Course Information

Course Name	Turkish	Hes. Sürekli Ortamlar Mekaniği
	English	Computational Continuum Mechanics
Course Code	MAT 374	Credit	Lecture (hour/week)	Recitation (hour/week)	Laboratory (hour/week)
Semester	6	3	3	-	-
Course Language		Turkish
Course Coordinator		Ahmet Kırış
Course Objectives		To teach indices notation, vector and tensor algebra. To teach the basic equations of deformation and motion of a continuum. To provide the concepts of stress vector and stress tensor. To obtain the equation of conservation of mass, momentum, angular momentum and energy. To give constitutive equations of isotropic elastic solids. To teach basic concepts of work, energy, virtual work, strain and kinetic energy. To solve some basic problems of deformation of elastic beams, plane waves and plate vibration. To model and solve continuum mechanics problems with MATLAB.
Course Description		Index and Vector Notation, Scalar, Vector and Tensor Concepts, Summation Convention. Deformation, Length and Angle Changes, Area and Volume Changes, Strain Invariants, Principal Axes. Simulation of Deformation with MATLAB. Kinematics, Velocity, Acceleration, Material Derivative, Kinematics of Volume Integral. Stress, Stress Vector and Stress Tensor, Principal Stresses. MATLAB Applications Related with Stress. Compatibility Conditions. Conversation Laws, Conservation of Mass and Balance of Momentum, Angular Momentum and Energy. Constitutive Equation of Isotropic Elastic Solid. Work and Energy, Virtual work, Strain and Kinetic energy, Ritz Energy Method. Some MATLAB Applications, Deformation of Elastic Beam, Plane Elastic Waves, Plate Vibration.
Course Outcomes		Students completing this course will be able to: Derive formulas in index and vector notation, Apply vector and tensor operations, Understand and apply the basic definitions and equations of deformation and motion of a continuum, Understand the concepts of stress tensor and stress vector of a continuum, Understand and apply the equations of conservation of mass, momentum, angular momentum and energy, Obtain constitutive equations of isotropic elastic solids, Understand concepts of work, energy, virtual work, strain and kinetic energy, Solve the basic problems on deformation of elastic beams, plane waves and plate vibration, Gain skills for modeling and solutions of continuum mechanics problems with MATLAB.
Pre-requisite(s)		(MUH201 / MUH201 - E / DNK201 / DNK201 - E / MAT303 / MAT303 - E min DD) & (MAT232 / MAT232 - E / MAT210 / MAT210 - E min DD)
Required Facilities
Other
Textbook		Şuhubi E. S., Sürekli Ortamlar Mekaniği (Giriş), İTÜ Rektörlüğü, 1993. Lai M., Krempl E., Ruben D., Introduction to Continuum Mechanics, Elsevier, 2010.
Other References		Shabana A. A., Computational Continuum Mechanics, 3E, Wiley, 2018. 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.

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