eprintid: 3076 rev_number: 10 eprint_status: archive userid: 354 dir: disk0/00/00/30/76 datestamp: 2018-10-09 09:00:01 lastmod: 2018-10-09 09:00:01 status_changed: 2018-10-09 09:00:01 type: article metadata_visibility: show creators_name: Nguyen, Dinh Duc creators_name: Vu, Dinh Quang creators_name: Pham, Dinh Nguyen creators_name: Trinh, Minh Chien creators_id: ducnd@vnu.edu.vn creators_id: quangvd2510@gmail.com title: Nonlinear Dynamic Response of Functionally Graded Porous Plates on Elastic Foundation Subjected to Thermal and Mechanical Loads ispublished: pub subjects: Scopus divisions: fac_fema abstract: In this paper, the first-order shear deformation theory is used to derive theoretical formulations illustrating the nonlinear dynamic response of functionally graded porous plates under thermal and mechanical loadings supported by Pasternak’s model of the elastic foundation. Two types of porosity including evenly distributed porosities (Porosity-I) and unevenly distributed porosities (Porosity-II) are assumed as effective properties of FGM plates such as Young’s modulus, the coefficient of thermal expansion, and density. The strain-displacement formulations using Von Karman geometrical nonlinearity and general Hooke’s law are used to obtain constitutive relations. Airy stress functions with full motion equations which is employed to shorten the number of governing equations along with the boundary and initial conditions lead to a system of differential equations of the nonlinear dynamic response of porous FGM plates. Considering linear parts of these equations, natural frequencies of porous FGM plates are determined. By employing Runge-Kutta method, the numerical results illustrate the influence of geometrical configurations, volume faction index, porosity, elastic foundations, and mechanical as well as thermal loads on the nonlinear dynamic response of the plates. Good agreements are obtained in comparison with other results in the literature. date: 2018 date_type: published publisher: Shahid Chamran University of Ahvaz, Iran official_url: http://jacm.scu.ac.ir/article_13360.html full_text_status: public publication: Journal of Applied and Computational Mechanics volume: 4 number: 4 pagerange: 245-259 refereed: TRUE issn: 2383-4536 citation: Nguyen, Dinh Duc and Vu, Dinh Quang and Pham, Dinh Nguyen and Trinh, Minh Chien (2018) Nonlinear Dynamic Response of Functionally Graded Porous Plates on Elastic Foundation Subjected to Thermal and Mechanical Loads. Journal of Applied and Computational Mechanics, 4 (4). pp. 245-259. ISSN 2383-4536 document_url: https://eprints.uet.vnu.edu.vn/eprints/id/eprint/3076/1/JACM_Volume%204_Issue%204_Pages%20245-259.pdf