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.
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.
This note covers
the following topics: Mathematical preliminaries, Stress, Motion and deformation,
Balance of mass, Momentum and energy and ideal constitutive relations.
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.
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.
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.
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.
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.
This
note covers the following topics: method of continuum mechanics, Displacement,
Strain, Theory of Elasticity in a Nutshell, Linear Elasticity and Spherical
Coordinates.