Scattering by circular cavity in radially inhomogeneous medium with wave velocity variation

作者：Yang, Zailin^*; Hei, Baoping; Wang, Yao

来源：Applied Mathematics and Mechanics, 2015, 36(5): 599-608.

DOI：10.1007/s10483-015-1937-7

• radially inhomogeneous medium
• Helmholtz equation with variable coefficient
• complex function method
• general conformal transformation method (GCTM)
• dynamic stress concentration

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.

• 出版日期2015-5
• 单位哈尔滨工程大学