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Course Information

Course Name
Turkish Sürekli Ortamlar Mekaniği I
English Continuum Mechanics I
Course Code
MUH 311E Credit Lecture
(hour/week)
Recitation
(hour/week)
Laboratory
(hour/week)
Semester 1
3 - - -
Course Language English
Course Coordinator Ahmet Kırış
Course Objectives 1. To teach tensor operations and physical meaning of a tensor and its components.
2. To teach the basic equations related to the description of deformation and motion of a continuum.
3. To obtain the equation of conservation of mass, the equation of conservation of momentum, the equation of conservation of angular momentum and the equation of conservation of energy.
4. To provide the concepts of stress vector and tensor
Course Description Deformation, length and angle changes, area and volume changes. Strain invariants, principal axes, compatibility conditions. Kinematics; velocity, acceleration, material derivative, path, stream and streak lines. Deformation rate, vorticity. Kinematics of line, surface and volume integrals. Stress tensor, principal stresses. Equations of conservation of mass and balance of, momentum, angular momentum and energy.
Course Outcomes After taking this course the student should be able to:
I.Work with expressions given in indicial notation to carry out the derivative of formulas
II.Understand the physical meaning of a tensor and its components with respect to a given coordinate system and successfully apply the tensor operations .
III.Understand and apply the basic definitions and equations related to the description of deformation and motion of a continuum.
IV.Understand and apply the equations of conservation of mass, momentum angular momentum and energy.
V.Understand the concepts of stress tensor and stress vector of a plane.
Pre-requisite(s) None
Required Facilities
Other Students are responsible to deliver their homeworks within the indicated time.
Textbook Eringen A. C., Mechanics of Continua, Krieger Publishing Company, 1980.
Other References Şuhubi E. S., Sürekli Ortamlar Mekaniği (Giriş), İTÜ Rektörlüğü, 1993.
Reddy J. N., Principles of Continuum Mechanics, Cambridge Univ., 2010.
Gonzalez O. and Stuart A. M., A first course in Continuum Mechanics, Cambridge Univ, 2008.
Lai M., Krempl E., Ruben D., Introduction to Continuum Mechanics, Elsevier, 2010.
 
 
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