Docente/i: Alessandro Reali  

Denominazione del corso: Nonlinear computational mechanics
Codice del corso: 504989
Corso di laurea: Bioingegneria, Ingegneria Civile
Sede: Pavia
Settore scientifico disciplinare: ICAR/08
Crediti formativi: CFU 6
Sito web del corso: n.d.

Obiettivi formativi specifici

This course aims at giving a concise introduction to the basic concepts of nonlinear mechanics of solids and at providing the basic ingredients to perform simulations of solid mechanics problems at large strains via the finite element method.

Programma del corso

Basics of nonlinear mechanics

• Kinematics
• Equilibrium
• Hyperelastic constitutive laws

Elements of numerical analysis

• Solution of nonlinear equations and systems
• Matlab implementation of basic algorithms

Nonlinear finite elements

• Basic concepts
• Application to 1D rods at large strains (and Matlab implementation)
• Application to 2D plane strain problems at large strains (and Matlab implementation)
• Use of a commercial nonlinear finite element code

Prerequisiti

A good knowledge of the basic concepts given within the courses of Mechanics of Solids and Structures, Numerical Analysis, and Computational Mechanics is required.

Tipologia delle attività formative

Lezioni (ore/anno in aula): 45
Esercitazioni (ore/anno in aula): 0
Attività pratiche (ore/anno in aula): 0

Materiale didattico consigliato

Suggested references are (among others):

T.J.R. Hughes. The Finite Element Method: Linear Static and Dynamic Finite Element Analysis. Dover Publications.

J. Bonet, R.D. Wood. Nonlinear Continuum Mechanics for Finite Element Analysis. Cambridge University Press.

J.E. Marsden, T.J.R. Hughes. Mathematical Foundations of Elasticity. Dover Publications.

Modalità di verifica dell'apprendimento

Homework evaluation + oral discussion