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Force mobility of an elastic stratum over a rigid base: Part II. Exact solution
Umea universitet, Department of Applied Physics and Electronics, Sweden .
2006 (English)In: Acta Acoustica united with Acustica, ISSN 1610-1928, E-ISSN 1861-9959, Vol. 92, no 3, 390-397 p.Article in journal (Refereed) Published
Abstract [en]

The second part of this paper deals with the exact solution for the force mobility of an infinite elastic stratum with respect to a vertical force. The stratum rests on a rigid and frictionless foundation. The upper surface of the stratum is excited by a circular weightless indenter with a prescribed velocity; otherwise this surface is stress-free. The mixed boundary conditions result in dual integral equations, which are solved using analytical and numerical techniques. An exact analytical solution for the force mobility of the stratum is determined by using the method of resolvent kernel together with the residue theorem. The results are validated by comparisons with the results from a numerical solution using the quadrature method. It is shown that the results from an approximate solution as presented in the first part, where the prescribed velocity is exchanged for a presumed stress distribution, agrees well with the present results for low frequencies up to approximately the first thickness resonance, but not for higher frequencies.

Place, publisher, year, edition, pages
2006. Vol. 92, no 3, 390-397 p.
National Category
Applied Mechanics
URN: urn:nbn:se:kth:diva-152149ISI: 000238264600006ScopusID: 2-s2.0-33745416005OAI: diva2:749225

QC 20140923

Available from: 2014-09-23 Created: 2014-09-23 Last updated: 2014-09-23Bibliographically approved

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Hassan, Osama
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