課程資訊
課程名稱
 塑性力學
Theory of Plasticity 
開課學期
 111-2 
授課對象
 工學院  結構工程組  
授課教師
 劉立偉 
課號
 CIE7015 
課程識別碼
 521EM1160 
班次
  
學分
 3.0 
全/半年
 半年 
必/選修
 選修 
上課時間
 星期五2,3,4(9:10~12:10) 
上課地點
 土研405 
備註
 本課程以英語授課。
總人數上限：34人 
  
課程簡介影片
 
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課程概述

This course starts from the basic concept of plasticity. Then it establish analytical ways to understand the plasticity in different materials/structures. In addition, the recent progress in computational plasticity is introduced. 

課程目標
 One aim of this course is to introduce the constitutive theories, mechanical behavior of elastoplasticity, and applications to materials, structures, geotechniques, and metal forming.

A second aim is to discuss the experimental and analytical methods of elastoplasticity so that student is well informed about the theory of incremental analysis (time series analysis) useful in the study of elastoplastic problems.

The final aim is to introduce the recent advances in computational approaches as well as the limit analysis in high-dimensional load space.

The benefits are for students to get familiar with experimental, analytical, and computational fundamentals in plasticity, to be familiar with the formulation of incremental analysis, and to have a basic understanding of the high-dimensional limit analysis. This knowledge is essential to meet the challenge posed by future engineering analyses and designs.
 
課程要求
 Engineering Mathematics, Mechanics of Materials 
預期每週課後學習時數
 9 to 12 hours
 
Office Hours
 每週一 10:00~11:00 
指定閱讀
  
參考書目
 1. Han-Chin Wu, Continuum Mechanics and Plasticity, Chapman & Hall/CRC, 2005.
2. Jirasek and Bazant, Inelastic Analysis of Structures, Wiley, 2002.
3. Chen and Han, Plasticity for Structural Engineers, Springer-Verlag, 1988.
4. Lubliner, Plasticity Theory, Macmillan, 1990.
5. Kaliszky, Plasticity Theory and Engineering Applications, Elsevier, Amsterdam, 1989.
6. Martin, Plasticity, MIT Press, Cambridge, Mass., 1975.
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, 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.
13. Hill, The Mathematical Theory of Plasticity, Oxford University Press, 1950.
14. Prager, An Introduction to Plasticity, Addison-Wesley, Reading, Mass., 1959.
15 Kachanov, Foundations of the Theory of Plasticity, North-Holland, 1971.
16. Chakrabarty, Theory of Plasticity, 2nd ed., McGraw-Hill, 1998; 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. 
評量方式
(僅供參考)
    
課程進度
週次
日期
單元主題
Week 1
 2023-02-24  Evidences of plastic behavior in multi-scale mechanics/Framework and relationship of solid mechanics 
Week 2
 2023-03-03  Yield conditions and yield surfaces. 
Week 3
 2023-03-10  Models of perfect elastoplasticity: plastic flow rules and switch of plasticity. 
Week 4
 2023-03-17  Models of perfect elastoplasticity: plastic flow rules and switch of plasticity. 
Week 5
 2023-03-24  Recent advances in computational plasticity. 
Week 6
 2023-03-31  Recent advances in computational plasticity. 
Week 7
 2023-04-07  Slip line theory 
Week 8
 2023-04-14  Midterm exam 
Week 9
 2023-04-21  Models of hardening and softening elastoplasticity 
Week 10
 2023-04-28  Models of hardening and softening elastoplasticity. 
Week 11
 2023-05-05  Piecewise linear multi yield surface models 
Week 12
 2023-05-12  Limit analysis: collapse surface. 
Week 13
 2023-05-19  Limit analysis: collapse surface. 
Week 14
 2023-05-26  Thermodynamic aspects of plasticity 
Week 15
 2023-06-02  Thermodynamic aspects of plasticity/group project presentation 
Week 16
 2023-06-09  Final exam