What is it about?
Abstract. In this work, an analytical formulation based on both hyperbolic shear deformation theory and stress function, is presented to study the nonlinear post-buckling response of symmetric functionally graded plates supported by elastic foundations and subjected to in-plane compressive, thermal and thermomechanical loads. Elastic properties of material are based on sigmoid power law and varying across the thickness of the plate (S-FGM). In the present formulation, Von Karman nonlinearity and initial geometrical imperfection of plate are also taken into account. By utilizing Galerkin procedure, closed-form expressions of buckling loads and post-buckling equilibrium paths for simply supported plates are obtained. The effects of different parameters such as material and geometrical characteristics, temperature, boundary conditions, foundation stiffness and imperfection on the mechanical and thermal buckling and post-buckling loading capacity of the S-FGM plates are investigated.
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Why is it important?
In this work we research the post-buckling responses of thick FG plates resting on elastic foundations and subjected to axial compressive, thermal and thermo-mechanical loads using a new hyperbolic shear deformation plate theory, stress function for FGM plate with Sigmoid power law distribution of the volume of constituents (S-FGM), considering into account geometrical nonlinearity, initial geometrical imperfection, temperature and the plate-foundation interaction is represented by Pasternak model. Analytical expressions of buckling loads and post-buckling loaddeflection curves for simply supported FG plates are determined by Galerkin technique
Perspectives
This work presents an analytical formulation to study the postbuckling responses of thick symmetric FG plates supported by Pasternak elastic foundations and subjected to in-plane compressive, thermal and thermomechanical loads. Both a new hyperbolic shear deformation plate theory and stress function are used in the present formulation by taking into consideration Von Karman nonlinearity, initial geometrical imperfection, temperature and Pasternak type elastic foundation. The effects of power law index and geometrical characteristics, temperature, boundary conditions, foundation stiffness and imperfection on the postbuckling loading capacity of the S-FG plates are investigated and discussed. It is concluded that the critical mechanical and thermal loadings for the proposed hyperbolic shear deformation theory are almost identical to those for the third order shear deformation theory and for the postbuclking period of the S-FGM plate, comparing with a perfect plate, an imperfect plate has a better mechanical and thermal loading capacity.
Prof Abdelbaki Chikh
Universite Ibn Khaldoun Tiaret
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This page is a summary of: Thermo-mechanical postbuckling of symmetric S-FGM plates resting on Pasternak elastic foundations using hyperbolic shear deformation theory, STRUCTURAL ENGINEERING AND MECHANICS, February 2016, Techno-Press,
DOI: 10.12989/sem.2016.57.4.617.
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