Solid mechanics
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)
Recommended courses
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:
- Model and analytically solve simple problems of statics and stress analysis, S1
- Identify the constitutive behaviour of a material from the results of a mechanical test and choose a suitable test standard, S5
- Model with analytical or numerical tools the nonlinear response of structures and materias, 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.
Teaching methods
Ex-cathedra
Expected student activities
Exercise sessions
Assessment methods
Final exam
Supervision
| Office hours | Yes |
| Assistants | Yes |
| Forum | Yes |
Resources
Ressources en bibliothèque
- J. Botsis and M. Deville, Mechanics of Continuous Media: an Introduction, PPUR, 2018
- Applied Mechanics of Solids / Bower
Notes/Handbook
A. Bower, Applied Mechanics of Solids, CRC Press, 2009
J. Botsis and M. Deville, Mechanics of Continuous Media: an Introduction, PPUR, 2018
Websites
Moodle Link
Prerequisite for
Computational Solid and Structural Dynamics (ME-473)
Fracture mechanics (ME-432)
Mechanics of composites (ME 430)
In the programs
- Semester: Spring
- Exam form: Written (summer session)
- Subject examined: Solid mechanics
- Courses: 3 Hour(s) per week x 14 weeks
- Exercises: 1 Hour(s) per week x 14 weeks
- Type: mandatory
- Semester: Spring
- Exam form: Written (summer session)
- Subject examined: Solid mechanics
- Courses: 3 Hour(s) per week x 14 weeks
- Exercises: 1 Hour(s) per week x 14 weeks
- Type: optional