| Applications of the state vector method into the analysis of lamina , the current research state of piezoelectric materials and smart materials for civil engineering applications are briefly reviewed based upon literature search. Solutions for axisymmetric and non-axisymmetric layered space magneto-electro-elastic media via the state vector method are investigated.Axisymmetric problem: The state vector equation of transversely isotropic axisymmetric space magneto-electro-elastic media is established in a cylindrical coordinate system. Using the Hankel transform, the state vector equations are reduced to a set of ordinary differential equations. According to the theory of ordinary differential equations and the Cayley-Hamilton theorem, an analytical solution of the problem is presented in the form of the product of initial state vector and transfer matrix, which is given for the four distinct eigenvalues each. Applications of the solutions are discussed. By the use of the continuity conditions at the layer interfaces, the general solution formulation of multilayered axisymmetric space magneto-electro-elastic media is given. A three layered magneto-electro-elastic half-space subjected to vertical mechanical loads , charge or magnetomotive force is analyzed as the numerical example, and the calculative results of two different stacking sequences are compared.Non-axisymmetric problem: Two independent sets of the state vector equations are derived from its governing equations in a cylindrical coordinate system by introducing a set of auxiliary variables. Using the Fourier transform and following the similar reasoning steps of the axisymmetric problem, we obtain the general solution formulation of multilayered non-axisymmetric space magneto-electro-elastic media. The solutions are degenerated to the axisymmetric case as a checkout. The behavior of three layered magneto-electro-elastic half-space subjected to horizontal mechanicalloads is emphatically analyzed.
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