators of vibrating beams and plates we deduce representations of their fundamental solutions as simple definite integrals over tabulated functions.


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โœ Ulrich Heise ๐Ÿ“‚ Article ๐Ÿ“… 1994 ๐Ÿ› Springer Netherlands ๐ŸŒ English โš– 820 KB

Fundamental solutions of the differential operators for the potential problem and the elastostatic problem are established. They are not defined on the ordinary three-dimensional space as the classical I/R solution and Kelvin's solution but on Riemann spaces with circular branch lines and a finite a