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Course Information

Course Name
Turkish Plastisite Teorisi
English Theory of Plasticity
Course Code
YAP 616E Credit Lecture
(hour/week)
Recitation
(hour/week)
Laboratory
(hour/week)
Semester 2
3 3 - -
Course Language English
Course Coordinator Oğuz Güneş
Course Objectives 1. To present the fundamental principles and mathematical methods of plasticity theory
2. To present plasticity models appropriate for different materials and problems
3. To perform limit analysis of various structural elements using plasticity methods
4. To present and implement numerical methods used for solution of plasticity problems
Course Description Physical foundations of plasticity theory, concepts and definitions. Mathematical foundations, elastic/plastic deformations, stress tensor and its invariants. Incremental and total strain theories of plasticity. Yield criterion, flow rule and hardening/softening rules. Tresca, von Mises, Drucker-Prager and other yield criteria. Isotropic, kinematic and combined hardening rules. Cyclic loading, loading rate and temperature effects. Uniqueness and extremum principles, energy methods. Limit analysis, lower and upper bound theorems. Plastic analysis of frame, plate and shell elements. Dynamic plasticity and viscoplasticity. Numerical solution of plasticity problems using finite difference and finite element methods.
Course Outcomes Students who successfully complete the course will acquire the following knowledge and skills:
1. Knowledge of fundamental concepts and methods of plasticity theory
2. Knowledge of plasticity models appropriate for different materials and structures
3. Ability to perform plastic and limit analysis of frame, plate and shell elements
4. Knowledge of dynamic plasticity, viscoplasticity and energy methods
5. Knowledge and implementation of numerical methods used for solution of plasticity problems.
Pre-requisite(s) None
Required Facilities
Other
Textbook Lubliner, J. (2008), Plasticity Theory, Dover Publications, Inc., New York.
Other References (1) Kachanov, L.M. (2004), Fundamentals of the Theory of Plasticity, Dover Publications
(2) Borja, R.I. (2013), Plasticity Modeling and Computation, Springer/
(3) Doltsinis, I. (2010), Elements of Plasticity Theory and Computation, 2nd Ed., WIT Press.
(4) Chen, W.-F. (2007), Plasticity in Reinforced Concrete, J. Ross Publishing.
(5) Nielsen, M.P., Hoang, L.C. (2011), Limit Analysis and Concrete Plasticity, CRC Press.
 
 
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