Elements of Elasticity

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

Fundamentals of Continuum Mechanics

This note covers the following topics: Mathematical preliminaries, Stress, Motion and deformation, Balance of mass, Momentum and energy and ideal constitutive relations.

Author(s): Northwestern University

181 Pages

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

Continuum Mechanics Lecture Notes The Mechanics of Elastic Solids

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.

Author(s): Rohan Abeyaratne

428 Pages

Introduction to Continuum Mechanics by David J. Raymond

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.

Author(s): David J. Raymond

142 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