CE547 Elasticity
Fall 2002      
       
Instructor Name Hilmi Lus  
  Office M 3175  
  Office Hours MT 11:00-12:00  
  Tel. (212) 359 6594  
  e-mail hilmilus@boun.edu.tr  
  home page http://www.ce.boun.edu.tr/eng/people/faculty/lus/  
       
Course Data Hours    
  Location    
       
Course Description (2002 Catalog)  
CE202 Elasticity
(3+0+0)3
Kinematics of deformation, analysis of stress-strain energy. Equations of elasticity and general theorems. Methods for two dimensional boundary value problems applied to torsion, bending, and plane problems. Special problems in three-dimensional elasticity.
     
Reference Books    

Ugural, A.C., and Fenster, S.K.,"Advanced Strength and Applied Elasticity", Prentice Hall, TA405 .U42 1975. Timoshenko, S.P., and Goodier, J.N., "Elastisite Teorisi", Ari Kitapevi Matbaasi, QA931 .T5219 1969.   
Inan, M., "Cisimlerin Mukavemeti", ITÜ Vakfi. 
Timoshenko, S.P.,  "Cisimlerin Mukavemeti", Kurtulmus Matbaasi, TA405 .T5219 1956. 
Shames, I.H. and Cozzarelli, F.R., "Elastic and Inelastic Stress Analysis", Prentice Hall, TA418 .S48 1992. 
Boresi, A.P., Schmidt, R.J., and Sidebottom, O.M., "Advanced Mechanics of Materials", Wiley, TA405 .B66 1993. Fung, Y.C., "A First Course in Continuum Mechanics", Prentice Hall, QA808.2 .F85 1969. 
Boley, B.A., and Weiner, J.H., "Theory of Thermal Stresses", Wiley, TA418.58 .B64 1960.
Christensen, R.M., "Theory of Viscoelasticity: an Introduction", Academic Press, QA935 .C488 1971.
     
Class Policies    
Midterm
50%    
Final
 50%    
     
     
     
Course Outline
I.Basic Theory
Traction. Stress. Stress tensor. Equilibrium equations. Transformation of stress at a point. Stress resultants. Hydrostatic and deviatoric stress components. Stress invariants. Deformation. Strain. Compatibility. Stress Strain Relations. Material Properties. Isotropy. Orthotropy. Plane strain and plane stress.
 
II.Problems in 2D
Boundary value problems. Solution by Airy stress function. Applications in Cartesian coordinates. Transformation to polar coordinates. General solution of axisymmetric problems. Pressurized cylinders. Rotating discs. Stress concentrations. Contact stresses. Beam theory. Timoshenko shear correction. Elastic support conditions. Beams on elastic foundations.
 
III.Thermal Stresses
Constitutive relations with temperature. Effects of temperature on displacements and forces. Stress function formulation. Applications to thick walled cylinders.  Beam theory with temperature. Applications to beams.
 
IV.Torsion
Elementary theory of torsion. General solution. Membrane analogy. Thin walled tubes. Multiply connected thin walled sections.
 
V.Time Independent Inelastic Materials
Observations and definitions from 1D experiments and discussions. Applications of 1D theory to beams. Discussion of yielding in 2D and 3D. Tresca, Mohr-Coulomb, and Mises yield criterion. Applications to 2D problems. Flow rules.
 
VI.Time Dependent Inelastic Materials
Observations and definitions from 1D. Mechanical models used in linear viscoelasticity. Maxwell, Kelvin, standard solid materials. Creep and Relaxation. Superposition Integrals. Solution by Laplace transform. Shear and 3D responses. Vibration response.