
Dettaglio Insegnamento
Anno Accademico 
2021/2022 
Corso di Studi 
Dott.  MI (1384) Ingegneria Strutturale, Sismica, Geotecnica / Structural Seismic and Geotechnical Engineering 
Anno di Corso 
1 
Codice Identificativo 
051859 
Denominazione Insegnamento 
NONLINEAR SOLID MECHANICS 
Tipo Insegnamento 
MONODISCIPLINARE 
Crediti Formativi Universitari (CFU) 
5.0 
Programma sintetico 
Rigorous introduction to nonlinear solid mechanics, especially addressing finite kinematics, material frame indifference, constitutive models within a thermodynamic framework. Analysis of nonlinear material behaviors: hyperelasticity, elastoplasticity, viscosity.
Specific topics:
1Kinematics of deformations. Transformations, motions, kinematics of local deformation. Finite rotations, the polar decomposition.
2Conservation laws. Conservation of mass. Conservation of linear momentum. Conservation of angular momentum. Conservation of energy. The principle of virtual work. Basic on thermodynamics for constitutive laws.
3Constitutive theories. ColemanNoll's theory of equilibrium constitutive equations. Material frame indifference. Thermodynamic potentials (Helmoltz, Enthalpy, Gibbs energy). Kinetic relations. Material classification.
4Finite hyperelasticity. Elastic symmetry. Internal constraints. Elastic materials: isotropic, transversally isotropic, anisotropic materials.
5Finite plasticity. Multiplicative decomposition of the deformation gradient. Exponential and logarithmic mapping. J2 plasticity. Pressure dependent plasticity.
6Special materials: fiber reinforced tissues, liquid crystals.
TEACHING ORGANIZATION
The course, taking place in November  December 2017, is composed of 14 modules of 2 hours each plus a final 1hour seminar. Both blackboard and computer slides will be used. Most of the lectures will deal with theoretical explanations and proofs. One hour out of four will discuss practical examples and applications.
Standard textbooks in continuum mechanics will be adopted. Electronic copies of the lectures will be available to the attendees 24 hours before each class.
Further readings and exercise material will be suggested for each specific topic.
The learning evaluation will consist in a theoretical exam (written or oral) on the whole program to be taken under individual appointment. 
Settori Scientifico Disciplinari (SSD) 
Codice SSD

Descrizione SSD

CFU

ICAR/08

SCIENZA DELLE COSTRUZIONI

5.0


Scaglione

Docente

Programma dettagliato

Da (compreso)

A (escluso)

A

ZZZZ

Pandolfi Anna Marina


