article · Engineering Research Express
A higher-order shear deformation plate theory is used to evaluate the thermomechanical bending behaviour of sandwich plates constructed with functionally graded face sheets and a ceramic core. Material properties change continuously through the plate thickness based on temperature and a power-law distribution. The temperature profile across the thickness is derived from a one-dimensional heat conduction equation that incorporates thermal conductivity, inhomogeneity parameters, and sandwich arrangements. Governing equations for simply supported plates are developed using Hamilton's variational principle and Navier's solutions. Numerical evaluations demonstrate how the volume fraction index, temperature differentials, and side-to-thickness ratios influence structural stresses and deflections. The resulting five-order shear deformation model is validated against existing literature and theoretically encompasses previous polynomial models.
Components exposed to severe thermal and mechanical loads must withstand complex internal stresses without failing. Understanding how advanced composite sandwich plates deform under combined heating and mechanical pressure provides baseline engineering insight. This enables better prediction of structural performance and thermal resistance in environments where materials face steep temperature gradients.
The abstract presents theoretical derivation and numerical validation, indicating an early-stage research level rather than an applied or near-market technology. The findings could inform structural design criteria or be incorporated into computational modelling tools used by engineers evaluating advanced thermal-protection structures. However, the abstract does not indicate an explicit commercialisation pathway or target industry partner.
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Abstract A higher-order shear deformation plate theory (HSDT) is applied in this work to study the thermomechanical bending behavior of sandwich plates composed of functionally graded (FG) face sheets and fully ceramic core. Material properties of the FG sandwich plate are dependent on temperature and supposed to be graded continuously across the sandwich plate thickness direction. Power-law model is adopted to describe continuous variation of material properties of FG sandwich plate. Temperature variation along the thickness direction is obtained by solving the one-dimensional heat conduction equation. An accurate solution of temperature variation along the thickness direction is employed by taking into account the thermal conductivity, the inhomogeneity parameter and the sandwich schemes. The governing equations of simply-supported FG sandwich plates are derived by means of the Hamilton’s variational principle combined with the Navier’s solutions. Numerical results indicate the impact of volume fraction index, temperature difference and side-to-thickness ratio on the deflections and stresses are carried out. The accuracy of the proposed five-order shear deformation theory is validated by comparing it with some available solutions in the literature. The present model is simple and can theoretically cover the existing polynomial models.
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DOI: 10.1088/2631-8695/ab638c
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