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Introduction to relativistic continuum mechanics
Ferrarese, Giorgio.
- ISBN:9783540731665
- ISBN:3540731660
- Call Number : QA 808 .5 .F47 2008
- Main Entry: Ferrarese, Giorgio.
- Title:Introduction to relativistic continuum mechanics [electronic resource] / G. Ferrareses, D. Bini.
- Publisher:Berlin : Springer, 2008.
- Physical Description:xii, 340 p.: ill.; 24 cm
- Series:Lecture notes in physics; 727
- Notes:Includes bibliographical references
- Subject:Relativistic mechanics.
- Subject:Continuum mechanics.
- Added Entry:Ferrarese, Giorgio.
- Added Entry:Bini, D (Donato)
Introduction to relativistic continuum mechanicsمحتواي کتاب
- front-matter
- fulltext_001
- fulltext_002
- Space-Time Geometry and Relativistic Kinematics
- Introduction to Special Relativity
- General Axioms
- The Minkowski Space-time
- The Minkowski Metric
- Vectors and Their Classification. The Lightcone
- Elements of the Geometry of Minkowski Space-time
- Proper Time
- Test Particle Kinematics (Absolute and Relative)
- Lorentz Transformations
- General Lorentz Transformations: I
- Relativity of Lengths and Times
- Muon Mean Life and the Time Dilation
- Theorem of Relative Motions
- Optical Experiments and Special Relativity
- Coriolis Theorem
- Vectorial Maps
- Levi--Civita Indicator and Ricci Tensor
- General Lorentz Transformations: II
- General Lorentz Transformations: III
- References
- Space-Time Geometry and Relativistic Kinematics
- fulltext_003
- Test Particle Dynamics
- Fundamental Laws of Test Particle Dynamics
- Cauchy Problem
- Classification of 4-Forces. Conservative Forces
- Constrained Material Point
- The Conservative Case. Hamiltonian Formulation
- The Relative Formulation of the Dynamics
- Transformation Laws: Unification Between Mechanics and Heat Theory
- The Cauchy Problem in Relative Dynamics
- The Intrinsically Conservative Case
- Pure Mechanics: Particles with Scalar Structure
- The Conservative Case in a Classical Sense
- Classical Approximation
- Unified Scheme: Particles and Photons
- Fundamental Invariants
- Particle and Photon Dynamics
- Unified Relative Dynamics of Particles
- An Alternative to the Unified Dynamics
- References
- Test Particle Dynamics
- fulltext_004
- Applications
- Principal Tetrad for Nonnull Curves in M4
- Frenet--Serret Formalism
- Curvature and Torsions
- Intrinsic Equations
- Conservative Lorentz-like Forces
- Central Forces in a Galilean Frame
- The Keplerian Case
- Motion of Charged Particles in a Uniform Magnetic Field
- Extension of Maxwell's Equations to any Galilean Frame
- References
- Applications
- fulltext_005
- Relativistic Kinematics for a Three-Dimensional Continuum
- Continuum Mechanics. Relative Representation of the Motion
- Fundamental Kinematical Fields
- Shear and Vorticity
- Christoffel Symbols and Covariant Derivative
- Local Analysis of the Motion of a Continuum
- Passing from One Galilean Frame to Another
- Kinematical Invariants
- Dilation Coefficients
- Transformation Laws for Angular and Deformation Velocities
- Born Rigidity. Thomas Precession
- Material Continuum. Number and Matter Density
- Absolute Kinematics. Proper Quantities
- References
- Relativistic Kinematics for a Three-Dimensional Continuum
- fulltext_006
- Elements of Classical Dynamics of a Continuum
- Introduction to Continuum Classical Dynamics
- Lagrangian Form of the Fundamental Equations
- Isotropic Systems
- Symbolic Relation of Continuum Mechanics
- Reversible Transformation Systems. Free Energy
- Perfect Fluids. Characteristic Equation and Specific Heat
- Perfect Gas
- General Expression for the Power of the Internal Forces
- Isotropic Systems: Constitutive Equations
- Dynamical Compatibility of a Continuum
- Hyperelastic Continua: Intrinsic Dynamics
- Cauchy Problem
- References
- Elements of Classical Dynamics of a Continuum
- fulltext_007
- Elements of Relativistic Dynamics of a Continuum
- Relativistic Extension
- Proper Mechanical Stresses and Thermal Energy
- Space-time Splitting Techniques. The Energy Tensor
- Dust Matter and Perfect Fluids
- Absolute Dynamics of Ordinary Relativistic Continua
- Relative Dynamics of Ordinary Relativistic Continua
- Transformation Laws of the Fundamental Relative Quantities
- Energy Theorem and the First Law of Thermodynamics
- Continua Without Material Structure
- References
- Elements of Relativistic Dynamics of a Continuum
- fulltext_008
- Elements of Relativistic Thermodynamics of a Continuum
- Introduction
- Nonpolar Continua
- Proper Thermodynamics of the Nonpolar Continua
- Relative Formulation
- Transformation Laws of the Fundamental Relative Quantities
- Classical Form of the Relativistic Cauchy Equation
- Transformation Laws of the Dynamical Stresses
- Nonviscous Fluids and Dynamical Pressure
- Lagrangian Form of the Relativistic Cauchy Equation
- Lagrangian Form of the Power of the Internal Forces
- Energy Theorem and First Law of Thermodynamics
- Finite Deformations in Relativity. Isotropic Systems
- Continua Without Material Structure
- Reversible Systems Without Material Structure
- Isotropic Reversible Systems Without Material Structure
- Perfect Fluids with Heat Transfer
- Introduction to the Cauchy Problem
- References
- Elements of Relativistic Thermodynamics of a Continuum
- fulltext_009
- Relativistic Electromagnetism in Vacuum
- Introduction
- Sources and Electromagnetic Action. Axioms
- Electromagnetic Tensor
- Absolute Formulation of Maxwell's Equations
- Homogeneous Form of Maxwell's Equations
- Transformation Laws of Electric and Magnetic Fields
- Invariants
- Energy Tensor of the Electromagnetic Field
- Splitting of the Energy Tensor of the Electromagnetic Field
- Spectral Analysis of the Electromagnetic Tensor
- Spectral Analysis of the Energy Tensor of the Electromagnetic Field
- Electromagnetic 4-Potential. Gauge Invariance
- The Material and the Electromagnetic Schemes
- Evolution Equations for a Charged Material System
- References
- Relativistic Electromagnetism in Vacuum
- back-matter