论文标题
在薄层中设置的弹性声问题的等效边界条件
Equivalent Boundary Conditions for an Elasto-Acoustic Problem set in a Domain with a Thin Layer
论文作者
论文摘要
我们在固体培养基中介绍了弹性和声波衍射问题的等效条件和渐近模型，这些介质被薄层的流体培养基包围。由于层相对于波长的薄度，因此此问题非常适合等效条件的概念，而流体培养基对固体的影响是第一个近似局部局部局部局部。我们得出并验证等效条件，直至弹性位移的第四阶。这些条件近似在流体区域传播的声波。这种方法导致仅求解弹性方程。等效条件的构建基于层厚度的功率系列中的多尺度扩展，以解决传输问题的解决方案。
We present equivalent conditions and asymptotic models for the diffraction problem of elastic and acoustic waves in a solid medium surrounded by a thin layer of fluid medium. Due to the thinness of the layer with respect to the wavelength, this problem is well suited for the notion of equivalent conditions and the effect of the fluid medium on the solid is as a first approximation local. We derive and validate equivalent conditions up to the fourth order for the elastic displacement. These conditions approximate the acoustic waves which propagate in the fluid region. This approach leads to solve only elastic equations. The construction of equivalent conditions is based on a multiscale expansion in power series of the thickness of the layer for the solution of the transmission problem.
