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Prof. Roberto Brighenti

Parma, 21 April- 19 May 2022

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General info
The course is organised in presence (Teaching hall 'N', engineering building, Science & Technology campus, Univ. of Parma)  and in streaming (by using Teams). 2 ECTS will be recognized upon passing a final oral exam. Students will be asked to prepare a short report - deepening one of the topics covered in the course or a topic at their choice related to the contents of the course - to be presented and discussed with the teacher in a final oral discussion. The dates of the oral exam will be communicated during the course.

Link to the registration form
(deadline for registration: 19th April 2022, 5:00 PM). The Registration is free of charge. Meals are not included.
Language: English
The green pass is mandatory and the current legislation on Covid-19 will be respected.

Timetable
21st April 2022, 9:30-12:30
28th April 2022, 9:30-12:30
12th May 2022, 9:30-12:30
19th May 2022, 9:30-12:30

Venue
The lessons in presence will take place at the Campus of the University of Parma, teaching hall 'N', engineering building.
Address: Parco Area delle Scienze, 43124, Parma, PR

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Detailed Program
CHAPT. 1 - INTRODUCTION TO NONLINEAR PROBLEMS
CHAPT. 2 - BASIC ASPECTS OF NONLINEAR MECHANICS
CHAPT. 3 - SOLUTIONS OF NON-LINEAR PROBLEMS, ITERATIVE METHODS, CONVERGENCE CRITERIA (Example: nonliner elastic problem)
CHAPT. 4 - INTRODUCTION TO PLASTICITY (Example: 1D elastic-plastic problem)
CHAPT. 5 - SIMULATION OF CONTACT PROBLEMS
CHAPT. 6 - SOLUTION OF MECHANICAL NON-LINEAR PROBLEMS WITH FINITE ELEMENTS


Syllabus

Recommended texts:

  •  G.A. Holzapfel. Nonlinear solid mechanics: a continuum approach for engineering. Wiley, 2000.
  •  T. Belytschko, W.K. Liu, B. Moran, K. Elkhodary. Nonlinear Finite Elements for Continua and Structures, 2nd Edition, Wiley, 2013.
  •  P. Wriggers. Nonlinear Finite Element Methods. Springer, 2008.
  •  R. De Borst, M.A. Crisfield, J.J.C. Remmers, C.V. Verhoosel. Nonlinear Finite Element Analysis of Solids and Structures, 2nd Edition, Wiley, 2012.
  •  D.R.J. Owen, E. Hinton. Finite elements in plasticity: theory and practice. Pineridge Press, 1980.
  •  R. Brighenti, Analisi numerica dei solidi e delle strutture: fondamenti del Metodo degli Elementi Finiti. Esculapio Editore (Bologna), III Ed., 2019 (ISBN: 9788893851114).
  •  Lecture notes provided by the teacher.
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