Journal
MECHANICS RESEARCH COMMUNICATIONS
Volume 29, Issue 5, Pages 327-338Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/S0093-6413(02)00316-6
Keywords
elastic waves; functionally graded material; quadratic layer element; modified Bessel functions; numerical methods
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A computational method is presented to investigate SH waves in functionally graded material (FGM) plates. The FGM plate is first divided into quadratic layer elements (QLEs), in which the material properties are assumed as a quadratic function in the thickness direction. A general solution for the equation of motion governing the QLE has been derived. The general solution is then used together with the boundary and continuity conditions to obtain the displacement and stress in the wave number domain for an arbitrary FGM plate. The displacements and stresses in the frequency domain and time domain are obtained using inverse Fourier integration. Furthermore, a simple integral technique is also proposed for evaluating modified Bessel functions with complex valued order. Numerical examples are presented to demonstrate this numerical technique for SH waves propagating in FGM plates. (C) 2002 Elsevier Science Ltd. All rights reserved.
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