Welcome to this learning project about continuum mechanics!
Introduction[edit | edit source]
Topic of continuum mechanics deals with the basics equations of motion that governs the mechanics of both solid and fluid objects in nature.
Project metadata[edit | edit source]
- Suggested Prerequisites:
- Time investment: 6 months
- Portal: Engineering and Technology
- School: Engineering
- Department: Mechanical engineering, Civil engineering, Aeronautical engineering, Applied mechanics
- Level: Senior year undergraduate and graduate students
Content summary[edit | edit source]
This is an introductory course on the continuum mechanics of materials. Small deformation theory is generalized for finite deformation scenarios and applied for both solid and fluids.
Goals[edit | edit source]
This learning project aims to.
- provide the mathematical foundations of continuum mechanics
- expose students to extension of small deformation theory into the finite deformation regime in solids and fluids
Contents[edit | edit source]
Syllabus and Learning Materials[edit | edit source]
- Mathematical Preliminaries
- Set notation
- Partial differential equations
- Variational calculus
- Stress measures and stress rates
- Balance laws
- Constitutive relations
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]
Textbooks[edit | edit source]
- Continuum Mechanics by A.J.M Spencer, Dover Publications, 2004
- Introduction to the Mechanics of a Continuous Medium by L.E. Malvern, Prentice-Hall, 1969
References[edit | edit source]
- R. M. Brannon (2004), Elementary Vector and Tensor Analysis for Engineers.
- R. M. Brannon (2004), Curvilinear Coordinates.
- A.P.S. Selvadurai (2000), Partial Differential Equations in Mechanics 1,2. Springer