Thermal nonlinear stability of functionally graded porous material nearly cylindrical shells with surrounding elastic media and tangentially restrained edges

Abstract

This paper aims to investigate the influences of surrounding elastic media and tangential edge constraints on the buckling and postbucking behaviors of nearly cylindrical shell (NCS) made of functionally graded porous material (FGPM) and subjected to uniform temperature rise. Three different types of porosity distributions are considered and assumed to be in forms of cosine functions of thickness variable. The volume fractions of material constituents are assumed to vary through the shell thickness according to power‐law functions. Temperature‐dependent material properties and elasticity of tangential constraints of boundary edges are included. Governing equations are established within the framework of classical shell theory taking into account von Kármán–Donnell nonlinearity and interactive pressure from surrounding elastic media. Multiterm analytical solutions for simply supported NCSs are assumed and Galerkin procedure is utilized to derive expressions of buckling load and nonlinear load–deflection relation. An iteration process is adopted to determine critical thermal loads and postbuckling temperature–deflection paths. Numerous parametric studies are carried out to assess many different effects on thermal buckling resistance and postbuckling load carrying capabilities. The study reveals that porosity and tangential edge constraint have beneficial and deteriorative influences on the thermal stability of the NCSs, respectively. Furthermore, the obtained results demonstrate that surrounding elastic media have significantly beneficial influences on the thermal nonlinear stability of FGPM NCSs.

Postbuckling behavior of functionally graded porous toroidal shell segments with surrounding elastic media subjected to combined mechanical loads

“…Recently, the linear bending, free vibration and buckling responses of functionally graded porous micro-plates have been analyzed in works of Kim and coauthors [42,43]. More recently, the effects of tangential edge constraints and surrounding elastic media on the nonlinear stability of functionally graded porous TSSs under external pressure and thermal loading were addressed in works of Tung and coauthors [44,45]. In these studies [42][43][44][45] the porosities are distributed in the FGM according to cosine functions.…”

“…Recently, the linear bending, free vibration and buckling responses of functionally graded porous micro‐plates have been analyzed in works of Kim and coauthors [42, 43]. More recently, the effects of tangential edge constraints and surrounding elastic media on the nonlinear stability of functionally graded porous TSSs under external pressure and thermal loading were addressed in works of Tung and coauthors [44, 45]. In these studies [42–45] the porosities are distributed in the FGM according to cosine functions.…”

Nonlinear parametric vibration analysis of the rotating thin‐walled functionally graded material hyperbolic beams

“…The widespread applications of FGMs across various industries have spurred significant research efforts dedicated to exploring their potential. Research in this field primarily focuses on topics such as thermal elasticity [21], fracture analysis [22], static bending [23], free vibration [24], and the dynamic response [25,26] of functionally graded material structures. Regarding functionally graded thin-walled beams, which involve both linear and nonlinear issues, let us proceed with a brief review.…”