Continuum Mechanics Lecture Notes

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

Continuum mechanics by Wikiversity

Topic of continuum mechanics deals with the basics equations of motion that governs the mechanics of both solid and fluid objects in nature. Topics covered includes: Set, notation, Functions, Vectors, Matrices, Tensors, Kinematics, Stress measures and stress rates, Balance law, Balance laws.

Author(s): Wikiversity

NA Pages

Basic Continuum Mechanics

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

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

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

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

Large deformation kinematics (PDF 66p)

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.

Author(s): Rebecca M. Brannon

66 Pages