This paper investigates the thermal mechanical bending response of symmetric functionally graded material (FGM) plates. This article proposes a thermodynamic analysis model of both the FGM plate and FGM sandwich plate, and the model only involves four control equations and four unknown variables. The control equation is based on the refined shear deformation theory and the principle of minimum potential energy. The Navier method is used to solve the control equation. According to the method, numerical examples are provided for the thermo-mechanical bending of the symmetric FGM plate and FGM sandwich plate under a simply supported boundary condition, and the accuracy of the model is verified. Finally, parameter analysis is conducted to investigate the effects of the volume fraction index, side-to-thickness ratio, thermal load, and changes in core thickness on the thermal mechanical bending behavior of the symmetric FGM plate and FGM sandwich plate in detail. It was found that the deflection of the FGM plate is greater than that of the FGM sandwich plate, while the normal stress of the FGM plate is smaller than that of the FGM sandwich plate. Moreover, the FGM plate and FGM sandwich plate are sensitive to nonlinear temperature changes.
The paper presents a special shape plate specimen with high strain gradient fields which are similar to those at pressure vessel nozzles. On the specimens, experimental J parameter was obtained by means of the multiple specimen technique; the CTOD δt of three definitions was measured with the microphotography technique; the fracture criteria of the crack initiation were examined at the same time. Thus the estimation formula of the parameter J and the relation between J and δt are deduced for practical nozzle corner cracks. The suitability of the engineering methods of defect assessment being used popularly all over the world and the problem of J controlling crack growth are discussed at the end of the paper.
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