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    题名 作者 年代 出处 被引量
1Scattering by circular cavity in radially inhomogeneous medium with wave velocity variation显示文摘Based on the theory of complex function and the principle of homogenization, harmonic dynamics stress of a radially infinite inhomogeneous medium with a circular cavity is investigated. Due to the symmetry, wave velocity is assumed to have power-law variation in the radial direction only, and the shear modulus is constant. The Helmholtz equation with a variable coefficient is equivalently transformed into a standard Helmholtz equation with a general conformal transformation method(GCTM). The displacements and stress fields are proposed. Numerical results show that the wave number and the inhomogeneity parameter of the medium have significant effects on the dynamic stress concentration around the circular cavity. The dynamic stress concentration factor(DSCF) becomes singular when the inhomogeneity parameter of medium is close to zero.Zailin YANG Baoping HEI Yao WANG 2015Applied Mathematics and Mechanics(English Edition)2015,36,5:4
2Antiplane response of two scalene triangular hills and a semi-cylindrical canyon by incident SH-waves显示文摘Antiplane response of two scalene triangular hills and a semi-cylindrical canyon by SH-waves is studied using wave function expansion and complex function method. Firstly, the analytical model is divided into three parts, and the displacement solutions of wave fields are constructed based on boundary conditions in the three regions. Three domains are then conjoined to satisfy the 'conjunction' condition at shared boundary. In addition, combined with the zero-stress condition of semi-cylindrical canyon, a series of infinite algebraic equations for the problem are derived. Finally, numerical examples are provided and the influence of different parameters on ground motion is discussed.Yang Zailin Xu Huanan Hei Baoping Zhang Jianwei 2014Earthquake Engineering and Engineering Vibration2014,13,4:4
3Transient analysis of 1D inhomogeneous media by dynamic inhomogeneous finite element method显示文摘The dynamic inhomogeneous finite element method is studied for use in the transient analysis of onedimensional inhomogeneous media.The general formula of the inhomogeneous consistent mass matrix is established based on the shape function.In order to research the advantages of this method,it is compared with the general finite element method.A linear bar element is chosen for the discretization tests of material parameters with two fictitious distributions.And,a numerical example is solved to observe the differences in the results between these two methods.Some characteristics of the dynamic inhomogeneous finite element method that demonstrate its advantages are obtained through comparison with the general finite element method.It is found that the method can be used to solve elastic wave motion problems with a large element scale and a large number of iteration steps.Yang Zailin Wang Yao Hei Baoping 2013Earthquake Engineering and Engineering Vibration2013,12,4:3
4Scattering of shear waves by an elliptical cavity in a radially inhomogeneous isotropic medium显示文摘Complex function and general conformal mapping methods are used to investigate the scattering of elastic shear waves by an elliptical cylindrical cavity in a radially inhomogeneous medium.The conformal mappings are introduced to solve scattering by an arbitrary cavity for the Helmholtz equation with variable coefficient through the transformed standard Helmholtz equation with a circular cavity.The medium density depends on the distance from the origin with a power-law variation and the shear elastic modulus is constant.The complex-value displacements and stresses of the inhomogeneous medium are explicitly obtained and the distributions of the dynamic stress for the case of an elliptical cavity are discussed.The accuracy of the present approach is verified by comparing the present solution results with the available published data.Numerical results demonstrate that the wave number,inhomogeneous parameters and different values of aspect ratio have significant influence on the dynamic stress concentration factors around the elliptical cavity.Hei Baoping Yang Zailin Chen Zhigang 2016Earthquake Engineering and Engineering Vibration2016,15,1:1
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