Solid mechanics

ME-331 / 4 credits

Teacher: Kolinski John Martin

Language: 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)

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

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
  • Lecture: 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
  • Lecture: 3 Hour(s) per week x 14 weeks
  • Exercises: 1 Hour(s) per week x 14 weeks
  • Type: optional

Reference week

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