Course Information

Course Name	Turkish	Sürekli Ortamlar Mekaniği
	English	Continuum Mechanics
Course Code	MUH 302	Credit	Lecture (hour/week)	Recitation (hour/week)	Laboratory (hour/week)
Semester	5	4	4	-	-
Course Language		Turkish
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. 5. To obtain fundamental equations of thermodynamics of continuous media. 6. To give constitutive equations of elastic solids, to give some examples. 7. To give constitutive equations of fluids, to give some examples.
Course Description		Deformation, length and angle changes, area and volume changes. Strain invariants, principal axes. Kinematics; velocity, acceleration, material derivative. Deformation rate, vorticity. Kinematics of volume integral. Stress tensor, principal stresses. Compatibility conditions. Equations of conservation of mass and balance of, momentum, angular momentum and energy. Entropy inequality, Constitutive equation of elastic solid, plane elastic waves, vibration of infinite plate. Elastic medium under large deformation. Extension and torsion of incompressible isotropic solid. Constitutive equations of fluids. Hydrostatic, Newtonian viscous fluids, Navier-Stokes equations of incompressible fluids, pathline, streamline, steady, unsteady, laminar and turbulent flow, some examples.
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. VI. Apply basic principles of thermodynamics of continua. VII. Obtain constitutive equations of elastic solids, and solve some basic problems. VIII. Obtain constitutive equations of fluids, and solve some basic problems.
Pre-requisite(s)		(MAT 122/E or MAT 142/E or MAT 210/E or MAT 261/E or MAT 262/E or MAT 281/E ve FIZ 101/E or FIZ 113/E) MIN DD
Required Facilities
Other		Students are responsible to deliver their homeworks within the indicated time.
Textbook		Lai M., Krempl E., Ruben D., Introduction to Continuum Mechanics, Elsevier, 2010.
Other References		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. Eringen A. C., Mechanics of Continua, Krieger Publishing Company, 1980. Şuhubi E. S., Sürekli Ortamlar Mekaniği (Giriş), İTÜ Rektörlüğü, 1993.

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