課程名稱 |
彈性力學一 Theory of Elasticity (Ⅰ) |
開課學期 |
111-1 |
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 |
521EU0100 |
班次 |
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學分 |
3.0 |
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501 |
備註 |
本課程以英語授課。與劉立偉合授 總人數上限:34人 |
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課程簡介影片 |
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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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為確保您我的權利,請尊重智慧財產權及不得非法影印
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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). Summary of equations, various formulations of problems
(6-10). Problem solving
6). One-dimensional problems
7). Two-dimensional problems
8). Rods (Saint-Venant's problems of extension, bending, torsion, and flexure)
9). Plates
10). Three-dimensional problems |
課程目標 |
To introduce the theory of elasticity (and coupled elasticity), including preliminaries on tensors and how to formulate and solve the various kinds of problems. The relations between the mechanics-of-materials approach and the theory-of-elasticity approach are clarified. |
課程要求 |
(1) 6 exercises 34 percent,
(2) midterm exam 33 percent,
(3) final exam 33 percent.
(4) (optional 1 report; 10 percent bonus) |
預期每週課後學習時數 |
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Office Hours |
每週一 12:10~12:30 備註: Please go directly to my lab at Engrg. Complex Bldg. (工綜) Room No.
B20 or to my office at Civil Engrg. Research Bldg. (CERB土研) Room
No. 509 to
see if I am available, or make appointment via e-mail
hkhong@ntu.edu.tw |
指定閱讀 |
Lecture 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) M. H. Sadd, Elasticity Theory, Applications, and Numerics, Amsterdam:
Elsevier, 2005.
(6) 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)
(7) M. E. Gurtin: The Linear Theory of Elasticity. Encyclopedia of Physics,
Mechanics of Solids II, VIa/2, pp. 1-295. Berlin: Springer, 1972.
(8) V. G. Rekach, Manual of the Theory of Elasticity, Moscow: Mir Publishers,
1979.
(9) H. Reismann and P. S. Pawlik, Elasticity, Theory and Applications, New
York: Wiley, 1980.
(10) J. J. Connor, Analysis of Structural Member Systems, Ronald Press, 1976.
(11) A. H. England, Complex Variable Methods in Elasticity, London: Wiley-
Interscience, 1971.
(12) A. E. Green and W. Zerna, Theoretical Elasticity, 2nd edition, Oxford:
Clarendon Press, 1968; New York: Dover, 1992.
(13) A. E. H. Love, A Treatise on the Mathematical Theory of Elasticity, 4th
edition, Cambridge, UK: Cambridge University Press, 1927; New York: Dover,
1963.
(14) L. E. Malvern, Introduction to the Mechanics of a Continuous Medium,
Englewood Cliffs, N.J.: Prentice-Hall, 1969.
(15) R. W. Ogden, Non-linear Elastic Deformations, Chichester: Ellis Horwood,
1984; New York: Dover, 1997.
(16) J. E. Marsden and T. J. R. Hughes, Mathematical Foundations of
Elasticity,
Englewood Cliffs, N.J.: Prentice-Hall, 1983; New York: Dover, 1994.
(17) L. D. Landau and E.M. Lifshitz, Theory of Elasticity, Oxford: Pergamon
Press, 1986.
(18) T. C. T. Ting, Anisotropic Elasticity: Theory and Applications, New York:
Oxford University Press, 1996. (本校圖書館有電子書)
(19) S. G. Lekhnitskii, Theory of Elasticity of an Anisotropic Elastic Body,
San Francisco: Holden-Day, 1963.
(20) Weian Yao, Wanxie Zhong, and Chee Wah Lim, Symplectic Elasticity,
Singapore: World Scientific Publishing, 2009. (本校圖書館有電子書)
(21) N. I. Muskhelishvili: Some Basic Problems of the Mathematical Theory of
Elasticity. Groningen, The Netherlands: Noordhoff, 1963. |
評量方式 (僅供參考) |
No. |
項目 |
百分比 |
說明 |
1. |
Participating in discussions and/or (voluntary, optional) 1~2 report(s) |
0% |
(bonus 10%)平時上下課時討論參與度 主動 翻轉度 (志願)自選題目研讀後提交報告 |
2. |
Final exam 期末考 |
33% |
closed books |
3. |
Midterm exam 期中考 |
33% |
closed books |
4. |
Exercises 作業 平時成績 |
34% |
6 sets of exercises 作業成績 |
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週次 |
日期 |
單元主題 |
第1週 |
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Appendix A Indicial notation and Cartesian tensors (3h) |
第2週 |
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Appendix A Indicial notation and Cartesian tensors (1h)
Ch1 Kinematics (2h) |
第3週 |
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Ch1 Kinematics (3h)
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第4週 |
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Ch2 Equilibrium (3h)
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第5週 |
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Ch2 Equilibrium (1h)
Ch3 Principle of virtual work and duality (2h) |
第6週 |
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Ch3 Principle of virtual work and duality (1h)
Ch4 Constitution (2h) |
第7週 |
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Ch4 Constitution (2h)
Ch5 Summary of equations and various formulations (1h) |
第8週 |
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Ch5 Summary of equations and various formulations (3h) |
第9週 |
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Midterm exam. (Appendix A and Chapters 1-5) |
第10週 |
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Ch6 One-dimensional problems (2h)
Ch7 Two-dimensional problems (1h) |
第11週 |
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Ch7 Two-dimensional problems (3h) |
第12週 |
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Ch7 Two-dimensional problems (3h) |
第13週 |
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Ch8 Rods (Saint-Venant problems) (3h) |
第14週 |
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Ch8 Rods (Saint-Venant problems) (1h)
Ch9 Plates (2h) |
第15週 |
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Ch9 Plates (3h) |
第16週 |
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Ch10 Three-dimensional problems (3h) |
第17週 |
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Ch10 Three-dimensional problems (3h) |
第18週 |
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Final exam. (Chapters 6-10) |
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