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

被引：19
|
作者：
Yang, Zailin [1 ]
Hei, Baoping [1 ]
Wang, Yao [1 ]
机构：
[1] Harbin Engn Univ, Coll Aerosp & Civil Engn, Harbin 150001, Peoples R China
来源：
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION | 2015年 / 36卷 / 05期
基金：
黑龙江省自然科学基金;
关键词：
radially inhomogeneous medium; Helmholtz equation with variable coefficient; complex function method; general conformal transformation method (GCTM); dynamic stress concentration; STRESS-CONCENTRATION FACTOR; GUIDED-WAVES; HOLE; PLATE; PROPAGATION; CYLINDER;
D O I：
10.1007/s10483-015-1937-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
引用
收藏
页码：599 / 608
页数：10
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