Welcome to this learning project about Advanced elasticity!
Learning Project Summary[edit | edit source]
- Project code:
- Suggested Prerequisites:
- Time investment: 6 months
- Assessment suggestions:
- Portal:Engineering and Technology
- Department:Mechanical Engineering
- Stream:Applied Mechanics
- Level: First year graduate
Content summary[edit | edit source]
This is an advanced course on the elastic deformations of solids.
Goals[edit | edit source]
This learning project aims to.
- provide the mathematical foundations of advanced elasticity.
Contents[edit | edit source]
Syllabus and Learning Materials[edit | edit source]
- Nonlinear Elasticity
- Deformation measures
- Stress measures
- Balance laws and entropy inequality
- Constitutive relations
- Cauchy elastic materials
- Thermoelastic materials
- Relation between Cauchy stress and Green strain
- Maxwell relations for thermoelasticity
- Balance of energy
- Clausius-Duhem inequality
- Specific heat relations
- Nonlinear elastic materials
- Three-dimensional elastcity
- /Elastic potentials
- Plates and Shells
Assignments[edit | edit source]
- Homework 1 Problem set
- Homework 2 Problem set
- Homework 3 Problem set
- Homework 4 Problem set
- Homework 5 Problem set
- Homework 6 Problem set
- Homework 7 Problem set
- Homework 8 Problem set
- Homework 9 Problem set
- Homework 10 Problem set
- Homework 11 Problem set
Tests and Quizzes[edit | edit source]
Textbooks and References[edit | edit source]
- R.W. Ogden, (1984), Non-linear Elastic Deformations, Dover Publications.
- A.J.M Spencer (2004), Continuum Mechanics, Dover Publications. An excellent introduction to continuum mechanics. You should own a copy for your personal library.
- L.E. Malvern (1969), Introduction to the Mechanics of a Continuous Medium, Prentice-Hall. A good reference for continuum mechanics.
- Continuum Mechanics:
- R. M. Brannon (2004), Elementary Vector and Tensor Analysis for Engineers. This free online book is the best introduction I have seen for vector and tensor analysis for nonlinear mechanics.
- R. M. Brannon (2004), Curvilinear Coordinates. Very useful if you wish to follow the literature on the nonlinear deformation of shells.
- A.P.S. Selvadurai (2000), Partial Differential Equations in Mechanics 1,2. Springer. Excellent introductory text on partial differential equations with engineers in mind.
Reading List[edit | edit source]
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