Seismic Wave Propagation in Non-Homogeneous Elastic Media by Boundary Elements (Solid Mechanics and Its Applications)
暫譯: 邊界元素法在非均質彈性介質中的地震波傳播(固體力學及其應用)

George D. Manolis, Petia S. Dineva, Tsviatko V. Rangelov, Frank Wuttke

  • 出版商: Springer
  • 出版日期: 2016-10-04
  • 售價: $4,510
  • 貴賓價: 9.5$4,285
  • 語言: 英文
  • 頁數: 294
  • 裝訂: Hardcover
  • ISBN: 3319452053
  • ISBN-13: 9783319452050
  • 海外代購書籍(需單獨結帳)

商品描述

This book focuses on the mathematical potential and computational efficiency of the Boundary Element Method (BEM) for modeling seismic wave propagation in either continuous or discrete inhomogeneous elastic/viscoelastic, isotropic/anisotropic media containing multiple cavities, cracks, inclusions and surface topography. BEM models may take into account the entire seismic wave path from the seismic source through the geological deposits all the way up to the local site under consideration.

The general presentation of the theoretical basis of elastodynamics for inhomogeneous and heterogeneous continua in the first part is followed by the analytical derivation of fundamental solutions and Green's functions for the governing field equations by the usage of Fourier and Radon transforms. The numerical implementation of the BEM is for antiplane in the second part as well as for plane strain boundary value problems in the third part. Verification studies and parametric analysis appear throughout the book, as do both recent references and seminal ones from the past.

Since the background of the authors is in solid mechanics and mathematical physics, the presented BEM formulations are valid for many areas such as civil engineering, geophysics, material science and all others concerning elastic wave propagation through inhomogeneous and heterogeneous media.

The material presented in this book is suitable for self-study. The book is written at a level suitable for advanced undergraduates or beginning graduate students in solid mechanics, computational mechanics and fracture mechanics.

商品描述(中文翻譯)

本書專注於邊界元素法(Boundary Element Method, BEM)在建模地震波傳播方面的數學潛力和計算效率,適用於連續或離散的不均勻彈性/粘彈性、各向同性/各向異性介質,並考慮多個空洞、裂縫、夾雜物和表面地形。BEM模型可以考慮從地震源經過地質沉積物到考慮的當地場址的整個地震波路徑。

本書的第一部分一般介紹了不均勻和異質連續體的彈性動力學理論基礎,接著通過使用傅立葉變換和拉東變換推導出控制場方程的基本解和格林函數。第二部分的數值實現針對抗平面問題,第三部分則針對平面應變邊界值問題。全書中穿插了驗證研究和參數分析,以及近期和過去的經典參考文獻。

由於作者的背景在於固體力學和數學物理,所呈現的BEM公式適用於許多領域,如土木工程、地球物理學、材料科學及所有與不均勻和異質介質中的彈性波傳播相關的領域。

本書所呈現的材料適合自學。書中內容的寫作水平適合高年級本科生或剛入學的研究生,特別是在固體力學、計算力學和斷裂力學方面。