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In this article, the dynamic characteristics of bimaterial composite spheres under spherical waves induced by cyclic pressure are studied. First, on the basis of the Lamb Decomposition and Variable Separation method, the analytical expression of spherical wave is conducted, which satisfies the stress equilibrium on the outer and inner surfaces of the sphere. Next, algebraic equations with respective boundary conditions are composed and solved by Legendre Polynomial expansion and effective truncation techniques. Obtained results enable to reveal the influence on the dynamic stress concentration factor intensity under proper conditions. The conclusions of this article are verified by comparing the analytical solutions to the ones obtained by the finite element method. This article can provide a theoretical method for the analysis of mechanical properties of multilayered spherical structure under dynamic loading. [ABSTRACT FROM AUTHOR]

In this paper, the problem of a V-notch with complex boundary conditions in a piezoelectric bi-material strip is studied. First, SH guided wave is considered as an external load acting on the piezoelectric bi-material strip; on the basis of repeated image superposition, the analytical expression of scattering wave is conducted, which satisfies the stress-free and electric insulation conditions on the upper and lower horizontal boundaries of the strip. Then, the analytical expression of standing wave is established, which satisfies the stress-free and electric insulation conditions on the boundaries of V-notch by the fractional Bessel function expansion method and Graf addition theorem. Finally, Green's function method is applied, the bi-material strip is divided into two parts along the vertical interface, a pair of in-plane electric field and out-plane forces is applied on the vertical interface, and the first kind of Fredholm integral equations is set up and solved by applying the orthogonal function expansion technique and effective truncation. Results clarified the influence on the dynamic stress concentration factor and electric field intensity concentration factor under proper conditions. Besides, the analytical solutions are compared with the finite element solutions to verify the accuracy of the conclusions in this article. [ABSTRACT FROM AUTHOR]

In this article, the problem of a salient with complex boundary conditions in a piezoelectric strip is studied by Fourier series expansion method, and SH guided wave is considered as an external load acting on piezoelectric strip. First, on the basis of repeated image superposition, the analytical expression of scattering wave is conducted, which satisfies the stress free and electric insulation conditions on the upper and lower horizontal boundaries of the strip. Next, with the aid of boundary condition, integral equations are setup and solved by applying orthogonal function expansion technique and effective truncation. Results clarified the influence on the dynamic stress concentration factor and electric field intensity concentration factor under proper conditions. Besides, the analytical solutions are compared with the finite element solutions to verify the accuracy of the conclusions in this article. [ABSTRACT FROM AUTHOR]

With the aid of guided wave theory, the scattering of SH guided wave by a circular inclusion in an infinite piezoelectric bi-material strip is considered. Firstly, a harmonic out-of-plane line source force is applied on the vertical boundary of a strip. By the means of the repeated image superposition method, Green's function is constructed, which satisfies the stress-free and electric insulation conditions on the upper and lower horizontal boundaries. Secondly, the bi-material media is divided into two parts along the vertical boundary, and a pair of anti-plane forces and a pair of in-plane electric fields are applied on the vertical boundary. According to boundary conditions, the first kind of Fredholm integral equations are established by 'the conjunction method', then the integral equations are reduced to the algebraic equations by effective truncation. Finally, the dynamic stress concentration factor (DSCF) and electric field intensity concentration factor (EFICF) around the circular inclusion are calculated, besides, the influences of the order of guided wave, the position of the inclusion, the combination of parameters, etc. on the DSCF and EFICF are discussed. [ABSTRACT FROM AUTHOR]