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INS7540 | Continuum Mechanics | 3+0+0 | ECTS:7.5 | Year / Semester | Spring Semester | Level of Course | Third Cycle | Status | Elective | Department | DEPARTMENT of CIVIL 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 aim of this course is to help students understand the principles, methods and applications of continuum mechanics. |
Programme Outcomes | CTPO | TOA | Upon successful completion of the course, the students will be able to : | | | PO - 1 : | understand the fundamental principles of continuum mechanics. | 1,5 | 1,3 | PO - 2 : | analyse continuum mechanics using tensor analysis. | 1,5 | 1,3 | PO - 3 : | understand the concepts on stress and strain in three-dimension domain. | 1,5 | 1,3 | PO - 4 : | understand the advanced topics in elasticity and Lagrangian rigid body dynamics. | 1,5 | 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 | |
Linear transformations, Matrix calculus, Tensor concept and tensor calculus, Tensor analysis, Nonlinear continuum mechanics, Definitions and principles, Strain, Stress, Theory of elasticity. |
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Course Syllabus | Week | Subject | Related Notes / Files | Week 1 | Introduction, Linear transformations | | Week 2 | Matrix calculus | | Week 3 | Tensor concept and tensor calculus | | Week 4 | Tensor calculus | | Week 5 | Tensor calculus | | Week 6 | Tensor analysis | | Week 7 | Tensor analysis | | Week 8 | Nonlinear continuum mechanics, Definitions and principles | | Week 9 | Mid-term exam | | Week 10 | Nonlinear continuum mechanics, Definitions and principles | | Week 11 | Nonlinear continuum mechanics, Motion, Strain, Stress | | Week 12 | Nonlinear continuum mechanics, Motion, Strain, Stress | | Week 13 | Nonlinear continuum mechanics, Motion, Strain, Stress | | Week 14 | Theory of elasticity | | Week 15 | Theory of elasticity | | Week 16 | End-of-term exam | | |
1 | Şuhubi, E. S. 1994; Sürekli Ortamlar Mekaniğine Giriş, İTÜ
| | 2 | Şuhubi, E. S. 1965; Sürekli Ortamların Lineer Olmayan Mekaniğine Giriş, İTÜ
| | 3 | Cinemre, V.1967; Sürekli Ortamlar Mekaniğine Giriş, İTÜ
| | 4 | Eringen,C. 1967; Mechanics of Continua, John Wiley | | |
1 | Eglit,M.E., Hodges, D. H. 1996; Continuum Mechanics Vie Problems and Exercises, World Scientific Printers | | 2 | Malvern, L. E.1969; Introduction to the Mechanics of Continua, Prentice-Hall | | 3 | Heinbockel, J. H. 1996; Introduction to Tensor Calculus and Continuum Mechanics | | 4 | George, E. Mase, 1970; Theory and Problems of Continuum Mechanics, McGraw-Hill | | |
Method of Assessment | Type of assessment | Week No | Date | Duration (hours) | Weight (%) | Mid-term exam | 9 | | 2 | 30 | Homework/Assignment/Term-paper | 2 4 9 12 | | 10 10 10 10 | 20 | End-of-term exam | 16 | | 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 | Ödev | 10 | 4 | 40 | Total work load | | | 40 |
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