The Finite Element Method: A Primer (有限元素法入門)

Bielak, Jacobo

The Finite Element Method: A Primer
  • 出版商: Springer
  • 出版日期: 2024-06-22
  • 售價: $4,090
  • 貴賓價: 9.5 折 $3,886
  • 語言: 英文
  • 頁數: 288
  • 裝訂: Hardcover - also called cloth, retail trade, or trade
  • ISBN: 3031563689
  • ISBN-13: 9783031563683

    • 海外代購書籍(需單獨結帳)

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商品描述

This textbook introduces the widely used numerical technique FEM in various engineering disciplines for the analysis of structures, heat transfer, fluid dynamics, and other physical phenomena.

Appropriate for interested senior undergraduate engineering students and beginner graduate students in a one-semester introductory course, this book provides a clear understanding of the main issues in FEM.

Looking at the FEM as a variational approximation method that uses localized piecewise polynomial basis functions for the solution of boundary-value problems (BVP) and initial boundary-value problems (IBVP), the book uses examples to apply this technique to various problems of physical interest, e.g., elasticity, heat conduction, advection-diffusion, etc. One-dimensional (1D) problems are presented first to make it easier to grasp the fundamental concepts associated with the formulation and application of the FEM; then, the methodology is extended to more challenging 2D and 3D problems that involve somewhat greater mathematical complexity. For simplicity, the book deals with problems that are specified in terms of a single set of state variables, such as displacements or temperature. Finally, due to the introductory nature of this text, only linear problems are considered.


商品描述(中文翻譯)

本教科書介紹了在各種工程學科中廣泛使用的數值技術有限元素法（FEM），用於結構分析、熱傳遞、流體動力學及其他物理現象的研究。

本書適合對有限元素法感興趣的高年級本科工程學生及初學的研究生，作為一學期的入門課程，提供對有限元素法主要問題的清晰理解。

本書將有限元素法視為一種變分近似方法，使用局部分段多項式基函數來解決邊界值問題（BVP）和初始邊界值問題（IBVP），並通過範例將此技術應用於各種物理相關問題，例如彈性、熱傳導、對流擴散等。首先介紹一維（1D）問題，以便更容易掌握與有限元素法的公式化和應用相關的基本概念；然後，將方法擴展到更具挑戰性的二維（2D）和三維（3D）問題，這些問題涉及較大的數學複雜性。為了簡化，本書處理的問題是以單一狀態變數集（如位移或溫度）來指定的。最後，由於本書的入門性質，僅考慮線性問題。

作者簡介

​Jacobo Bielak is Hamerschlag University Professor Emeritus in the Department of Civil and Environmental Engineering at Carnegie Mellon University. His research interests include earthquake engineering, engineering seismology, computational seismology, computational mechanics, and structural health monitoring. Bielak was a member of the original Applied Technology Council (ATC) committee that drafted the first seismic provisions for soil-structure interaction in the US, based mainly on his work. These provisions are now, in modified form, part of the National Earthquake Hazards Reduction Program (NEHRP) seismic provisions.

He has received the Gordon Bell Prize for Special Accomplishment Based on Innovation. He is a Member of the National Academy of Engineering, a Distinguished Member of the American Society of Civil Engineers, an Honorary Member of the Earthquake Engineering Research Institute, and a Fellow of the U.S. Association for Computational Mechanics. He isalso a Corresponding Member of the Mexican Academy of Sciences and of the Mexican Academy of Engineering.

Bielak received his Civil Engineer's degree from the National University of Mexico (UNAM), MS from Rice University, and PhD from Caltech.

作者簡介(中文翻譯)

Jacobo Bielak 是卡內基梅隆大學土木與環境工程系的哈默施拉格大學名譽教授。他的研究興趣包括地震工程、工程地震學、計算地震學、計算力學以及結構健康監測。Bielak 是最初的應用技術委員會（ATC）成員之一，該委員會起草了美國土壤-結構互動的第一套地震條款，這主要基於他的研究成果。這些條款現在以修改形式成為國家地震災害減少計畫（NEHRP）地震條款的一部分。

他曾獲得戈登·貝爾獎，以表彰其基於創新的特殊成就。他是美國工程院院士、美國土木工程師學會的傑出會員、地震工程研究所的名譽會員，以及美國計算力學協會的會士。他同時也是墨西哥科學院和墨西哥工程學院的對應會員。

Bielak 於墨西哥國立大學（UNAM）獲得土木工程學位，於萊斯大學獲得碩士學位，並於加州理工學院獲得博士學位。

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