@article{scholars4092, publisher = {Korean Society of Mechanical Engineers}, journal = {Journal of Mechanical Science and Technology}, pages = {4877--4891}, year = {2014}, title = {Dynamic analysis of laminated composite thermo-magneto-electro-elastic shells}, volume = {28}, note = {cited By 16}, number = {12}, doi = {10.1007/s12206-014-0801-3}, issn = {1738494X}, author = {Albarody, T. M. B. and Al-Kayiem, H. H.}, keywords = {Boundary conditions; Free energy; Gibbs free energy; Laminating; Shear deformation; Shells (structures), Laminated shell; Linear analysis; Magneto electro elastic; Smart composites; Structronic shell, Laminated composites}, url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-84920705165&doi=10.1007\%2fs12206-014-0801-3&partnerID=40&md5=3b08219cc8e2d410b0391a396d5c0648}, abstract = {Modeling of piezo-laminated shell structure and/or shell embedded smart lamina influenced by thermo-magneto-electro-elastic load presents a challenge to be formulated and solved. We derived an analytical model based on the first-order transversally shear deformation theory with involvement of Codazzi-Gauss geometrical discretion. The present invented model and the desired boundary conditions were rigorouslyderived using Hamilton{\^a}??s principle with cooperationof Gibbs free energy functions. The model was castin theversion of a general laminated composite shell of revolution, in order to be simplified to account for most occurring shell geometries, and intended for wide range of smart materials. To ensure a conventional effective medium model, a rectangular plane shell of zero and large curvatures wasselected for analysis to justify the model. Hence, the generic forced-solution procedures for the response were derived, and its natural frequencies were evaluated in a simply supported boundary condition. Investigatedexamples areaccompanied and noteworthy conclusions drawn which highlight the issues of the implementation of the exact solution, implication of the effects of the material properties, lay-ups of the constituent layers, and shell parameters on the free vibrational behavior. {\^A}{\copyright} 2014, The Korean Society of Mechanical Engineers and Springer-Verlag Berlin Heidelberg.} }