Welcome to this learning project about continuum mechanics!
Topic of continuum mechanics deals with the basics equations of motion that governs the mechanics of both solid and fluid objects in nature.
- 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
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.
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
Syllabus and Learning MaterialsEdit
- Mathematical Preliminaries
- Set notation
- Partial differential equations
- Variational calculus
- Stress measures and stress rates
- Balance laws
- Constitutive relations
- 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 QuizzesEdit
Textbooks and ReferencesEdit
- 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
- 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