Thermal-mechanical behavior of functionally graded thick plates, with one pair of opposite edges simply supported, is investigated based on 3D thermoelasticity. As for the arbitrary boundary conditions, a semi-analyti...Thermal-mechanical behavior of functionally graded thick plates, with one pair of opposite edges simply supported, is investigated based on 3D thermoelasticity. As for the arbitrary boundary conditions, a semi-analytical solution is presented via a hybrid approach combining the state space method and the technique of differential quadrature. The temperature field in the plate is determined according to the steady-state 3D thermal conduction. The Mori-Tanaka method with a power-law volume fraction profile is used to predict the effective material properties including the bulk and shear moduli, while the effective coefficient of thermal expansion and the thermal conductivity are estimated using other micromechanics-based models. To facilitate the im-plementation of state space analysis through the thickness direction, the approximate laminate model is employed to reduce the inhomogeneous plate into a homogeneous laminate that delivers a state equation with constant coefficients. The present solutions are validated by comparisons with the exact ones for both thin and thick plates. Effects of gradient indices, volume fraction of ceramics, and boundary conditions on the thermomechanical behavior of functionally graded plates are discussed.展开更多
By using the finite element method,three-dimensional models of a number of periodic blunt and sharp notches subjected to tension loading are investigated.The aim of this research is to investigate the thickness effect...By using the finite element method,three-dimensional models of a number of periodic blunt and sharp notches subjected to tension loading are investigated.The aim of this research is to investigate the thickness effect on the location of maximum stress and notch stress intensity factor(NSIF)of corresponding blunt and sharp periodic notches respectively.With this aim,different number of periodic notches as well as different notch opening angles are examined.While for two-dimensional plates weakened by periodic notches some results are available in the literature,this paper first faces the problem of three-dimensional cases.A total of about 100 geometrical configurations are investigated.It is found that,the effect of plate thickness of periodic notched components can be characterized by the relative value with respect to the depth of the notch(H/t).For the blunt periodic notches with relatively higher values of H/t ratio,the value of the maximum tensile stress is located near the free surface.On the contrary for lower values of H/t,it is placed at the middle plane.The same behaviour is observed for sharp periodic notches in terms of notch stress intensity factors.展开更多
基金supported by the National Natural Science Foundation of China (Nos. 10702061, 10725210, and 10832009)Zhejiang Provincial Natural Science Foundation of China (No. Y607116)
文摘Thermal-mechanical behavior of functionally graded thick plates, with one pair of opposite edges simply supported, is investigated based on 3D thermoelasticity. As for the arbitrary boundary conditions, a semi-analytical solution is presented via a hybrid approach combining the state space method and the technique of differential quadrature. The temperature field in the plate is determined according to the steady-state 3D thermal conduction. The Mori-Tanaka method with a power-law volume fraction profile is used to predict the effective material properties including the bulk and shear moduli, while the effective coefficient of thermal expansion and the thermal conductivity are estimated using other micromechanics-based models. To facilitate the im-plementation of state space analysis through the thickness direction, the approximate laminate model is employed to reduce the inhomogeneous plate into a homogeneous laminate that delivers a state equation with constant coefficients. The present solutions are validated by comparisons with the exact ones for both thin and thick plates. Effects of gradient indices, volume fraction of ceramics, and boundary conditions on the thermomechanical behavior of functionally graded plates are discussed.
文摘By using the finite element method,three-dimensional models of a number of periodic blunt and sharp notches subjected to tension loading are investigated.The aim of this research is to investigate the thickness effect on the location of maximum stress and notch stress intensity factor(NSIF)of corresponding blunt and sharp periodic notches respectively.With this aim,different number of periodic notches as well as different notch opening angles are examined.While for two-dimensional plates weakened by periodic notches some results are available in the literature,this paper first faces the problem of three-dimensional cases.A total of about 100 geometrical configurations are investigated.It is found that,the effect of plate thickness of periodic notched components can be characterized by the relative value with respect to the depth of the notch(H/t).For the blunt periodic notches with relatively higher values of H/t ratio,the value of the maximum tensile stress is located near the free surface.On the contrary for lower values of H/t,it is placed at the middle plane.The same behaviour is observed for sharp periodic notches in terms of notch stress intensity factors.
