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| MAK5520 | Theory of Plasticity | 3+0+0 | ECTS:7.5 | | Year / Semester | Spring Semester | | Level of Course | Second Cycle | | Status | Elective | | Department | DEPARTMENT of MECHANICAL ENGINEERING | | Prerequisites and co-requisites | None | | Mode of Delivery | Face to face | | Contact Hours | 14 weeks - 3 hours of lectures per week | | Lecturer | -- | | Co-Lecturer | None | | Language of instruction | Turkish | | Professional practise ( internship ) | None | | | | The aim of the course: | | The basic theory of plasticity including the mathematical fundamentals, in particular tensor algebra and analysis, and emphasis on the elasto-plastic problems for materials with strain hardening. |
| Programme Outcomes | CTPO | TOA | | Upon successful completion of the course, the students will be able to : | | | | PO - 1 : | obtain the elastic and plastic behavior of the materials | 1,5,11 | 1,3 | | PO - 2 : | learn about the yield criteria of the materials | 1,5,11 | 1,3 | | PO - 3 : | analyze the plastic stress-strain and their relations | 1,5,11 | 1,3 | | PO - 4 : | solve the some elastic-plastic problems | 1,5,11 | 1,3 | | CTPO : Contribution to programme outcomes, TOA :Type of assessment (1: written exam, 2: Oral exam, 3: Homework assignment, 4: Laboratory exercise/exam, 5: Seminar / presentation, 6: Term paper), PO : Learning Outcome | | |
| The Physics of plasticity, Dynamics and kinematics models, Analysis of stress, Analysis of strain, Yield criteria, Plastic stress-strain relations, The plane elasto-plastic problems, Slip line theory |
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| Course Syllabus | | Week | Subject | Related Notes / Files | | Week 1 | Mathematical Fundamentals, Physics of Plasticity | | | Week 2 | Stress Tensor | | | Week 3 | Deviatoric and Hydrostatic Stress Tensors | | | Week 4 | Lagrange ve Eulerian Strain Tensors | | | Week 5 | Deviatoric Strain Tensor, Compatibility of Strain | | | Week 6 | Elastic Stress-Strain Relations, Dynamic ve Kinematic Models | | | Week 7 | Criteria for Yielding | | | Week 8 | Haigh-Westergaard Stress Space, Loading and Unloading | | | Week 9 | Mid-term exam | | | Week 10 | Plastic Stress-Strain-Relations | | | Week 11 | Elastoplastic Problems | | | Week 12 | Plane Elastoplastic Problems | | | Week 13 | Elastoplastic Torsion | | | Week 14 | The Slip-Line Field Theory | | | Week 15 | The Slip-Line Field Theory | | | Week 16 | End-of-term exam | | | |
| 1 | Mendelson, A., 1986, Plasticity Theory and Application, Robert E. Krieger Publishing Company, Florida. | | | 2 | Hill, R., 1989, The Mathematical theory of Plasticity, Clarendon Press, Oxford. | | | 3 | Akhtar, S.K., Sujian, H., 1995, Continuum Theory of Plasticity, John Wiley and Sons, Inc., New York. | | | |
| Method of Assessment | | Type of assessment | Week No | Date | Duration (hours) | Weight (%) | | Mid-term exam | 9 | 21/11/2012 | 2 | 30 | | Homework/Assignment/Term-paper | 4
6
11
13 | 17/10/2012
31/10/2012
12/12/2012
26/12/2012 | 1
1
1
1 | 20 | | End-of-term exam | 16 | 16/01/2013 | 2 | 50 | | |
| Student Work Load and its Distribution | | Type of work | Duration (hours pw) | No of weeks / Number of activity | Hours in total per term | | Yüz yüze eğitim | 3 | 14 | 42 | | Sınıf dışı çalışma | 3 | 14 | 42 | | Arasınav için hazırlık | 8 | 2 | 16 | | Arasınav | 2 | 1 | 2 | | Ödev | 8 | 4 | 32 | | Dönem sonu sınavı için hazırlık | 8 | 3 | 24 | | Dönem sonu sınavı | 2 | 1 | 2 | | Diğer 1 | 3 | 14 | 42 | | Total work load | | | 202 |
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