課程資訊

Theory of Plasticity

101-2

CIE7015

521 M1160

Ceiba 課程網頁
http://ceiba.ntu.edu.tw/1012plasticity

(1). Evidences of plastic behavior: 塑性行為證據
Experiments. 塑性力學的材料與結構實驗證據
Truss of three bars. 三桿桁架之塑性行為
State, state space, and path. 狀態、狀態空間、路徑
(2). Framework of mechanics of materials, theory of structures, and theory of elasticity: 材料力學、結構學、彈性力學的理論與解題架構
Kinematics, constitution, and equilibrium. 機動、組成、平衡
Generalized stress and generalized strain. 廣義應力、廣義應變
Goal of the present course. 本課程之目標
(3). Yield condition and yield surface 降伏條件、降伏面
(A). Indicial notation, Tensors, Invariants 指標記法、張量、不變量
(4). Plastic flow rules and switch of plasticity 塑流規則與塑性機制的開關
(5). Models of Perfect elastoplasticity 完全彈塑性組成律
(6). Hardening and softening 硬化軟化
(7). Slip line theory 滑移線理論
(8). Limit analysis 極限分析
Collapse surface 崩塌面
(9). Dynamic plasticity: wave and vibration 塑性動力學─波動及振動
(10). Boundary value problems 彈塑性邊界值問題
(11). Finite element method in elastoplastic theory 彈塑性邊界值問題之有限元素法
(12). Thermodynamic aspects of plasticity 塑性的熱力學面向
Thermodynamics 熱力學
Thermodynamical restrictions on plastic behavior 塑性行為的熱力學限制
Yield and dissipation 降伏與耗散

Office Hours

1 Jirasek and Bazant, Inelastic Analysis of Structures, Wiley, 2002.
2 Chen and Han, Plasticity for Structural Engineers, Springer-Verlag, 1988. (高

3 Wu, Continuum Mechanics and Plasticity, Chapman & Hall/CRC, 2005. (本校圖書館

4 Lubliner, Plasticity Theory, Macmillan, 1990.
5 Kaliszky, Plasticity Theory and Engineering Applications, Elsevier,
Amsterdam, 1989.
6 Martin, Plasticity, MIT Press, Cambridge, Mass., 1975. (台科大圖書館)
7 Brokowski, Analysis of Skeletal Structural Systems in the Elastic and
Elastic-Plastic Range, Elsevier, 1988.
8 Nemat-Nasser, Plasticity, Cambridge University Press, 2004.
9 Baker and Heyman, Plastic Design of Frames 1 Fundamentals, Cambridge
University Press, 1969.
10 Heyman, Plastic Design of Frames 2 Applications, Cambridge University
Press, 1971.
11 Horne, Plastic Theory of Structures, 2nd ed., Pergamon Press, Oxford, 1979.
12 Mendelson, Plasticity: Theory and Application, Macmillan, 1968. (良宜出版社)
13 Hill, The Mathematical Theory of Plasticity, Oxford University Press, 1950.
15 Kachanov, Foundations of the Theory of Plasticity, North-Holland, 1971.
16 Chakrabarty, Theory of Plasticity, 2nd ed., McGraw-Hill, 1998. (滄海書局)
3rd ed., Butterworth-Heinemann, 2006.
17 Johnson and Mellor, Engineering Plasticity, Van Nostrand Reinhold, London,
1973.
18 Cristescu, Dynamic Plasticity, North-Holland, 1967, 2nd ed., World
Scientific, 2007.
19 Wong, Plastic analysis and design of steel structures, Elsevier,
Butterworth-Heinemann, Burlington, Mass., 2009. (本校圖書館有電子書)

(僅供參考)

 No. 項目 百分比 說明 1. [專題報告]、[筆記，或心得札記，或閱讀的論文或書籍等資料] 10% [專題報告]一定要繳交。[筆記,或心得札記,或閱讀的論文或書籍等資料]則是optional,可交,可不交.若曾經花時間記筆記,或看過,找過其他(課程大綱所列之參考書以外之)書本,報告,論文等資料,或整理心得札記,只要這些筆記,資料,心得札記等,可幫助老師了解學生所下功夫,或可顯示學生對塑性力學學理及其工程應用的了解程度者,或對正面評分有幫助者,則請交[筆記,或心得札記,或閱讀的論文或書籍等資料]。 2. 作業 30% 寫作業主要是增進了解。寫作業可能會花很多時間,這是自我鍛鍊的好時機,請勿抄襲,但可在適當階段或時點前討論。 3. 期中考與學期考 60% 期中考30%與學期考30%。考前有作業及模擬題庫可參考。考試時間一般相當長,能夠發揮,請盡量寫,以便檢驗觀念思緒是否妥善建立,技術細節是否正確。

 課程進度
 週次 日期 單元主題 第1週 2/22 (1). Evidences of plastic behavior: 塑性行為證據 Experiments. 塑性力學的材料與結構實驗證據 第2週 3/01 Truss of three bars. 三桿桁架之塑性行為 State, state space, and path. 狀態、狀態空間、路徑 第3週 3/08 (2). Framework of mechanics of materials, theory of structures, and theory of elasticity: 材料力學、結構學、彈性力學的理論與解題架構 Kinematics, constitution, and equilibrium.機動、組成、平衡 Generalized stress and generalized strain.廣義應力、廣義應變 Goal of the present course.本課程之目標 第4週 3/15 (3). Yield condition and yield surface 降伏條件、降伏面 第5週 3/22 (A). Indicial notation and Cartesian tensors 指標記法、張量 第6週 3/29 (4). Plastic flow rules and switch of plasticity 塑流規則與塑性機制的開關 第7週 4/05 (5). Models of perfect elastoplasticity 完全彈塑性組成律 第8週 4/12 (6). Hardening and softening 硬化軟化 第9週 4/19 期中考 第10週 4/26 (7). Slip line theory 滑移線理論 第11週 5/03 (8). Limit analysis 極限分析 第12週 5/10 Collapse surface 崩塌面 第13週 5/17 (9). Dynamic plasticity: wave and vibration 塑性動力學─波動及振動 第14週 5/24 (10). Boundary value problems 彈塑性邊界值問題 第15週 5/31 (11). Finite element method in elastoplastic theory 彈塑性邊界值問題之有限元素法 第16週 6/07 (12). Thermodynamic aspects of plasticity 塑性的熱力學面向 Thermodynamics 熱力學 第17週 6/14 Thermodynamical restrictions on plastic behavior 塑性行為的熱力學限制 Yield and dissipation 降伏與耗散