本文旨在建立二維半無窮域層狀介質內之上層介質含有平行於自由表面之裂紋體，分別受x、y、z方向之表面衝擊波作用之動畫模擬。分析的過程中，改變裂紋體之長度與位置，採用邊界積分法與有限元素法結合之混合數值法（Hybrid method）分析之，混合數值法在裂紋體附近採用有限元素法，而其他區域則以邊界積分法分析之。文中首先解出各種頻域數值解，其次將頻域解結合Ricker wavelet力函數，再以快速傅立葉轉換（FFT）求得反應之時域解。
文中對於每一時間之時域解皆繪製為動態圖形，以動畫方式呈現波傳在裂紋體之反應。由動態反應圖可有效觀測入射波之衝擊波遇到裂紋體之行為，掌握波傳遞之實際物理現象。裂紋體之自由表面時域圖形及動態應力強度因子本文亦有討論。本文研究成果可做工程非破壞檢測（NDT）應用之參考。

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