Motion of the Surface of a Uniform Elastic Half-Space Produced by a Buried Pulse

DOI PDF 被引用文献12件
  • Chaim L. Pekeris
    Department of Applied Mathematics, The Weizmann Institute of Science, Rehovot, Israel
  • Hanna Lifson
    Department of Applied Mathematics, The Weizmann Institute of Science, Rehovot, Israel

抄録

<jats:p>An exact solution is obtained for the motion of the surface of a uniform elastic half-space due to the application at a depth H below the surface of a concentrated vertical force. The time-variation of the applied force is assumed to be represented by the Heaviside unit function. The solution for the horizontal and vertical components of displacement cast in the form of single integrals over a fixed range, and these have been evaluated on the electronic computer of the Weizmann Institute (WEIZAC). The assumed source emits both S waves and P waves. Beyond a distance r1 from the epicenter, which is equal to H/√ in the case λ = μ, the original S wave is converted on reaching the surface into a diffracted SP wave traveling along the surface. At large ranges, the SP phase is more pronounced than the P phase. The S phase is marked by a finite jump for r&lt;r1, and by a logarithmic infinity for r&gt;r1. The coefficient of the logarithmic term is zero both at r=r1 and at large ranges, having a sharp maximum at r=1.004r1. There is no Rayleigh wave at r&lt;r1. At large ranges (r/H≫1) the solution, as a function of the reduced time τ = ct/R, approaches the form of the solution for the surface pulse.</jats:p>

収録刊行物

被引用文献 (12)*注記

もっと見る

キーワード

詳細情報 詳細情報について

問題の指摘

ページトップへ