Journal
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
Volume 49, Issue 7, Pages 806-818Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ijmecsci.2006.11.012
Keywords
laminated piezoelectric plates; state equation; boundary functions; analytical solution
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Based on the theories of 3-D elasticity and piezoelectricity and by assuming appropriate boundary functions, the state equation for laminated piezoelectric plate is established. By using the transfer matrix and recursive solution approach, an analytical solution that satisfies all boundary conditions, including the conditions on the top and bottom surfaces, of the laminates is presented. The solution can take into account all the independent elastic and piezoelectric constants for orthotropic and piezoelectric materials and satisfies the continuity conditions between plies of the laminates. Numerical examples are given at the end of the paper to verify the effectiveness of the present method. The results are compared with those of existing analytical and finite element models. (c) 2006 Elsevier Ltd. All rights reserved.
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