Introduction to Nonlinear Thermomechanics of Solids (Lecture Notes on Numerical Methods in Engineering and Sciences)
暫譯: 固體非線性熱力學的介紹(工程與科學數值方法講義)

Michal Kleiber

  • 出版商: Springer
  • 出版日期: 2018-05-31
  • 售價: $2,420
  • 貴賓價: 9.5$2,299
  • 語言: 英文
  • 頁數: 356
  • 裝訂: Paperback
  • ISBN: 3319815172
  • ISBN-13: 9783319815176
  • 海外代購書籍(需單獨結帳)

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商品描述

The first part of this textbook presents the mathematical background needed to precisely describe the basic problem of continuum thermomechanics. The book then concentrates on developing governing equations for the problem dealing in turn with the kinematics of material continuum, description of the state of stress, discussion of the fundamental conservation laws of underlying physics, formulation of initial-boundary value problems and presenting weak (variational) formulations. In the final part the crucial issue of developing techniques for solving specific problems of thermomechanics is addressed. To this aim the authors present a discretized formulation of the governing equations, discuss the fundamentals of the finite element method and develop some basic algorithms for solving algebraic and ordinary differential equations typical of problems on hand. Theoretical derivations are followed by carefully prepared computational exercises and solutions.

商品描述(中文翻譯)

本教科書的第一部分介紹了準確描述連續體熱力學基本問題所需的數學背景。接著,書中專注於為該問題發展控制方程,依次處理材料連續體的運動學、應力狀態的描述、基礎物理的基本守恆定律的討論、初邊值問題的公式化,以及呈現弱(變分)公式。在最後一部分,書中探討了解決熱力學特定問題的技術發展這一關鍵問題。為此,作者提出了控制方程的離散化公式,討論了有限元素法的基本原理,並開發了一些解決典型問題的代數方程和常微分方程的基本算法。理論推導之後是精心準備的計算練習和解答。