Course Details for A.Y. 2013/2014

The information on this page refer to the academic year 2013/2014. Therefore, several links are not available and data may be incomplete. To read the current information on the course, if it is still available, go to the university course catalogue . To read information relating other academic years, use the list at the bottom of this page.

A. Year:

2013/2014

Name:

Mechanics of Solids and Materials / Mechanics of Solids and Materials

Type:

Course

Basic information

Code:

I0052

Sector:

Credits:

: Laurea Magistrale in Ingegneria Matematica 6 CFU (c)

Term:

2° semestre

Degree(s):

Laurea Magistrale in Ingegneria Matematica 2° anno curriculum Comune Obbligatorio

Language:

English

Teacher(s):

Amabile Tatone

Course Objectives

To get familiar with kinematics of continuum, a suitable notion of force distribution, a general method delivering balance equations in continuum mechanics, the formal way of describing material properties and energy balance mainly for solid matter.

Course Content

Placements and motions. Rigid and affine motions. Deformation gradient, stretch and rotation. Stretching and spin. Test velocity fields and force distributions. Working and stress. Working balance principle. Balance equations. Frame indifference principle. Affine bodies. Cauchy continuum. Cauchy stress and Piola-Kirchhoff stress. Material response. Material objectivity. Symmetry group and isotropy. Elastic and hyperelastic materials. Strain energy function. Constraints and reactive stress. Incompressibility. Mooney-Rivlin and neo-Hookean materials. Dissipative stress and dissipation principle. Fluids and solids. A general scheme for describing growth and relaxation via Kroner-Lee decomposition. Remodeling forces and stress. Eshelby tensor. Viscoelasticity. Numerical simulations with Comsol Multiphysics.

Learning Outcomes (Dublin Descriptors)

On successful completion of this course, the student should

On successful completion of this module, the student should have knowledge of the basics in non linear continuum mechanics and viscoelasticity.
On successful completion of this module, the student should be able to formally describe basic and simple problems in mechanics of solids and soft matter and make use of state-of-the-art materials modelling.
On successful completion of this module, the student should be able to understand both results and procedures described in a technical report or scientific paper and to take part in a discussion on the subject with colleagues.
On successful completion of this module, the student should master the language and the use of the standard symbols and expressions which are used worldwide both in mathematics and mechanics.
On successful completion of this module, the student should be able to browse quickly or read carefully both technical and scientific papers or to attend conferences and seminars to increase his knowledge by choosing topics he may be interested in.

Prerequisites and Learning Activities

Some knowledge of linear algebra and basic notions in elementary mechanics of a pointwise body could be helpful.

Assessment Methods and Criteria

A few homework assignments and a final oral presentation and discussion about a subject related to the course topics.

Textbooks

C. Truesdell, A First Course in Rational Continuum Mechanics , Academic Press. 1977.
M. Gurtin, An Introduction to Continuum Mechanics , Academic Press. 1981.
P. Chadwick, Continuum Mechanics: Concise Theory and Problems , Dover Books on Physics. 1976.

Internet Resources

Homepage:

http://ing.univaq.it/tatone/teaching/mecsolmat_en/mecsolmat_en.php

Course page updates

This course page is available (with possible updates) also for the following academic years:

To read the current information on this course, if it is still available, go to the university course catalogue .

Course information last updated on: 12 febbraio 2014, 00:06