A Novel Analytical Approach for Nonlinear Thermo-Mechanical Buckling of Higher-Order Shear Deformable Porous Circular Plates and Spherical Caps with FGM Face Sheets

International Journal of Applied Mechanics - Tập 15 Số 05 - 2023
Ngoc Ly Le1, Thi Ngoc Thu Duong1, Thuy Dong Dang2,3, Vu Minh Duc4, Tien Tu Bui1,4, Nguyen Thi Phuong2,3, Vũ Hoài Nam5
1Faculty of Fundamental Science for Engineering, University of Transport Technology, Hanoi, 100000, Vietnam
2Computational Laboratory for Advanced Materials and Structures, Advanced Institute of Materials Science, Ton Duc Thang University, Ho Chi Minh City 700000, Vietnam
3Faculty of Civil Engineering, Ton Duc Thang University, Ho Chi Minh City 700000, Vietnam
4Institute of Transport Technology, University of Transport Technology, Hanoi, 100000, Vietnam
5Faculty of Civil Engineering, University of Transport Technology, Hanoi, 100000, Vietnam

Tóm tắt

A novel analytical approach for nonlinear thermo-mechanical buckling of higher-order shear deformable porous circular plates and spherical caps with functionally graded material (FGM) face sheets resting on Pasternak elastic foundation is presented in this paper. The circular plates and spherical caps are assumed to be subjected to uniformly distributed external pressure and/or uniformly distributed thermal loads, and the nonlinear higher-order shear deformation theory (HSDT) is used for largely thick plates and caps with the shell-foundation interaction modeled by Pasternak elastic foundation. The caps are assumed to be shallow with clamped boundary conditions. The total potential energy expression of structures is established and the Ritz energy method is used to solve the problem directly from the total potential energy expression. The expressions between external pressure–deflection, thermal load–deflection, and thermo-mechanical combined load–defection can be obtained using the iterative algorithms. The critical buckling loads and postbuckling behavior of plates/caps are investigated numerically. Significant effects of foundation, porosity, structure parameters on the nonlinear thermo-mechanical responses of circular plates and spherical caps are numerically investigated and discussed, and the complex tendencies of postbuckling strength of plates and caps are obtained.

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International Journal of Applied Mechanics

Tập 15 Số 05

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