弹性体内一类表面波的求解

研究了在平面应变假设条件下，弹性体内一类表面波的求解以及一般解的结构。文献6]只给出了表面波的一个右行波解，且无求解过程。基于表面波的解可表示为膨胀波和畸变波的叠加，利用分离变量法求出了表面波的一般解，一般解包含无穷多个行波解，这些行波解可能为左行波、右行波或左右行波的叠加。另外，还讨论了表面波一般解的结构以及不同行波解波速之间的关系，发现不同行波的波速大小相同。

Solution of a class of surface waves in an elastic body

Under the assumption of plane strain, the solution and the solution structure of a class of surface waves in an elastic body have been studied in the previous literature. In reference 6], only one right traveling wave solution of a surface wave has been given, without a detailed solution process. Based on the fact that the solution of a surface wave can be expressed as the superposition of an expansion wave and a distorted wave, the general solution of surface wave is obtained by using the method of separating variables. The solution contains an infinite number of traveling wave solutions, which may be left traveling waves, right traveling waves or a superposition of left and right traveling waves with the same wave velocity. In addition, the solution space of surface waves and the velocity relationship between different solutions are discussed.