Continuum mechanics: elasticity, plasticity, viscoelasticity

FUNDAMENTALS OF CONTINUUM MECHANICSMaterial ModelsClassical Space-TimeMaterial BodiesStrainRate of StrainCurvilinear Coordinate SystemsConservation of MassBalance of MomentumBalance of EnergyConstitutive EquationsThermodynamic DissipationObjectivity: Invariance for Rigid MotionsColeman-Mizel ModelFluid MechanicsProblems for Chapter 1BibliographyNONLINEAR ELASTICITYThermoelasticityMaterial SymmetriesIsotropic MaterialsIncompressible MaterialsConjugate Measures of Stress and StrainSome Symmetry GroupsRate Formulations for Elastic MaterialsEnergy PrinciplesGeometry of Small DeformationsLinear ElasticitySpecial Constitutive Models for Isotropic MaterialsMechanical Restrictions on the Constitutive RelationsProblems for Chapter 2BibliographyLINEAR ELASTICITYBasic EquationsPlane StrainPlane StressProperties of SolutionsPotential EnergySpecial Matrix NotationThe Finite Element Method of SolutionGeneral Equations for an Assembly of ElementsFinite Element Analysis for Large DeformationsProblems for Chapter 3BibliographyPLASTICITYClassical Theory of PlasticityWork Principlevon Mises-Type Yield CriterionHill Yield Criterion for Orthotropic MaterialsIsotropic HardeningKinematic HardeningCombined Hardening lawsGeneral Equations of PlasticityStrain Formulation of PlasticityFinite Element AnalysisLarge DeformationsThermodynamics of Elastic-Plastic MaterialsProblems for Chapter 4BibliographyVISCOELASTICITYLinear ViscoelasticityEffect of TemperatureNonlinear ViscoelasticityThermodynamics of Materials with Fading MemoryProblems for Chapter 5BibliographyFRACTURE AND FATIGUEFracture CriterionPlane Crack through a SheetFracture ModesCalculation of the Stress Intensity FactorCrack GrowthProblems for Chapter 6BibliographyMATHEMATICAL TOOLS FOR CONTINUUM MECHANICSSets of Real NumbersMatricesVector AnalysisTensorsIsotropic FunctionsAbstract DerivativesSome Basic Mathematical Definitions and TheoremsProblems for Chapter 7BibliographyINDEX.