Large deformation kinematics (PDF 66p)

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

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

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

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

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

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