Description of Individual Course Units
 Course Unit Code Course Unit Title Type of Course Unit Year of Study Semester Number of ECTS Credits 9103067062016 Tjeory of Elasticity II Elective 1 2 8
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
 1 Understanding of application of elasticity concepts on engineering problems. 2 Understanding of the main concepts constitutive material models 3 Ability of solution the elasticity problems with various techniques 4 Understanding of constitutive material models mostly used in continuum mechanics such as linear-nonlinear elastic, viscoelastic-viscoplastic and hyperelastic models. 5 Understanding 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
 Week Theoretical Practice Laboratory 1 Analysis of stress and strain in three dimension Theoretical 2 Analysis of stress and strain in three dimension Theoretical 3 Analysis of stress and strain in three dimension Theoretical 4 Analysis of stress and strain in three dimension Theoretical 5 Torsion Theoretical 6 Torsion Theoretical 7 Bending of prismatical bars Theoretical 8 Midterm 9 Introduction to material modeling Theoretical 10 Introduction to material modeling Theoretical 11 Elastic material models Theoretical 12 Elastic material models Theoretical 13 Elastic material models Theoretical 14 Material model Validations Theoretical 15 Material model Validations Theoretical 16 Final
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 Activities Quantity Weight SUM 0 End Of Term (or Year) Learning Activities Quantity Weight SUM 0 SUM 0
Language of Instruction
Turkish
Work Placement(s)
None
Workload Calculation
 Activities Number Time (hours) Total Work Load (hours) Midterm Examination 1 10 10 Final Examination 1 10 10 Attending Lectures 14 3 42 Individual Study for Mid term Examination 10 9 90 Individual Study for Final Examination 10 9 90 TOTAL WORKLOAD (hours) 242
Contribution of Learning Outcomes to Programme Outcomes
 PO1 PO2 PO3 PO4 PO5 PO6 PO7 PO8 PO9 PO10 PO11 PO12 PO13 PO14 LO1 5 5 4 5 5 5 LO2 5 4 4 5 5 5 LO3 5 4 4 5 4 5 LO4 5 4 4 5 5 5 LO5 5 4 4 5 5 5
* Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High

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