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