摘要
Background, Motivation and Objective The scattering problems in elastic medium by inclusions or cracks are common in the civil engineering structures, building materials and geologic structures. Scattering by inclusions or cracks in homogeneous isotropic half-space and inhomogeneous medium is practical and significant in engineering. Therefore, dynamic stress concentration should be considered in both homogeneous and inhomogeneous medium when defects exist. Statement of Contribution/Methods Based on the complex function method and the multi-polar coordinate method, the scattering problems of SH-waves by inclusion and crack are analyzed and discussed in the present paper for the cases in both homogeneous half-space and inhomogeneous medium. The homogeneous half-space's surface is considered and the conformal mapping technique is applied to transform the Helmholtz equation with variable coefficients to the general formulation for the inhomogeneous medium. Then, some examples are calculated and discussed for both homogeneous and inhomogeneous medium. Results The results are obtained by calculating and analyzing some examples in this paper. The position of the inclusion and crack can influence DSCF in the homogeneous half-space. Then, the inhomogeneous parameter of the inhomogeneous medium can affect DSCF in the inhomogeneous medium. Discussion and Conclusions The DSCF in the homogeneous half-space is affected by the position of the inclusion. The DSCF in the inhomogeneous medium is mainly influenced by the inhomogeneous parameter of inhomogeneous medium. Then, the DSCF changes with the wave numbers in both homogeneous and inhomogeneous problem. The achievements in this paper are useful and significant in many scientific and engineering fields.
Background, Motivation and Objective The scattering problems in elastic medium by inclusions or cracks are common in the civil engineering structures, building materials and geologic structures. Scattering by inclusions or cracks in homogeneous isotropic half-space and inhomogeneous medium is practical and significant in engineering. Therefore, dynamic stress concentration should be considered in both homogeneous and inhomogeneous medium when defects exist. Statement of Contribution/Methods Based on the complex function method and the multi-polar coordinate method, the scattering problems of SH-waves by inclusion and crack are analyzed and discussed in the present paper for the cases in both homogeneous half-space and inhomogeneous medium. The homogeneous half-space's surface is considered and the conformal mapping technique is applied to transform the Helmholtz equation with variable coefficients to the general formulation for the inhomogeneous medium. Then, some examples are calculated and discussed for both homogeneous and inhomogeneous medium. Results The results are obtained by calculating and analyzing some examples in this paper. The position of the inclusion and crack can influence DSCF in the homogeneous half-space. Then, the inhomogeneous parameter of the inhomogeneous medium can affect DSCF in the inhomogeneous medium. Discussion and Conclusions The DSCF in the homogeneous half-space is affected by the position of the inclusion. The DSCF in the inhomogeneous medium is mainly influenced by the inhomogeneous parameter of inhomogeneous medium. Then, the DSCF changes with the wave numbers in both homogeneous and inhomogeneous problem. The achievements in this paper are useful and significant in many scientific and engineering fields.
引文