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Nonlinear stability analysis of double-curved shallow fgm panels on elastic foundations in thermal environments

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Mechanics of Composite Materials Aims and scope

An analytical investigation into the nonlinear response of thick functionally graded double-curved shallow panels resting on elastic foundations and subjected to thermal and thermomechanical loads is presented. Young’s modulus and Poisson’s ratio are both graded in the thickness direction according to a simple power-law distribution in terms of volume fractions of constituents. All formulations are based on the classical shell theory with account of geometrical nonlinearity and initial geometrical imperfection in the cases of Pasternak-type elastic foundations. By applying the Galerkin method, explicit relations for the thermal load–deflection curves of simply supported curved panels are found. The effects of material and geometrical properties and foundation stiffness on the buckling and postbuckling load-carrying capacity of the panels in thermal environments are analyzed and discussed.

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Acknowledgment.

This work was supported by the Project in Mechanics of the National Foundation for Science and Technology Development of Vietnam — NAFOSTED. The authors are grateful for this financial support.

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Authors and Affiliations

  1. University of Engineering and Technology - Vietnam National University, 144 Xuan, Thuy-Cau Giay- Hanoi-, Viet Nam

    Nguyen Dinh Duc & Tran Quoc Quan

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  1. Nguyen Dinh Duc
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  2. Tran Quoc Quan
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Correspondence to Nguyen Dinh Duc.

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Russian translation published in Mekhanika Kompozitnykh Materialov, Vol. 48, No. 4, pp. 635-652 , July-August, 2012.

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Duc, N.D., Quan, T.Q. Nonlinear stability analysis of double-curved shallow fgm panels on elastic foundations in thermal environments. Mech Compos Mater 48, 435–448 (2012). https://doi.org/10.1007/s11029-012-9289-z

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  • DOI: https://doi.org/10.1007/s11029-012-9289-z

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