Nonlinear buckling and post-buckling analysis of imperfect porous plates under mechanical loads

Abstract

The nonlinear buckling and post-buckling response of imperfect porous plates is investigated analytically in this paper. The porous materials with elastic moduli are assumed to vary through the thickness of the plate according to two different distribution types. Governing equations are derived based on the classical shell theory taking into account Von Karman nonlinearity and initial geometrical imperfection. Explicit relations of load–deflection curves for rectangular porous plates are determined by applying stress function and Galerkin’s method. The accuracy of present theoretical formulation is verified by comparing it with available results in the literature. The effects of varying porosity distribution, porosity coefficient, boundary condition and imperfection on post-buckling behavior of the porous plate are studied in detail. A parametric study is carried out to investigate the effects of varying porosity distribution, porosity coefficient, boundary condition and imperfection on post-buckling behavior of the porous plate. The results show that the critical buckling loads decrease with increasing porosity coefficient and the post-buckling curves for nonlinear symmetric porosity distribution are always higher than those for nonlinear non-symmetric porosity.

Phân tích phi tuyến ứng xử uốn của tấm bằng vật liệu FGM xốp đặt trên nền đàn hồi Pasternak với các điều kiện biên khác nhau có xét đến vị trí thực của mặt trung hòa

“…Tu và cs. [8] phân tích ổn định và sau ổn định của tấm rỗng không hoàn hảo dựa trên lý thuyết tấm cổ điển.…”

Phân tích tĩnh tấm bằng vật liệu fgm xốp trên nền đàn hồi Pasternak theo phương pháp chuyển vị có kể đến tính phi tuyến hình học và vị trí mặt trung hòa

“…Tu và cs. [24] nghiên cứu ổn định và sau ổn định của tấm FG xốp không hoàn hảo dưới tác dụng của tải trọng cơ học. Cong và cs.…”

Three-Dimensional Buckling Analysis of Functionally Graded Saturated Porous Rectangular Plates under Combined Loading Conditions

“…Further recent contributions on the buckling and free vibration response of perfect and porous FG plates applied first-order shear deformation theory (FSDT) combined with the Chebyshev Polynomials-Ritz method [12][13][14][15], even for graphene-reinforced nanocomposites. Tu et al [16], instead, proposed a Galerkin-based solution for the nonlinear buckling and post-buckling study of imperfect porous plates subjected to different mechanical loads while applying classical shell theory-Von Karman nonlinearity. In addition, Sekkal et al [17] focused on a novel quasi-3D HSDT to assess the buckling and vibration response of FG plates, whose solution was determined analytically.…”