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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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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.

 
Lecture Notes on Solid Mechanics

Online | NA Pages | English
This note covers the following topics: Mathematical background, Stress in a solid, Strain in a solid, Mechanical Behavior of Solids, Boundary value problems for linear elastic solids, Variational methods for elastic solids, The finite element method for numerical analyses, Boundary value problems for elastic-plastic materials and Failure modes in solid mechanics.

 
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.

 
Lecture Notes for a Course on Continuum Mechanics
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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