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彈性力學(Elasticity I)University course

課程名稱: 彈性力學(Elasticity I)
  • 學分: (上) 3
  • 課程碼: N673600
  • 必/選修: 甲組核心課程
  • 授課語言: 中、英文
  • 授課教師: 方中
  • 課程大綱:

歷年開課

 

課程目標:

本課程為應用力學基礎科目。旨在講授彈性固體介質受力反應之基本理論,以及其數學模式應用於若干工程力學問題的解析方法。期能培養學生基本的研究能力。

課程內容概要:

1. Introduction; Mathematical Prerequisite; Cartesian Tensors

2. Analysis of Stress; Stress Tensor

3. Analysis of Strain; Strain Tensor

4. Constitutive Equations for Elastic Materials; Generalized Hooke’s Law;

Principle of Virtual Work; Uniqueness of Solution

5. Simple Problems of Elasticity

6. Two-Dimensional Problems, Plane Strain, Plane Stress

7. Energy Principles; Variational Approach

成績計算方式:

(a) 2次考試............................................................................................... 90%

(b) 作業...................................................................................................... 10%

(c) 參考出席率

教科書或主要參考書:

(a)Sokolnikoff, I.S. 1956, Mathematical Theory of Elasticity, Dover Edition, N.Y.

(b) Chen, W.F., Saleeb, A.F. 1982, Constitutive Equations of Engineering Materials, Vol. 1 Elasticity and Modeling, John Wiley, N.Y.

(c) Flugge, W. (Editor), 1962, Handbook of Engineering Mechanics, McGraw-Hill, N.Y.

(d) Lekhnitskii, S.G. 1981, Theory of Elasticity of an Anisotropic Body, Mir, Moscow.

(e) Fung, Y.C., Tong, P. 2001, Classical and Computational Solid Mechanics, World Scientific, Singapore.

 


適合選修對象:

甲組博碩學生