Kiarash M. Dolatshahi

Nonlinear Modeling of Structures and Materials

Syllabus

Schedule:

Lectures: Saturday, Monday; 7:30-9:00

Grading:

Homework 25%
Final exam 50%
Project 25%

Exam dates:

Final: Khordad 16th - 9:00-12:00

Lecture Topics:

·      • An overview on matrix structural analysis (direct stiffness method, PVD, PVF)
• Nonlinear behavior of truss element
• Numerical procedures
    o Implicit procedures
    o Explicit procedures
    o Forced-controlled loading
    o Displacement-controlled loading
• Nonlinear behavior of beam element (fiber- hinge)
    o Steel brace
    o Steel beam (monotonic - cyclic)
    o Concrete beam (monotonic - cyclic)
• Dynamic nonlinear analysis of beam elements
• Geometric nonlinearity in truss and beam elements
    o Buckling
    o Large displacements (corotational – P-D)
• An overview on finite element method (accompanied with coding)
    o Axisymmetric, plane stress and plain strain problems
• An overview on plasticity in solid elements with finite element implementation
• Constitutive material models
    o Steel (Von Mises)
    o Saturated and unsaturated soil (Cam-Clay)
    o Concrete
    o Masonry

Texts:

• Bathe, K.J. (1996), Finite Element Procedures, Prentice Hall, Englewood Cliffs, NJ.
• McGuire, W. (1999), Matric structural analysis, Wiley
• Crisfield M. A. (1996), Non-linear finite element analysis of solids and structures, Wiley
• Chen W. F. (1985), Soil Plasticity: Theory and Implementation, Elsevier Science
• Chen W. F. (1981), Plasticity for structural engineers, Springer
• Owen D. R. and Hinton E. (1981), Finite elements in plasticity, McGraw hill
• Simo J.C. and Hughes TJ.R. (1997), Computational Inelasticity, Springer

Lecture Notes

HWs