Geomechanics and Engineering

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Thermal post-buckling analysis of porous functionally graded pipes with initial geometric imperfection

  • Xu, Jia-Qin (College of Mechanical and Vehicle Engineering, Chongqing University) ;
  • She, Gui-Lin (College of Mechanical and Vehicle Engineering, Chongqing University)
  • Received : 2022.04.15
  • Accepted : 2022.11.08
  • Published : 2022.11.10
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Abstract

In this paper, the thermal post-buckling characteristics of functionally graded (FG) pipes with initial geometric imperfection are studied. Considering the influence of initial geometric defects, temperature and geometric nonlinearity, Euler-Lagrange principle is used to derive the nonlinear governing equations of the FG pipes. Considering three different boundary conditions, the two-step perturbation method is used to solve the nonlinear governing equations, and the expressions of thermal post-buckling responses are also obtained. Finally, the correctness of this paper is verified by numerical analyses, and the effects of initial geometric defects, functional graded index, elastic foundation, porosity, thickness of pipe and boundary conditions on thermal post-buckling response are analyzed. It is found that, bifurcation buckling exists for the pipes without initial geometric imperfection. In contrast, there is no bifurcation buckling phenomenon for the pipes with initial geometric imperfection. Meanwhile, the elastic stiffness can significantly improve thermal post-buckling load and thermal post-buckling strength. The larger the porosity, the greater the thermal buckling load and the thermal buckling strength.

Keywords

Acknowledgement

This work is supported by the talent introduction project of Chongqing University (02090011044159), and Fundamental Research Funds for the Central Universities (2022CDJXY-005), and the project of new technology and equipment of intelligent manufacturing (02090025020040).

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