521EM1160

塑性力學 Theory of Plasticity

Department
Civil Engineering, Structural Engineering Division
Instructor
劉立偉/Li-Wei Liu
分類
2026年春季學期研究生課程

課程介紹

CIE7015 · 土木工程學系

塑性力學

Theory of Plasticity — 114-2 Elective course (3.0 credits). Elastoplasticity, incremental analysis, computational plasticity, and limit analysis.

CIE7015 Curriculum Number 114-2 Semester 3.0 Credits 34 Seat Limit

✦ Course Information

Course title 塑性力學 / Theory of Plasticity
Semester 114-2
Designated for College of Engineering · Graduate Institute of Civil Engineering, Structural Engineering Division
Curriculum Number CIE7015
Curriculum Identity Number 521EM1160
Class
Credits 3.0
Full / Half Yr. Half
Required / Elective 選修 (Elective)
Remarks The upper limit of the number of students: 34.

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Class Section

Class Instructor Time Location
Li-Wei Liu Friday 2, 3, 4 (9:10–12:10)

Course Description

This course starts from the inelastic behavior of materials and structures and basic concept of plasticity. Then it establishes analytical ways to understand the plasticity in different materials and structures. In addition, the recent progress in computational plasticity is introduced. Benefits of this course 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.

Course Objective

1

Understanding the inelastic behavior of materials and structures.

2

Understanding the difference between theory of elasticity and theory of plasticity for materials & structures.

3

Remembering the constitutive theories of elastoplasticity.

4

Learning the incremental analysis (time series analysis) of elastoplastic models.

5

Experiencing the recent advances in computational approaches of elastoplastic solid.

6

Experiencing the limit analysis in high-dimensional load space of elastoplastic solid.

7

Activating self-learning for the related topics in theory of plasticity.

8

Experiencing the discussion with international students.

Course Requirement

  • Course Requirement:
    1. Preview before the class
    2. Discussion and exercise in the class
    3. Review after the class
  • Student Workload (Expected weekly study hours before and/or after class): 9 to 12 hours
  • Office Hours: Appointment required.
  • Designated reading:
    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.

References

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.

Grading

(僅供參考)

No. Item % Notes
1.Midterm exam15%
2.Final exam15%
3.Pre-class assignment10%
4.In-class hand-in10%
5.After-class hand-out35%
6.Group project15%
7.Personal project0%Bonus: 10%
Adjustment methods for students
  • Teaching methods:
  • Assignment submission methods: Extension of the deadline for submitting assignments
  • Exam methods:
  • Others: Negotiated by both teachers and students

Grading Policy

NTU has not set an upper limit on the percentage of A+ grades.

Letter Grade System

NTU uses a letter grade system for assessment. The grade percentage ranges and the single-subject grade conversion table in the National Taiwan University Regulations Governing Academic Grading are for reference only. Instructors may adjust the percentage ranges according to the grade definitions. For more information, see the Assessment for Learning Section.

Progress

Week Date Topic
Week 1Holiday: Peace memorial day
Week 2Chapter 1: Beyond elasticity: Evidences of plastic behavior in multi-scale mechanics / Framework and relationship of solid mechanics
Week 3Chapter 3: Models of perfect elastoplasticity: yield conditions and yield surfaces
Week 4Chapter 3: Models of perfect elastoplasticity: plastic flow rules and the role of the equivalent plastic strain
Week 5Chapter 3: Models of perfect elastoplasticity: the on-off switch of plasticity and the straining condition
Week 6Holiday: Universal Children's Day
Week 7Midterm exam
Week 8Chapter 3: Models of perfect elastoplasticity: the two-phase dynamical system and tangent modulus and vibration analysis
Week 9Chapter 4: Recent advances in computational plasticity.
Week 10Holiday: Labor day
Week 11Chapter 4: Recent advances in computational plasticity.
Week 12Chapter 5: Models of hardening and softening elastoplasticity.
Week 13Chapter 5: Models of hardening and softening elastoplasticity.
Week 14Chapter 6: Piecewise linear multi yield surface models / Limit analysis: collapse surface.
Week 15Chapter 7: Thermodynamic aspects of plasticity / Generalized standard material models
Week 16Final exam

附件

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