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


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, PrenticeHall, 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