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 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.
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: 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 covers the following topics: method of continuum mechanics, Displacement,
Strain, Theory of Elasticity in a Nutshell, Linear Elasticity and Spherical
Coordinates.
This
note covers the following topics: Molecular Mechanisms, Mathematical Models for Linear Viscoelastic Response, The
Boltzman Superposition Integral, Viscoelastic Stress Analysis.