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中文摘要：
功能梯度材料的宏观材料特性在空间上是连续变化的,因此即使在线弹性理论范围内,由于控制偏微分方程是变系数的,相应的力学分析具有很大的挑战性.综述了功能梯度材料与结构若干力学问题的最新研究进展,包括功能梯度材料梁、板、壳结构的解析解与半解析解以及简化理论的研究、功能梯度材料结构的数值计算方法研究、功能梯度材料的断裂力学研究.最后对未来功能梯度材料与结构的力学研究进行了展望.
英文摘要：
Owing to the continuously varying characteristics of macroscopic material properties of functionally graded materials （FGMs）, the governing partial differential equations, even within the framework of linear elasticity, are those with variable coeffcients, making the mechanics study a tough challenge. This paper gives a survey on the recent advances in the study on functionally graded materials and structures. We focus on the following three aspects： （1） the analytical and the semi-analytical solutions of functionally graded beams, plates and shells as well as their simplified theories, （2） the numerical methods for FGM structures, and （3） the fracture analysis of functionally graded materials. Perspective is finally given for future development of mechanics analysis of functionally graded materials and structures.
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Basic solution of two parallel Mode-I permeable cracks in functionally graded piezoelectric material
Numerical investigation on the fracture behaviors of three-dimensional functionally graded materials
3D analytical solution for a rotating transversely isotropic annular plate of functionally graded ma
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Three-dimensional analytical solution for a transversely isotropic functionally graded piezoelectric
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Basic solutions of two parallel Mode-I cracks or four parallel Mode-I cracks in the piezoelectric ma
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Transient responses of a magneto-electro-elastic hollow sphere for fully coupled spherically symmetr
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Investigation of anti-plane shear behavior of a Griffith permeable crack in functionally graded piez
Investigation of the behavior of a Mode-I crack in the functionally graded materials by non-local th
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Three dimensional analytical solutions for functionally graded magneto-electro-elastic circular plat
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Axisymmetric elasticity solutions for a uniformly loaded annular plate of transversely isotropic fun
The nonlocal theory solution of a mode-I crack in functionally graded materials subjected to harmoni
Analysis of a moving crack for a functionally graded strip sandwiched between two homogeneous layers
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An electromechanical impedance approach for quantitative damage detection in Timoshenko beams with p
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Analytical solution for functionally graded anisotropic cantilever beam subjected to linearly distri
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Anti-plane shear crack in a functionally gradient piezoelectric layer bonded to dissimilar half spac
The transient fracture behavior for a functionally graded layered structure subjected to an in-plane
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