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Large displacements of FGSW beams in thermal environment using a finite element formulation

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In the present work, the large displacement behaviour of FGSW beams in thermal environment is studied by a finite element formulation. The beams considered herein consist of three layers, a homogeneous core and two FGM skin layers. The material properties are assumed to be temperature dependent, and they are graded in the thickness direction by a power gradation law. Based on Antman beam model, a nonlinear beam element using linear interpolation is formulated in the context of the total Lagrange formulation. In order to avoid the shear locking, reduced integration technique is employed to evaluate the strain energy. Numerical investigations are carried to show the accuracy of the formulated element and highlight the influence of the material inhomogeneity, temperature rise and layer thickness ratio on the large displacement behaviour of the beams. |