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Free Continuum Mechanics Books

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This section contains free e-books and guides on Continuum Mechanics, some of the resources in this section can be viewed online and some of them can be downloaded.

Continuum Mechanics Books
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Basic Continuum Mechanics

PDF | 129 Pages | English
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.

 
Continuum Mechanics Lecture Notes by Technical University Of Kaiserslautern

PDF | 112 Pages | English
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.

 
Continuum Mechanics Lecture Notes The Mechanics of Elastic Solids

PDF | 428 Pages | English
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.

 
Introduction to Continuum Mechanics by David J. Raymond

PDF | 142 Pages | English
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.

 
Continuum Mechanics Lecture Notes

PDF | 179 Pages | English
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.

 
J. R. Rice, Solid Mechanics (pdf 84p)

PDF | 89 Pages | English
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.

 
Elements of Elasticity

PDF | 18 Pages | English
This note covers the following topics: method of continuum mechanics, Displacement, Strain, Theory of Elasticity in a Nutshell, Linear Elasticity and Spherical Coordinates.

 
Engineering Visco Elasticity (PDF 37p)

PDF | 37 Pages | English
This note covers the following topics: Molecular Mechanisms, Mathematical Models for Linear Viscoelastic Response, The Boltzman Superposition Integral, Viscoelastic Stress Analysis.

 
Introduction to Continuum Mechanics

PDF | 203 Pages | English
This book covers the following topics: Kinematics, Conservation Laws and some related results, Examples of constitutive equations and applications, Inviscid and viscous fluids and nonlinear and linear solids.

 
Introduction To Continuum Mechanics Revised Edition [pdf 305p]

PDF | 305 Pages | English
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.

 
Large deformation kinematics (PDF 66p)

PDF | 66 Pages | English
This book covers the following topics:  What is deformation, The deformation gradient, Homogenous deformations, Constructing the deformation gradient using dyads, Polar decomposition, Strain , Example: non-rotational deformations and Axisymmetric deformations.

 
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