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.
Basic Continuum MechanicsLars H. SoderholmPDF
| 129 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
Continuum Mechanics Lecture Notes by Technical University Of KaiserslauternTechnical
University Of KaiserslauternPDF
| 112 Pages
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
Continuum Mechanics Lecture Notes The Mechanics of Elastic SolidsRohan
| 428 Pages
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. RaymondDavid
| 142 Pages
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 NotesZdenek
| 179 Pages
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)James
| 89 Pages
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 ElasticityiMechanica.orgPDF
| 18 Pages
note covers the following topics: method of continuum mechanics, Displacement,
Strain, Theory of Elasticity in a Nutshell, Linear Elasticity and Spherical
Engineering Visco Elasticity (PDF 37p)David RoylancePDF
| 37 Pages
note covers the following topics: Molecular Mechanisms, Mathematical Models for Linear Viscoelastic Response, The
Boltzman Superposition Integral, Viscoelastic Stress Analysis.
Introduction to Continuum MechanicsP.M HaghdiPDF
| 203 Pages
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]Ray
| 305 Pages
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)Rebecca
| 66 Pages
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.