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Dynamic and static impedances of cross-anisotropic halfspaces

โœ Scribed by Eduardo Kausel; Sandra H. Seale

Publisher
Elsevier Science
Year
1990
Tongue
English
Weight
514 KB
Volume
9
Category
Article
ISSN
0267-7261

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โœฆ Synopsis

An efficient method for the numerical analysis of layered media subjected to dynamic loads is the Stiffness Matrix Method proposed by Kausel and Roesset, 5 a procedure which is closely related to earlier contributions by Biot? In order to apply this method to the analysis of layered media overlying an infinite viscoelastic cross-anisotropic halfspace, it is necessary to have detailed expressions for the dynamic stiffnesses of such a halfspace (as seen from its surface). Since these functions are not readily available, they are developed in this paper by superposition of plane waves in all directions.

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w \*x #D \*w \*x #2D \*w \*x \*x , (1) M "! D \*w \*x #D \*w \*x #2D \*w \*x \*x , (2) H "! D \*w \*x #D \*w \*x #2D \*w \*x \*x , where w"w(x , x ) denotes the de#ection of the mid-surface of the plate and D IJ the rigidities of the anisotropic plate. The energy functional for the plate deformed b