Hygrothermoelasticity

1 Classical diffusion theories.- 1.1 Introduction.- 1.2 Thermal diffusion: heat conduction.- 1.3 Moisture diffusion.- 1.4 Appendix: Anisotropic character of diffusion coefficient in fiber reinforced composite.- References.- 2 Coupled diffusion of temperature and moisture.- 2.1 Introduction.- 2.2 Dufour and Soret effects.- 2.3 Linear dependence of moisture and temperature in two-phase system.- 2.4 Solution by normal coordinates.- 2.5 Evaluation of coupling constants.- 2.6 Temperature and moisture diffusion in T300/5208 graphite/epoxy system.- 2.7 Appendix A: Additional models of moisture and temperature coupling.- 2.8 Appendix B: Diffusion parameters for simultaneous moisture and temperature boundary conditions.- References.- 3 Analytical solutions of transient hygrothermal stresses in elastic bodies.- 3.1 Introduction.- 3.2 One-dimensional stress and strain expressions.- 3.3 Symmetric through thickness diffusion.- 3.4 Anti-symmetric through thickness diffusion.- 3.5 Spherical cavity in infinite solid.- 3.6 Appendix A: Elastic properties of T300/5208 graphite/epoxy laminate.- 3.7 Appendix B: General solution for coupled diffusion problems.- References.- 4 Time dependent finite element formulation of hygrothermal elasticity problems.- 4.1 Introduction.- 4.2 Finite element applied to coupled diffusion equations.- 4.3 Laplace transformation and eigenvalue formulation.- 4.4 Finite element hygrothermal stress formulation.- 4.5 Sudden localized heating of semi-infinite solid.- 4.6 Concentration of diffusion and stresses around a circular cavity.- 4.7 Redistribution of hygrothermal stresses around an elliptical opening.- 4.8 Appendix A: Variational procedure.- 4.9 Appendix B: Derivation of ?TI and ?CI.- 4.10 Appendix C: Modal decomposition.- References.- 5 Coupled theory ofheat, moisture and deformation.- 5.1 Introduction.- 5.2 General information.- 5.3 Plane hygrothermoelasticity.- 5.4 Method of hygrothermoelastic potential.- 5.5 Physical constants in deformation coupled theory.- 5.6 Uncoupled theories.- References.- 6 Complex variable formulation of hygrothermoelasticity problems.- 6.1 Introduction.- 6.2 Stress function.- 6.3 Complex formulation.- 6.4 Conformai transformation.- 6.5 Circular region subjected to diffusion and deformation.- 6.6 Remote extension of region with cavity.- References.- 7 Numerical analysis of coupled diffusion and deformation problems.- 7.1 Introduction.- 7.2 Basic formulation.- 7.3 Smooth slab subjected to sudden moisture change.- 7.4 Smooth slab subjected to sudden temperature change.- 7.5 Diffusion and stress boundary conditions applied to body with circular cavity.- 7.6 Hygrothermal stresses around narrow elliptical cavity.- References.- 8 The strain energy density function.- 8.1 Introduction.- 8.2 Energy per unit volume.- 8.3 Energy density decay near a crack.- 8.4 Failure criterion.- References.- Author index.