Course Introduction
塑性力學
Theory of Plasticity — 114-2 Elective course (3.0 credits). Elastoplasticity, incremental analysis, computational plasticity, and limit analysis.
✦ 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
Understanding the inelastic behavior of materials and structures.
Understanding the difference between theory of elasticity and theory of plasticity for materials & structures.
Remembering the constitutive theories of elastoplasticity.
Learning the incremental analysis (time series analysis) of elastoplastic models.
Experiencing the recent advances in computational approaches of elastoplastic solid.
Experiencing the limit analysis in high-dimensional load space of elastoplastic solid.
Activating self-learning for the related topics in theory of plasticity.
Experiencing the discussion with international students.
Course Requirement
- Course Requirement:
- Preview before the class
- Discussion and exercise in the class
- 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:
- Han-Chin Wu, Continuum Mechanics and Plasticity, Chapman & Hall/CRC, 2005.
- Jirasek and Bazant, Inelastic Analysis of Structures, Wiley, 2002.
- Chen and Han, Plasticity for Structural Engineers, Springer-Verlag, 1988.
References
Han-Chin Wu, Continuum Mechanics and Plasticity, Chapman & Hall/CRC, 2005.
Jirasek and Bazant, Inelastic Analysis of Structures, Wiley, 2002.
Chen and Han, Plasticity for Structural Engineers, Springer-Verlag, 1988.
Lubliner, Plasticity Theory, Macmillan, 1990.
Kaliszky, Plasticity Theory and Engineering Applications, Elsevier, Amsterdam, 1989.
Martin, Plasticity, MIT Press, Cambridge, Mass., 1975.
Brokowski, Analysis of Skeletal Structural Systems in the Elastic and Elastic-Plastic Range, Elsevier, 1988.
Nemat-Nasser, Plasticity, Cambridge University Press, 2004.
Baker and Heyman, Plastic Design of Frames 1 Fundamentals, Cambridge University Press, 1969.
Heyman, Plastic Design of Frames, Applications, Cambridge University Press, 1971.
Horne, Plastic Theory of Structures, 2nd ed., Pergamon Press, Oxford, 1979.
Mendelson, Plasticity: Theory and Application, Macmillan, 1968.
Hill, The Mathematical Theory of Plasticity, Oxford University Press, 1950.
Prager, An Introduction to Plasticity, Addison-Wesley, Reading, Mass., 1959.
Kachanov, Foundations of the Theory of Plasticity, North-Holland, 1971.
Chakrabarty, Theory of Plasticity, 2nd ed., McGraw-Hill, 1998; 3rd ed., Butterworth-Heinemann, 2006.
Johnson and Mellor, Engineering Plasticity, Van Nostrand Reinhold, London, 1973.
Cristescu, Dynamic Plasticity, North-Holland, 1967; 2nd ed., World Scientific, 2007.
Grading
(僅供參考)
| No. | Item | % | Notes |
|---|---|---|---|
| 1. | Midterm exam | 15% | — |
| 2. | Final exam | 15% | — |
| 3. | Pre-class assignment | 10% | — |
| 4. | In-class hand-in | 10% | — |
| 5. | After-class hand-out | 35% | — |
| 6. | Group project | 15% | — |
| 7. | Personal project | 0% | Bonus: 10% |
- 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 1 | — | Holiday: Peace memorial day |
| Week 2 | — | Chapter 1: Beyond elasticity: Evidences of plastic behavior in multi-scale mechanics / Framework and relationship of solid mechanics |
| Week 3 | — | Chapter 3: Models of perfect elastoplasticity: yield conditions and yield surfaces |
| Week 4 | — | Chapter 3: Models of perfect elastoplasticity: plastic flow rules and the role of the equivalent plastic strain |
| Week 5 | — | Chapter 3: Models of perfect elastoplasticity: the on-off switch of plasticity and the straining condition |
| Week 6 | — | Holiday: Universal Children's Day |
| Week 7 | — | Midterm exam |
| Week 8 | — | Chapter 3: Models of perfect elastoplasticity: the two-phase dynamical system and tangent modulus and vibration analysis |
| Week 9 | — | Chapter 4: Recent advances in computational plasticity. |
| Week 10 | — | Holiday: Labor day |
| Week 11 | — | Chapter 4: Recent advances in computational plasticity. |
| Week 12 | — | Chapter 5: Models of hardening and softening elastoplasticity. |
| Week 13 | — | Chapter 5: Models of hardening and softening elastoplasticity. |
| Week 14 | — | Chapter 6: Piecewise linear multi yield surface models / Limit analysis: collapse surface. |
| Week 15 | — | Chapter 7: Thermodynamic aspects of plasticity / Generalized standard material models |
| Week 16 | — | Final exam |