Study on wave motion of lining structures embedded in modulus
inhomogeneous medium via complex function
Abstract
The task of this work is to study the scattering of SH waves by
homogeneous lining structures in unbounded inhomogeneous medium. The
shear modulus is assumed to be a function of coordinates (x,y). A
two-dimensional scattering model is established. Based on the complex
function theory, the expressions of wave field in the lining medium are
derived. Meanwhile, a displacement auxiliary function and a pair of
mapping functions are introduced to obtain the wave field expressions in
inhomogeneous media. The unknown coefficients in the expression can be
solved by boundary conditions on the lining structure. The stress
concentration phenomenon on the lining structure is discussed in
numerical examples. The distributions of dynamic stress concentration
factor on the inner and outer boundary are analyzed under different
influencing factors. Finally, it is found that the inhomogeneous
parameters and reference wave numbers of the medium have an obvious
influence on the distribution of dynamic stress concentration factor.