NONLINEAR ANALYSIS OF STRUCTURES

NONLINEAR ANALYSIS OF STRUCTURES

_
iten
Code
66265
ACADEMIC YEAR
2019/2020
CREDITS
5 credits during the 1st year of 10799 CIVIL ENGINEERING (LM-23) GENOVA
SCIENTIFIC DISCIPLINARY SECTOR
ICAR/08
TEACHING LOCATION
GENOVA (CIVIL ENGINEERING)
semester
2° Semester
Teaching materials

OVERVIEW

The course deals with the nonlinear response of solids and structures with focus on problems characterized by geometric and material nonlinearities. The problems are solved using analytical and numerical approaches through the finite element method. Numerical applications are presented using the finite element code ANSYS.

AIMS AND CONTENT

LEARNING OUTCOMES

AIMS AND LEARNING OUTCOMES

Basic knowledge to evaluate the ultimate load-bearing capacity of solids and structures using nonlinear analyses. Analytical and numerical approaches to treat material and geometrical nonlinearities.

Teaching methods

Lectures and laboratory sessions using the finite element code ANSYS.

SYLLABUS/CONTENT

The finite element method: introduction; brush up on the direct stiffness method (bar and MOM element and trusses), the variational formulation (bar element), plane stress and isoparametric elements and shape functions; finite element modeling; the nonlinear bar element; finite element solution of nonlinear problems: geometric nonlinearities; linearized buckling; post-buckling; plasticity; constraints and contact; continua with cracks. The finite element code ANSYS, introduction and applications. 

Stability and Buckling: basic concepts and response diagrams; stability of systems with n degrees of freedom; stability of trusses and frames; Von Mises arch and snapping instability. Applications with ANSYS.   

The elasto-brittle solid (introduction to fracture mechanics): stress concentration and intensification; fracture criteria; ductile-brittle transition in the structural collapse. Applications with ANSYS.  

The elasto-plastic solid: incremental analysis and limit analysis. Applications with ANSYS 

RECOMMENDED READING/BIBLIOGRAPHY

  • Felippa C.A, Introduction to Finite Element Methods, University of Colorado at Boulder, sito web prof. Felippa.
  • Felippa C.A., Nonlinear Finite Element Methods, University of Colorado at Boulder, sito web prof. Felippa.
  • L. Nunziante, L. Gambarotta, A. Tralli, Scienza delle costruzioni, McGraw-Hill.
  • Carpinteri A., Scienza delle Costruzioni 1,2, Pitagora Editrice, Bologna.
  • L. Corradi dell'Acqua, Meccanica delle strutture vol. 3, McGraw-Hill.
  • Z.P. Bazant, L. Cedolin, Stability of structures, Oxford Press.
  • M. Jirasek, Z. P.Bazant, Inelastic analysis of structures, Wiley.
  • Carpinteri A., Meccanica della Frattura, Pitagora

 

 

TEACHERS AND EXAM BOARD

Ricevimento: Office hours during the semester will be defined in the first week of classes. Office hours outside the semester can be requested through email: roberta.massabo@unige.it

Exam Board

ROBERTA MASSABO' (President)

SIMONE CAFFE' (President)

LESSONS

Teaching methods

Lectures and laboratory sessions using the finite element code ANSYS.

EXAMS

Exam description

The exam consists in :

a) four mid-term quizzes and a final oral exam (three-four questions, solution of simple problems and applications);

b) a written report on a take-home lab exam (solution of a nonlinear problem using the finite element code ANSYS)

The take-home lab exams may have different levels of complexity:

Lab exam B: solution of a basic problem, similar to those solved in class, presented in the tutorials on the course website or in ANSYS verification manual

Lab exam H: solution of a problem which requires the use of different techniques or different ANSYS commands or some analytical derivations for verification. This second option is reserved to students who are interested in deepening their knowledge on the solution of nonlinear problems, on the use of FEM codes or in tackling an applied problem

Assessment methods

Final grade composed of:

class quizzes and oral discussion (50%) and take-home Lab exam (50%) 

 

Exam schedule

Date Time Location Type Notes
17/06/2020 09:00 GENOVA Orale aula A7
14/07/2020 09:00 GENOVA Orale aula A7