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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 
Manifolds of mappings for continuum mechanics
This note contains below topics, A short review of convenient calculus in infinite dimensions, Manifolds with corners, Whitney manifold germs, Manifolds of mappings, Regular Lie groups, Spaces of embeddings or immersions and shape spaces, Weak Riemannian manifolds, Robust weak Riemannian manifolds and Riemannian submersions.
Author(s): Peter W. Michor
66 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 by Technical University Of Kaiserslautern
This note explains the following topics: Tensor calculus, Tensor algebra, Tensor analysis, Kinematics, Rates of kinematic quantities, Gradients of kinematic quantities, Balance equations, Concept of mass flux, Concept of stress, Balance of mass, Balance of linear momentum, Balance of angular momentum, Balance of energy, Constitutive equations, Linear constitutive equations.
Author(s): Technical University Of Kaiserslautern
112 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
Introduction to Continuum Mechanics by David J Raymond
This textbook develops the subject of continuum mechanics from the point of view of an applied physicist with interests in geophysics and astrophysics. Topics covered includes The Notion of Stress, Budgets, Fluxes, and the Equations of Motion, Kinematics in Continuum Mechanics, Elastic Bodies, Waves in an Elastic Medium, Statics of Elastic Media, Newtonian Fluids, Creeping Flow and High Reynolds Number Flow.
Author(s): David J. Raymond
142 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 Molecular Mechanisms, Mathematical Models for Linear Viscoelastic Response, The Boltzman Superposition Integral, Viscoelastic Stress Analysis.
Author(s): David Roylance
37 Pages