Advanced mechanics of materials

Welcome to this learning project about Advanced Mechanics of Materials!

Learning Project Summary

• Project code:
• Suggested Prerequisites:
  • Mechanics of materials
• Time investment: 3 months
• Assessment suggestions:
• Portal:Engineering and Technology
• School:Engineering
• Department:Mechanical Engineering
• Stream:Applied Mechanics
• Level: First year graduate

This course is being taught in Spring 2011. This website is under construction.

Content summary

This is a graduate-level course on advanced mechanics of materials.

Goals

This learning project aims to.

• provide the mathematical foundations of mechanics of materials.

Contents

Syllabus and Learning Materials

1. Mechanics of Materials
   1. Deformation measures
      1. Motion, displacement, velocity, acceleration
      2. Strains and deformations
      3. Polar decomposition
      4. Spectral decompositions of kinematic quantities
      5. Volume change and area change
      6. Time derivatives and rate quantities
      7. Objectivity of kinematic quantities
   2. Stress measures
      1. Stress measures
      2. Deviatoric and volumetric stress
      3. Objective stress rates
   3. Balance laws and entropy inequality
   4. Constitutive relations
      1. Cauchy elastic materials

Assignments

• Homework 1 Problem set
  • Solutions
• Homework 2 Problem set
  • Solutions
• Homework 3 Problem set
  • Solutions
• Homework 4 Problem set
  • Solutions
• Homework 5 Problem set
  • Solutions
• Homework 6 Problem set
  • Solutions

Tests and Quizzes

• Quiz 1
  • Solutions