Civil Engineering |
PPT, Seminars, Homeworks
Students who were completed this course will be familiar with the basic principles of the Theory of Plasticity.
Application of the Theory of Plasticity for solving engineering problems dealing with the plastic flow. Application of the Theory of Plasticity for design of structures.
Introduction. Basic elements of ideal-plastic material. Rigid plastic material. Elementary examples of the collapse of structures in the plastic region. Basic flow rules and hardening of materials. Drucker`s postulate. Elasto-plastic plane problems. Elasto-plastic torsion. Elasto-plastic bending of beams. Numerical methods (Finite element method). Basic theorems (static and kinematic) of the Theory of Plasticity with applications. Cyclic plasticity of beams.
1. Lubarda,V.A., Sumarac,D., Krajcinovic, D.: "Preisach Model and Hysteretic Behaviour of Ductile Materials", Eur. J. Mechanics, A, Solids, 12, n0 4, 445-470, 1993.
2. Sumarac, D., Stosic, S.: "Preisach Model for the Cyclic Bending of Elastoplastic Beams", Europ. Journal of Mechanics, A/Solids, 15, n0 1, 155-172, 1996.
3. Šumarac, D. and Petrašković, Z: “Hysteretic behavior of rectangular tube (box) sections based on Preisach model“, Archive of Applied Mechanics: Volume 82, Issue 10 (2012), Page 1663-1673.
4. J. Lubliner: Plasticity Theory, Macmillan Publishing Company, 1990.