Nonlinear Analysis of Materials and Structures

Course guarantor:

Lecturer:

Tutor:

Supervisor:

Department of Mechanics

Synopsis:

Students become acquainted with the concepts of linear stability and calculation of elastoplastic load capacity. Linear stability - evaluation of the critical load and buckling shape. Analysis of structures according to the 2nd order theory - equilibrium conditions on a deformed structure, initial stress matrix. Elastoplastic analysis of structures - evaluation of the limit load capacity, distribution of internal forces at the limit state - static incremental method, kinematic method. Solving stability and elastoplasticity problems by means of a general-purpose finite element program.

Requirements:

Elementary knowledge of English.

Syllabus of lectures:

1-4: Linear stability and 2nd order theory

5-8: Elastoplastic analysis

9-12: Solution algorithms for nonlinear problems, calculations using programs

13: Assessment

Syllabus of tutorials:

1-4: Linear stability and 2nd order theory

5-8: Elastoplastic analysis

9-12: Solution algorithms for nonlinear problems, calculations using programs

13: Assessment

Study Objective:

Students will be able to evaluate the critical load, structural response according to the 2nd order theory, and limit load capacity on simple frame structures by analytical calculations. For more complex problems, they will be able to perform nonlinear calculations using a general purpose finite element program.

Study materials:

[1] Máca J., Konvalinka P.: CAL - doplňkové skriptum, Vydavatelství ČVUT, Praha, 2003.

[2] Jirásek M., Zeman J.: Přetváření a porušování materiálů. Vydavatelství ČVUT, Praha, 2006.

[3] Bathe K.J.: Finite Element Procedures, Prentice Hall, 2006.

[4] Bažant Z.P., Cedolin L.: Stability Of Structures: Elastic, Inelastic, Fracture And Damage Theories, World Scientific Publishing Company, 2010.

[5] ADINA R&D, ADINA Theory and modeling guide.

Note:

Further information:

https://mech.fsv.cvut.cz/cgi-bin/homeworks/student/student-identification?course=YSAK

No time-table has been prepared for this course

The course is a part of the following study plans: