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Lectures on Continuum Physics
This note explains the following topics: Vectors, Tensors, Tensor properties, Vector and tensor fields, Configurations, Motion, The Lagrangian description of motion, Stretch and strain tensors, The polar decomposition, Velocity gradients, and rates of deformation, Balance of mass, Reynolds transport theorem, Linear and angular momentum, Models of viscous fluids, Material symmetry, Classical continuum mechanics, The heat transport equation, The free energy functional, Phase separation-non convex free energy, The Cahn-Hilliard formulation.
Author(s): University of Michigan
NA Pages 
Introduction to Continuum Mechanics by Shih Liu
This note explains the following topics: Notations and tensor algebra, Kinematics of finite deformation, Balance laws, Euclidean objectivity, Principle of material frame indifference, Material symmetry, Elastic solids, Viscoelastic materials, Second law of thermodynamics, Some problems in finite elasticity, Wave propagation in elastic bodies and mixture theory of porous media.
Author(s): I Shih Liu
128 Pages
Fundamentals of Continuum Mechanics
This note covers the following topics: Mathematical preliminaries, Stress, Motion and deformation, Balance of mass, Momentum and energy and ideal constitutive relations.
Author(s): Northwestern University
181 Pages
This note explains the following topics: Vectors, Tensors, Tensor properties, Vector and tensor fields, Configurations, Motion, The Lagrangian description of motion, Stretch and strain tensors, The polar decomposition, Velocity gradients, and rates of deformation, Balance of mass, Reynolds transport theorem, Linear and angular momentum, Models of viscous fluids, Material symmetry, Classical continuum mechanics, The heat transport equation, The free energy functional, Phase separation-non convex free energy, The Cahn-Hilliard formulation.
Author(s): University of Michigan
NA Pages
This note will create a much more stable basis for continued work or study in the field of mechanics of continua, be they solid or fluid. Topics covered includes: Vectors and second order tensors, Change of coordinates, Higher order tensors, Derivatives, Analysis of small deformations, Kinematics, The dynamic equations of continuum mechanics, Elastic materials, Isotropic linearly elastic solids, Compatibility and Plane elasticity, Variational principles, Newtonian fluids and Elastic fluids.
Author(s): Lars H. Soderholm
129 Pages
Continuum Mechanics Lecture Notes The Mechanics of Elastic Solids
These notes provide an introduction to the mechanics of elastic solids for beginning graduate students. They may be downloaded without charge. Topics covered includes: Kinematics: Deformation, Kinematics: Motion, Mechanical Balance Laws and Field Equations, Thermodynamic Balance Laws and Field Equations, Singular Surfaces and Jump Conditions, Constitutive Principles, Elastic Materials, Linearized Elasticity, Compressible Fluids, Liquid Crystals.
Author(s): Rohan Abeyaratne
428 Pages
Continuum Mechanics Lecture Notes
This book covers the following topics: Geometry Of Deformation, Kinematics, Measures Of Stress, Fundamental Balance Laws, Moving Spatial Frame, Constitutive Equations, Entropy Principle, Classical Linear Elasticity, Small Motions in A Medium with a finite Pre-stress.
Author(s): Zdenek Martinec
179 Pages
J. R. Rice, Solid Mechanics (pdf 84p)
This note covers the following topics: Concepts of stress, strain and elasticity, Beams, columns, plates, shells, Elasticity, general theory, Waves, Stress concentrations and fracture, Linear and Angular Momentum Principles, Geometry of Deformation, Stress-Strain Relations, Equations of linear elasticity, mechanical theory, Some elementary two-dimensional solutions and Equations of finite deformation.
Author(s): James R. Rice
89 Pages
This note covers the following topics: method of continuum mechanics, Displacement, Strain, Theory of Elasticity in a Nutshell, Linear Elasticity and Spherical Coordinates.
Author(s): iMechanica.org
18 Pages