Investigation on thermal stresses in FGM hyperelastic thick-walled cylinders

Abstract

ABSTRACTThe analytical and numerical thermomechanical analysis of functionally graded material (FGM) hyperelastic thick-walled pressure vessel are presented in this article. The hyperelastic behavior is modeled using exp−exp strain energy, since it has a good correlation with test data. In case of purely mechanical contribution, for λ≤1, increasing λ where λ is the axial stretch, the radial stress changes more gradually; however, for λ ≥ 1, increasing λ, the radial stress changes drastically. Also, the hoop and axial stresses have a quasi-parabolic behavior. Considering λ ≤ 1, increasing the circumferential stretch in inner surface brings more stability. Also, for λ ≥ 1, increasing , the radial stress increases and makes the system more stable. In a purely thermal contribution, higher temperatures resulted in the tensile radial stress and compressive hoop and axial stresses. In a thermomechanical contribution, the lower axial stretch resulted in more stability. Moreover, the homogenous and various FG pressure vessels are compared. Using FG material by considering profile changes through the wall-thickness, leads to increasing the compressive radial stress resulted in increasing the stability. In industrial applications, these results are practical to control stress distribution and avoid failure under thermomechanical loadings. Using finite element method to verify the analytical results, the comparison of outcomes of FE, and analytical method shows a good agreement.