Description of Individual Course Units
Course Unit CodeCourse Unit TitleType of Course UnitYear of StudySemesterNumber of ECTS Credits
9103067062016Tjeory of Elasticity IIElective128
Level of Course Unit
Second Cycle
Objectives of the Course
The main objective of this course is to introduce the student to the analysis of linear elastic solids once subjected mechanical and thermal loads. Initially, the fundamental concepts of elasticity theories will be presented. Then, it will be focused on constitutive elastic models. The concepts demonstrated in this course will help understanding of constitutive material models mostly used in continuum mechanics such as linear-nonlinear elastic, viscoelastic-viscoplastic and hyperelastic models that are important in engineering practice and design. Finally, it is focused on determination of material constants and validation of the developed material model using the numerical finite element technique. It is supposed that, the topics carried out in this course will provide a foundation for characterization processes of engineering materials.
Name of Lecturer(s)
Yrd. Doç. Dr. Mahmut PEKEDİS
Learning Outcomes
1Understanding of application of elasticity concepts on engineering problems.
2Understanding of the main concepts constitutive material models
3Ability of solution the elasticity problems with various techniques
4Understanding of constitutive material models mostly used in continuum mechanics such as linear-nonlinear elastic, viscoelastic-viscoplastic and hyperelastic models.
5Understanding of validation the theoretical model results with numerical techniques.
Mode of Delivery
Face to Face
Prerequisites and co-requisities
None
Recommended Optional Programme Components
None
Course Contents
1- Analysis of stress and strain in three dimensions: Principal stresses, Determination of principal stresses, Determination of maximum shearing stresses, Strain at a point, Principal axes of strain. 2- Elementary problems of elasticity in three dimensions: Uniform stress, Stretching of a prismatical bar by its own weight, Twist of circular shafts of constant cross section. 3- Torsion: Torsion of prismatical bars, bars with elliptical cross section, membrane analogy, torsion of a bar of narrow rectangular cross section. 4- Torsion: Torsion of non-circular bars, solution of torsional problems by energy method, torsion of hollow shafts, torsion of thin tubes. 5- Bending of prismatical bars: Bending of a cantilever beam, stress function, bending of circular, elliptical and non-circular cross sectional beams. 6- Introduction to material modeling: Forces, Equilibrium laws, mass, conservation principle of linear and angular momentum and constitutive models. 7- Elastic material models: Finite thermoelastic, hyperelastic, linear thermoelastic material models, uniaxial tension test, prediction of parameters using curve fitting techniques. 8- Material model Validations: Fundamental of the finite element technique, extracting the stress-strain curve on a single element and validation of these results with experimental data.
Weekly Detailed Course Contents
WeekTheoreticalPracticeLaboratory
1Analysis of stress and strain in three dimensionTheoretical
2Analysis of stress and strain in three dimensionTheoretical
3Analysis of stress and strain in three dimensionTheoretical
4Analysis of stress and strain in three dimensionTheoretical
5TorsionTheoretical
6TorsionTheoretical
7Bending of prismatical barsTheoretical
8Midterm
9Introduction to material modelingTheoretical
10Introduction to material modelingTheoretical
11Elastic material modelsTheoretical
12Elastic material modelsTheoretical
13Elastic material modelsTheoretical
14Material model ValidationsTheoretical
15Material model ValidationsTheoretical
16Final
Recommended or Required Reading
1. S.P. Timoshenko, J.N. Goodier, Theory of Elasticity. McGraw-Hill, 3rd Edition, Singapore, 1984. 2. A.C. Ugural, S. K. Fenster, Advanced Strength and Applied Elasticity, Prentice Hall, 2003. 3. Capaldi F.M., Continuum Mechanics Constitive Modelling of Structural and Biological Materials, Cambridge University Press, USA, 2012 4. Mase G.T., Mase G.E., Continuum Mechanics For Engineers, CRC Press, Florida, USA, 1999.
Planned Learning Activities and Teaching Methods
Assessment Methods and Criteria
Term (or Year) Learning ActivitiesQuantityWeight
SUM0
End Of Term (or Year) Learning ActivitiesQuantityWeight
SUM0
SUM0
Language of Instruction
Turkish
Work Placement(s)
None
Workload Calculation
ActivitiesNumberTime (hours)Total Work Load (hours)
Midterm Examination11010
Final Examination11010
Attending Lectures14342
Individual Study for Mid term Examination10990
Individual Study for Final Examination10990
TOTAL WORKLOAD (hours)242
Contribution of Learning Outcomes to Programme Outcomes
PO
1
PO
2
PO
3
PO
4
PO
5
PO
6
PO
7
PO
8
PO
9
PO
10
PO
11
PO
12
PO
13
PO
14
LO155  455  5    
LO254  455  5    
LO354  454  5    
LO454  455  5    
LO554  455  5    
* Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High
 
Ege University, Bornova - İzmir / TURKEY • Phone: +90 232 311 10 10 • e-mail: intrec@mail.ege.edu.tr