Continuum mechanics
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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]
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  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
 Kinematics
 Stress measures and stress rates
 Balance laws
 Constitutive relations
 Thermoelasticity
 Nonlinear Elasticity
 Plasticity
 Viscoplasticity
 Viscoelasticity.
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]
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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, PrenticeHall, 1969
References[edit  edit source]
 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