Asymptotic analysis in the anti-plane high-frequency diffraction by interface cracks

作者：Sumbatyan M A^*; Remizov M Yu

来源：Applied Mathematics Letters, 2014, 34: 72-75.

DOI：10.1016/j.aml.2014.04.003

• Diffraction
• Integral equation
• High frequency
• Factorization

In the anti-plane problem about a high-frequency diffraction by an interface crack located between two different elastic materials we propose a new asymptotic approach, which reduces the problem to the Wiener-Hopf integral equations. The key point of the method is a factorization of the symbolic function which is performed in an efficient way. As a result, the leading asymptotic term is written out in an explicit analytical form.

• 出版日期2014-8