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Volume 17, Issue 5
Postbuckling Analysis of Shear Deformable FGM Cylindrical Shells with Porosities Subjected to Combined Mechanical Loads in Thermal Environments

Vu Thanh Long & Hoang Van Tung

Adv. Appl. Math. Mech., 17 (2025), pp. 1333-1352.

Published online: 2025-07

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  • Abstract

Motivated by evident lack of studies on the nonlinear stability of porous functionally graded cylindrical shells under combined mechanical loads, this paper presents an effective analytical approach to investigate the postbuckling behavior of moderately thick functionally graded circular cylindrical shells with porosities subjected to combined action of axial compression and external pressure in thermal environments. Porosities are evenly or unevenly distributed within the functionally graded material (FGM). Due to presence of porosities, effective properties of the FGM are determined using a modified version of linear rule of mixture. Formulations are based on first order shear deformation theory taking into account von Kármán-Donnell non-linearity. Analytical solutions of deflection and stress function are assumed to satisfy simply supported boundary conditions and Galerkin method is adopted to derive closed-form results of buckling loads and nonlinear load-deflection relations. Parametric studies are carried out to evaluate the effects of material and geometry properties, preexisting mechanical loads and temperature, distribution type and volume fraction of porosity on the postbuckling load carrying capacity of porous FGM cylindrical shells.

  • AMS Subject Headings

65N30, 74E30, 74G60, 74K25

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COPYRIGHT: © Global Science Press

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@Article{AAMM-17-1333, author = {Long , Vu Thanh and Tung , Hoang Van}, title = {Postbuckling Analysis of Shear Deformable FGM Cylindrical Shells with Porosities Subjected to Combined Mechanical Loads in Thermal Environments}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2025}, volume = {17}, number = {5}, pages = {1333--1352}, abstract = {

Motivated by evident lack of studies on the nonlinear stability of porous functionally graded cylindrical shells under combined mechanical loads, this paper presents an effective analytical approach to investigate the postbuckling behavior of moderately thick functionally graded circular cylindrical shells with porosities subjected to combined action of axial compression and external pressure in thermal environments. Porosities are evenly or unevenly distributed within the functionally graded material (FGM). Due to presence of porosities, effective properties of the FGM are determined using a modified version of linear rule of mixture. Formulations are based on first order shear deformation theory taking into account von Kármán-Donnell non-linearity. Analytical solutions of deflection and stress function are assumed to satisfy simply supported boundary conditions and Galerkin method is adopted to derive closed-form results of buckling loads and nonlinear load-deflection relations. Parametric studies are carried out to evaluate the effects of material and geometry properties, preexisting mechanical loads and temperature, distribution type and volume fraction of porosity on the postbuckling load carrying capacity of porous FGM cylindrical shells.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.OA-2022-0007}, url = {http://global-sci.org/intro/article_detail/aamm/24282.html} }
TY - JOUR T1 - Postbuckling Analysis of Shear Deformable FGM Cylindrical Shells with Porosities Subjected to Combined Mechanical Loads in Thermal Environments AU - Long , Vu Thanh AU - Tung , Hoang Van JO - Advances in Applied Mathematics and Mechanics VL - 5 SP - 1333 EP - 1352 PY - 2025 DA - 2025/07 SN - 17 DO - http://doi.org/10.4208/aamm.OA-2022-0007 UR - https://global-sci.org/intro/article_detail/aamm/24282.html KW - Porosity, mechanical postbuckling, cylindrical shell, two-term deflection, combined loads. AB -

Motivated by evident lack of studies on the nonlinear stability of porous functionally graded cylindrical shells under combined mechanical loads, this paper presents an effective analytical approach to investigate the postbuckling behavior of moderately thick functionally graded circular cylindrical shells with porosities subjected to combined action of axial compression and external pressure in thermal environments. Porosities are evenly or unevenly distributed within the functionally graded material (FGM). Due to presence of porosities, effective properties of the FGM are determined using a modified version of linear rule of mixture. Formulations are based on first order shear deformation theory taking into account von Kármán-Donnell non-linearity. Analytical solutions of deflection and stress function are assumed to satisfy simply supported boundary conditions and Galerkin method is adopted to derive closed-form results of buckling loads and nonlinear load-deflection relations. Parametric studies are carried out to evaluate the effects of material and geometry properties, preexisting mechanical loads and temperature, distribution type and volume fraction of porosity on the postbuckling load carrying capacity of porous FGM cylindrical shells.

Long , Vu Thanh and Tung , Hoang Van. (2025). Postbuckling Analysis of Shear Deformable FGM Cylindrical Shells with Porosities Subjected to Combined Mechanical Loads in Thermal Environments. Advances in Applied Mathematics and Mechanics. 17 (5). 1333-1352. doi:10.4208/aamm.OA-2022-0007
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