Coursebooks

Advanced solid mechanics

ME-437

Lecturer(s) :

Curtin William

Language:

English

Summary

This course will cover major topics of importance and value for the application and understanding of Solid Mechanics, aiming especially at the micromechanical analyses of problems that connect small scale phenomena to macroscopic engineering performance.

Content

The course will be topical but evolving in a natural flow.  Topics will include:

Anisotropic Elasticity: beyond isotropic elasticity

Homogenization methods: the connection between microstructure of a material and the macroscopic effective properties that can be used in continuum analyses

Laminate theory: the special case of fiber composites as layered anisotropic materials, connecting fiber/matrix properties to macroscopic structural response.

Inclusions and Eshelby analysis: stresses and strains around particles embedded in a matrix and undergoing transformations that affect functional performance and failure, with connections to homogenization theory.

Fracture mechanics: basic understanding of the driving forces for crack growth, from both energy and stress perspectives, with advanced concepts for implementation in numerical methods.

Other topics such as Contact Mechanics may be covered as interest and time permit.

Keywords

Mechanics, Elasticity, Homogenization, Laminate theory, Composites, Fracture, Contact, Dislocations, Applied Mechanics, Theory, Computational Mechanics

Learning Prerequisites

Required courses

ME-331: Solid Mechanics, or equivalent course using tensor-based mechanics analyses

Important concepts to start the course

Definitiions of stress and strain

Mechanical equilibrium

Isotropic elasticity (Hooke's Law)

Boundary value problems in small-strain elasticity

Second-rank tensors: properties and applications in mechanics

Index notation

Learning Outcomes

By the end of the course, the student must be able to:

Transversal skills

Teaching methods

Lectures on mechanics theory

Examples to illustrate theory and application

Exercises for cementing and applying new knowledge

Course will include "mini-projects" on several of the course topics

Expected student activities

In-class participation

Collaborative problem solving

Execution of mini-projects

 

Assessment methods

Graded mini-projects

Final written exam

Supervision

Office hours Yes
Assistants Yes
Forum Yes

Resources

Virtual desktop infrastructure (VDI)

No

Notes/Handbook

To be provided

In the programs

Reference week

 MoTuWeThFr
8-9     
9-10BS160    
10-11    
11-12     
12-13     
13-14     
14-15     
15-16     
16-17 CM1100
CM1103
   
17-18 CM1100
CM1103
   
18-19    
19-20    
20-21    
21-22    
 
      Lecture
      Exercise, TP
      Project, other

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  • Autumn semester
  • Winter sessions
  • Spring semester
  • Summer sessions
  • Lecture in French
  • Lecture in English
  • Lecture in German