Theory of Thermoelasticity With Applications

摘要: 1 Introduction.- 2 Mathematical groundwork.- 2.1 Tensor calculus.- 2.2 List of useful formulas.- 3 Fundamentals thermodynamics.- 3.1 System. State. State parameters and functions.- 3.2 The laws 3.3 Nonuniform systems.- 4 Thermodynamics elastic deformations.- 5 Modes heat transfer.- 5.1 Radiation.- 5.2 Convection.- 5.3 Conduction.- 6 Theory conduction.- 6.1 Classical differential equation 6.2 Initial boundary conditions.- 7 An hyperbolic 8 linear thermoelastic solid.- 8.1 Anisotropy materials.- 8.2 Certain types coupling.- 9 temperature field.- 9.1 Integral transforms.- 9.1a Laplace transform.- 9.1b Fourier 9.1c Hankel 9.2 Separation variables.- 9.3 Green's, or influence, 9.3a Steady states.- 9.3b Time-dependent 9.4 Duhamel's superposition theorems.- 9.5 Solidification melting.- 10 Stress deformation fields.- 10.1 Goodier's potential.- 10.2 Method biharmonic representations.- 10.3 Betti-Maysel reciprocal method.- 10.4 Thermoelastic-elastic correspondence principle.- 10.5 Green's function.- 10.6 a complex variable.- 10.6a General concepts 10.6b Series expansions.- 10.6c Conformai mapping.- 10.6d Applications to elasticity.- 10.6e Uniqueness solution. Connectivity regions.- 10.6f Cauchy integrals.- 10.7 extended Boussinesq-Papkovich-Neuber solution.- 11 Stress-free 11.1 11.2 11.2a Three-dimensional 11.2b Two-dimensional 12 Anisotropic bodies.- 12.1 Correspondence principle for anisotropic 12.2 Thermal stresses in an orthotropic hollow cylinder.- 12.3 transversely isotropic half-space.- 13 Stresses due solidification.- 14 Thermoelastic plates.- 14.1 equations.- 14.2 Boundary 14.3 14.4 Two characteristic cases.- 14.5 Laminated composite 15 shells.- 15.1 Deformation shells revolution under axisymmetric mechanical thermal load.- 15.2 stress deformed axisymmetrically.- 15.3 theory 15.4 Shells arbitrarily.- 15.5 Donnell's cylindrical 15.6 15.7 Equation conduction 16 bars.- 16.1 Bars solid cross-section.- 16.2 thin-walled open 16.3 closed 16.4 Torsion bars 17 around cracks.- 18 stability 18.1 18.2 18.3 Plates.- 18.4 Post-buckling behavior 19 Moving periodic 19.1 remarks.- 19.2 Illustrative examples.- 20 vibrations waves.- 20.1 20.2 harmonic waves infinite media.- 20.3 Rayleigh 20.4 spinning disk.- 20.5 Wave discontinuities.- 21 Coupled thermoelasticity.- 22 Thermoelasticity porous 23 Electromagnetic 23.1 Basic electromagnetism.- 23.2 Maxwell's 23.3 Lorentz force. Maxwell stresses.- 23.4 23.5 energy.- 23.6 23.6a dielectrics.- 23.6b ferromagnetic 23.6c Applications.- 24 Piezothermoelasticity.- 25 Random processes.- 25.1 25.1a 25.1b 25.2 Spectral density.- 26 Variational methods 26.1 26.2 Virtual work.- 26.3 Principles stationary energy Hemp.- 26.4 Principle Washizu.- 26.5 Biot.- Literature.- Author index.