Continuum Mechanics Lecture Notes by Technical University Of Kaiserslautern
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Continuum Mechanics Lecture Notes by Technical University Of Kaiserslautern
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.
This note covers
the following topics: Mathematical preliminaries, Stress, Motion and deformation,
Balance of mass, Momentum and energy and ideal constitutive relations.
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 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 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 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.
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.