Nonlinear Dynamic Buckling Of Functionally Graded Material Truncated Shallow Spherical Shells

Functionally graded material(FGM) is a kind of composite materials that are microscopically inhomogeneous,taking advantage of the merits of constituent materials adequately.By gradually varying the volume fraction of the constituent materials,FGM possesses the gradient in properties,i.e,the thermal and mechanical properties vary smoothly and continuously from one surface to the other,which eliminates the mismatch of mechanical properties induced by the interface.Such that,FGM is considered as a potential structural material for the future high-speed spacecraft,nuclear reactor and chemical plants,duo to its excellent performance in high temperature environments.The studies of mechanical behaviors of functionally graded material plates and shells have being become one of the important direction in solid mechanics.In chapter one,the thermomechanical fracture problems and development of functionally graded materials are reviewed.And in chaper two,based on elastic hypothesis,a set of nonlinear equations which of dynamic for functionally graded materials truncated orthotropic shallow spherical shells including transverse shear subjected to the plane-stress and temperature field are established。The problem of nonlinear dynamic buckling of functionally graded materials truncated shallow spherical shells including transverse shear has been studed in chaper three.The differential equations of nonlinear vibration of the truncated shallow spherical shell which subjected to the lode and temperature are obtained.The cusp catastrophe model of nonlinear dynamic buckling is developed by using catastrophe theory.The dynamic buckling condition are discussed and the critical equation of dynamic buckling of the functionally graded materials truncated shallow spherical shell is obtained.We analysis the factors which arising from the dynamic buckling.