INFINITE DOMAIN CORRECTION FOR IN-PLANE BODY WAVES IN A TWO-DIMENSIONAL BOUNDARY ELEMENT ANALYSIS

A method is described in this article to correct for the error that arises with the discretization of domains that include boundaries that extend to inÞnity. Typically when open domains are discretized, part of the boundary is excluded from the calculation resulting in a truncated region. Of particular interest in this article are earthquake wave ampliÞcation problems through zoned media. In these type of problems, the boundary element discretization scheme typically results in truncated regions. Correction for truncation in anti-plane wave problems has already been addressed in a previous article by HeymsÞeld.1 In this article, truncation correction for in-plane body waves in a damped material will be discussed. To prove the validity of the proposed technique, the method is checked by calculating the soil ampliÞcation of a unit in-plane SV wave through a soil layer resting on a rock half-space. Since an analytic solution exists for this problem, the problem serves as a good basis to compare results with and without the corrections for truncation. Results for this particular problem compare the analytic solution with the numerical solution considering (1) no truncation correction, (2) only layer correction, and (3) both layer and half-space corrections