Nonlinear Analysis of Materials and Structures

Garant předmětu:

Daniel Rypl

Lecturer:

Petr Kabele, Bořek Patzák, Daniel Rypl

Tutor:

Petr Kabele, Bořek Patzák, Daniel Rypl

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=YNAK

Time-table for winter semester 2023/2024:

Time-table is not available yet

Time-table for summer semester 2023/2024:

	06:00–08:0008:00–10:0010:00–12:0012:00–14:0014:00–16:0016:00–18:0018:00–20:0020:00–22:0022:00–24:00
Mon
Tue
Wed
Thu
Fri	roomTH:B-379 10:00–10:50 (lecture parallel1) Thákurova 7 (budova FSv) B379roomTH:B-379 11:00–11:50 (lecture parallel1 parallel nr.101) Thákurova 7 (budova FSv) B379

The course is a part of the following study plans:

• Stavební inženýrství, obor Konstrukce pozemních staveb (compulsory elective course)
• obor Konstrukce a dopravní stavby, zaměření Inženýrské konstrukce (compulsory elective course)
• obor Konstrukce a dopravní stavby, zaměření Dopravní stavby (compulsory elective course)
• Stavební Inženýrství - konstrukce a dopravní stavby, specializace Inženýrské konstrukce (compulsory elective course)
• Stavební Inženýrství - konstrukce a dopravní stavby, specializace Dopravní stavby a geotechnika (compulsory elective course)
• Stavební inženýrství - pozemní stavby, specializace Projektování pozemních staveb (compulsory elective course)
• Stavební inženýrství - pozemní stavby, specializace Statika pozemních staveb (compulsory elective course)