Elastic wave scattering and dynamic stress concentrations in exponential graded materials with two elliptic holes

• FGMs used in this paper are developing materials other than traditional materials.
• Solving the elastic wave problem for two scattered bodies becomes complex.
• In especial, the scattered bodies studied are non-circular.
• The complex function method used in elastodynamics is another bright spot.

Based on the elastodynamics, employing complex functions and conformal mapping methods, and local coordinates, the scattering of elastic waves and dynamic stress concentrations in infinite exponential graded materials with two holes are investigated. A general solution of the problem and expression satisfying the given boundary conditions are derived. The problem can be reduced to the solution of an infinite system of algebraic equations. As an example, numerical results of dynamic stress concentration factors for two elliptic holes in exponential graded materials are presented, and the influence of incident wave number and holes spacing on dynamic stress distributions is analyzed.