課程資訊
課程名稱
 彈性力學一
Theory of Elasticity (Ⅰ) 
開課學期
 102-1 
授課對象
 工學院  結構工程組  
授課教師
 洪宏基 
課號
 CIE5005 
課程識別碼
 521 U0100 
班次
  
學分
 3 
全/半年
 半年 
必/選修
 選修 
上課時間
 星期一2,3,4(9:10~12:10) 
上課地點
 新402 
備註
 總人數上限：34人 
Ceiba 課程網頁
 http://ceiba.ntu.edu.tw/1021Elasticity2013 
課程簡介影片
 
核心能力關聯
 核心能力與課程規劃關聯圖
課程大綱
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課程概述

(A). Indicial notation and Cartesian tensors
(1). Kinematics
(2). Equilibrium
(3). Principle of Virtual work and duality
(4). Constitution
(5). Various formulations of elasticity problems
(6). Problem solving a) Three-dimensional problems b) One-dimensional problems c) Two-dimensional problems d) Saint-Venant's problem of extension, bending, torsion, and flexture e) Mechanics-of-materials formulations of bars and plates  

課程目標
 To introduce the theory of elasticity and coupled elasticity, including how to formulate and solve the problems. 
課程要求
 (1) 4 exercises (and optional 1 report) 40 percent,
(2) midterm and final 60 percent. 
預期每週課後學習時數
  
Office Hours
 另約時間 備註： Please go directly to my lab at 工綜B20 or office at 土研509 to see if I am available, or make appointment via e-mail (hkhong@ntu.edu.tw).  
指定閱讀
 No textbooks. Please take notes. 
參考書目
 (1) I. S. Sokolnikoff, Mathematical Theory of Elasticity, New York: McGraw-Hill, 1956.
(2) S. P. Timoshenko and J. N. Goodier, Theory of Elasticity, 3rd edition, New York: McGraw-Hill, 1970.
(3) Y. C. Fung, Foundations of Solid Mechanics, Englewood Cliffs, N.J.: Prentice-Hall, 1965.
(4) J.R. Barber, Elasticity, Dordrecht: Springer, 2010. (本校圖書館有電子書)
(5) A. P. Boresi, K. P. Chong, and J. D. Lee, Elasticity in Engineering Mechanics, Hoboken, N.J.: Wiley, 2011. (本校圖書館有電子書)
(6) Weian Yao, Wanxie Zhong, and Chee Wah Lim, Symplectic Elasticity, Singapore: World Scientific Publishing, 2009. (本校圖書館有電子書)
(7) V. G. Rekach, Manual of the Theory of Elasticity, Moscow: Mir Publishers, 1979.
(8) H. Reismann and P. S. Pawlik, Elasticity, Theory and Applications, New York: Wiley, 1980.
(9) A. H. England, Complex Variable Methods in Elasticity, London: Wiley-Interscience, 1971.
(10) A. E. Green and W. Zerna, Theoretical Elasticity, 2nd edition, Oxford: Clarendon Press, 1968; New York: Dover, 1992.
(11) A. E. H. Love, A Treatise on the Mathematical Theory of Elasticity, 4th edition, Cambridge, UK: Cambridge University Press, 1927; New York: Dover, 1963.
(12) L. E. Malvern, Introduction to the Mechanics of a Continuous Medium, Englewood Cliffs, N.J.: Prentice-Hall, 1969.
(13) R. W. Ogden, Non-linear Elastic Deformations, Chichester: Ellis Horwood, 1984; New York: Dover, 1997.
(14) J. E. Marsden and T. J. R. Hughes, Mathematical Foundations of Elasticity, Englewood Cliffs, N.J.: Prentice-Hall, 1983; New York: Dover, 1994.
(15) L. D. Landau and E.M. Lifshitz, Theory of Elasticity, Oxford: Pergamon Press, 1986.
(16) T. C. T. Ting, Anisotropic Elasticity: Theory and Applications, New York: Oxford University Press, 1996. (本校圖書館有電子書)
(17) S. G. Lekhnitskii, Theory of Elasticity of an Anisotropic Elastic Body, San Francisco: Holden-Day, 1963. 
評量方式
(僅供參考)
  
No.
項目
百分比
說明
1. 
 4 exercises 
40% 
 4 exercises (and optional 1 report) 
2. 
 midterm and final  
60% 
  
 
課程進度
週次
日期
單元主題
第1週
 9/09  Indicial notation and Cartesian tensors 
第2週
 9/16  Indicial notation and Cartesian tensors

 
第3週
 9/23  Indicial notation and Cartesian tensors,
Kinematics 
第4週
 9/30  Kinematics
 
第5週
 10/07  Kinematics 
第6週
 10/14  Equilibrium 
第7週
 10/21  Equilibrium 
第8週
 10/28  Equilibrium,
Principle of Virtual work and duality 
第9週
 11/04  Principle of Virtual Work and Duality 
第10週
 11/11  Midterm 
第11週
 11/18  Constitution 
第12週
 11/25  Constitution;
Various formulations of elasticity problems  
第13週
 12/02  Various formulations of elasticity problems
 
第14週
 12/9  Problem Solving (a) Three-dimensional Problems 
第15週
 12/16  Problem solving (b) One-dimensional problems (c) Two-dimensional problems 
第16週
 12/23  Problem solving (c) Two-dimensional Problems 
第17週
 12/30  Problem solving (c) Two-dimensional Problems