Advanced elasticity
Welcome to this learning project about Advanced elasticity!
Learning Project Summary
edit- Project code:
- Suggested Prerequisites:
- Time investment: 6 months
- Assessment suggestions:
- Portal:Engineering and Technology
- School:Engineering
- Department:Mechanical Engineering
- Stream:Applied Mechanics
- Level: First year graduate
Content summary
editThis is an advanced course on the elastic deformations of solids.
Goals
editThis learning project aims to.
- provide the mathematical foundations of advanced elasticity.
Contents
editSyllabus and Learning Materials
edit- Nonlinear Elasticity
- Deformation measures
- Stress measures
- Balance laws and entropy inequality
- Constitutive relations
- Examples
- Buckling
- Refresh your basics
- /Linear buckling
- /Nonlinear buckling
- Examples
- Three-dimensional elastcity
- /Elastic potentials
- Examples
- Plates and Shells
- Dynamics
- /Vibrations
- Examples
- Fracture
- Examples
Assignments
edit- 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
editTextbooks and References
editTextbooks
- 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.
References
- Continuum Mechanics:
- R. M. Brannon (2004), Large Deformation Kinematics. An excellent introduction to kinematics.
- R. M. Brannon (2004), Rotation. Almost everything you ever wanted to know about rotations.
- Mathematics:
- 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- ...
Learning materials and learning projects are located in the main Wikiversity namespace. Simply make a link to the name of the lesson (lessons are independent pages in the main namespace) and start writing! You should also read about the Wikiversity:Learning model. Lessons should center on learning activities for Wikiversity participants. Learning materials and learning projects can be used by multiple projects - and you are encouraged to cooperate with other departments that use the same learning resource. |