Continuum mechanics
Welcome to this learning project about continuum mechanics!
Introduction Edit
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
Educational level: this is a tertiary (university) resource. |
Subject classification: this is an engineering resource. |
- 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
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
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
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Syllabus and Learning Materials Edit
- Mathematical Preliminaries
- Kinematics
- Stress measures and stress rates
- Balance laws
- Constitutive relations
- Thermoelasticity
- Nonlinear Elasticity
- Plasticity
- Viscoplasticity
- Viscoelasticity.
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 Edit
Textbooks and References Edit
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Textbooks Edit
- 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
- Mathematics:
- 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