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A simple and effective method for analyzing the stress distribution in a FunctionallyGradient Material(FGM)layer on the surface of a structural component is proposed in this paper.Generally,the FGM layer is very thin compared with the characteristic length of the structural compo-nent,and the nonhomogeneity exists only in the thin layer.Based on these features,by choosing asmall parameter λ which characterizes the stiffness of the layer relative to the component,and expand-ing the stresses and displacements on the two sides of the interface according to the parameter λ,thenasymptotically using the continuity conditions of the stresses and displacements on the interface,a de-coupling computing process of the coupling control equations of the layer and the structural componentis realized.Finally.two examples are given to illustrate the application of the method proposed.
A simple and effective method for analyzing the stress distribution in a FunctionallyGradient Material (FGM) layer on the surface of a structural component is proposed in this paper. Normally, the FGM layer is very thin compared with the characteristic length of the structural compo-nent , and the nonhomogeneity exists only in the thin layer. Based on these features, by choosing asmall parameter λ which characterizes the stiffness of the layer relative to the component, and expand-ing the stresses and displacements on the two sides of the interface according to the parameter λ, then easilymptotically using the continuity conditions of the stresses and displacements on the interface, a de-coupling computing process of the coupling control equations of the layer and the structural component realized. Infinitive. two examples are given to illustrate the application of the method proposed.