At the end of this course, the students; 1) To learn the general equations valid for continuous media. 2) To solve the general equations valid for continuous media using tensor algebra. 3) Knowledge of deformation mechanic fundamentals. 4) Get knowledge about the interaction between material spaces and thermo mechanic outer loadings.
MODE OF DELIVERY
Face to face
PRE-REQUISITES OF THE COURSE
No
RECOMMENDED OPTIONAL PROGRAMME COMPONENT
None
COURSE DEFINITION
Vectors, matrices, tensors, integral theories. Coordinate transformations, tensor invariants. Deformation kinematics, length, angle, area and volume interchanges, strain tensors, substantial differentials of tensors. Deformation rates, rotation, inner and outer forces, Principle of Cauchy and stress tensors. Fundamentals of continua and energy. Constitutive equations.
COURSE CONTENTS
WEEK
TOPICS
1st Week
Coordinate systems, Base Vectors, Tensors
2nd Week
Deformation Gradient and Tansor. Deformastion Tansor Transformation
3rd Week
Principle stresses
4th Week
Differential of Movement, Line, Area and Components
5th Week
Line, Surface and Volume Integrals Derivative.
6th Week
Prime Laws of Mechanics of Continua.
7th Week
Mass Conservation and Continua Equation.
8th Week
Linear and Angular momentum principles.
9th Week
Conservation of Energy, Second rule of Thermodynamic.
10th Week
Entropy Second rule of Thermodynamics
11th Week
Local Balance Laws,
12th Week
Restriction of Thermodynamics on Elastic Solid Behaviour.
13th Week
Restrictions of Thermodynamics on Viscose Flow Behaviour.
14th Week
Constitutive Equations.
RECOMENDED OR REQUIRED READING
Şuhubi, E. S., (1994). Sürekli Ortamlar Mekaniği (Giriş). İTÜ Fen-Ed. Fak. Yayınları. Dawson, T. H. (1976). Theory and Practice of Solid Mechanics. Plenum.
