# Fiches de cours 2016-2017

## Solid mechanics

Curtin William

English

#### Summary

Model the behavior of elastic, viscoelastic, and inelastic solids both in the infinitesimal and finite-deformation regimes.

#### Content

This course will articulate the behavior of elastic, viscoelastic, and inelastic solids both in the infinitesimal and finite-deformation regimes. Exact and approximate solutions to initial and boundary-value problems will be employed to analyze the stress and strain state of a finite body under different assumptions. The time/frequency dependence of viscoelastic materials will be presented. Certain constitutive models for strain and stress fields associated with permanent deformations are also analyzed.

#### Keywords

Large deformations, Elasticity, Viscoelasticity, Plasticity.

#### Learning Prerequisites

##### Required courses

• Mechanics of Structures II (ME-232)
• Mechanics of continuous media (ME-201)

##### Important concepts to start the course

Theory of ordinary differential equations

Theory of partial differential equations

Vector/Tensor operations and properties

#### Learning Outcomes

By the end of the course, the student must be able to:
• Apply the concepts of rigid and deformable body mechanics and of continuum mechanics to model and solve analytically problems of statics, structural stress analysis or simple mechanisms, S1;
• Describe and identify the constitutive behaviour of a material from the results of a tensile, torsion or bending test and choose a suitable test standard for the characterization of such behaviour. Derive a rheological model appropriate for the observed response, S5;
• Model with appropriate tools (analytical or numerical) the nonlinear (hyperelastic, plastic, buckling) and/or time-dependent (viscoelastic, viscoplastic) behaviour of structures and material under complex loadings, S12.

#### Transversal skills

• Plan and carry out activities in a way which makes optimal use of available time and other resources.
• Continue to work through difficulties or initial failure to find optimal solutions.
• Take feedback (critique) and respond in an appropriate manner.

Ex-cathedra

Homework

#### Assessment methods

There will be a midterm exam worth 30% and a written final exam worth 70& of the grade.

#### Supervision

 Office hours Yes Assistants Yes Forum Yes

#### Resources

##### Notes/Handbook

A. Bower, Applied Mechanics of Solids, CRC Press, 2009

#### Prerequisite for

Computational Solid and Structural Dynamics (ME-473)

Fracture mechanics (ME-432)

Mechanics of composites (ME 430)

### Semaine de référence

LuMaMeJeVe
8-9
9-10
10-11 ELA2
11-12 ELA2
12-13CE5
13-14
14-15
15-16
16-17
17-18
18-19
19-20
20-21
21-22

Cours
Exercice, TP
Projet, autre

### légende

• Semestre d'automne
• Session d'hiver
• Semestre de printemps
• Session d'été
• Cours en français
• Cours en anglais
• Cours en allemand