Fundamentals of Continuum Mechanics

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

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 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

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

Elements of Elasticity

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

Engineering Visco Elasticity (PDF 37p)

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

Introduction To Continuum Mechanics Revised Edition [pdf 305p]

This textbook is intended to introduce engineering graduate students to the essentials of modern Continuum Mechanics.It covers the following topics: One-Dimensional Continuum Mechanics, Kinematics of Motion, Equations of Balance, Models of Material Behavior and Materials with Internal State Variables.

Author(s): Ray M. Bowen

305 Pages