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Intro; Foreword; Acknowledgements; RILEM Technical Committee 227-HPB (Physical Properties and Behaviour of High-Performance Concrete at High Temperature)ChairmenU. Schneider and P. PimientaSecretaryRobert Jansson McNameeMembersMa-Cruz Alonso, SpainLars Boström, SwedenStefano Dal Pont, FranceColin Davie, UKGerard Debicki, FranceFrank Dehn, GermanyUlrich Diederichs, GermanyRoberto Felicetti, ItalyIzabela Hager, PolandSven Huismann, GermanyUlla-Maija Jumppanen, FinlandManfred Korzen, GermanyEddy Koenders, The NetherlandsJianzhong La; RILEM Publications; RILEM PROCEEDINGS (PRO)
RILEM REPORTS (REP)Contents; Contributors; 1 Scope; Abstract; 1.1 General Comments; 1.2 Context and Objectives; References; 2 Introduction; Abstract; 2.1 Physical Aspects of Heated Concrete; 2.2 Modelling; References; 3 Engineering Modelling; Abstract; 3.1 General Approach; 3.2 Eurocode; 3.3 Thermal Analysis; 3.4 Mechanical Analysis; 3.5 Spalling; 3.6 Examples of National Guidelines; 3.7 Discussion, Limits; References; 4 Advanced Modelling; Abstract; 4.1 Introduction; 4.2 Concrete as Multiphase Porous Material; 4.2.1 Hygral Phenomena; 4.2.2 Thermal Phenomena; 4.2.3 Mechanical Phenomena
4.3 Heat and Mass Transfer4.3.1 Balance Equations; 4.3.2 Constitutive Equations; 4.3.3 Final Form of the Heat and Mass Balance Equations; 4.3.4 Boundary Conditions; 4.4 Key Points for Modelling Cement-Based Materials at High Temperature; 4.5 Numerical Approach; 4.5.1 Variational Formulation; 4.5.2 Spatial Discretisation; 4.5.3 Time Discretisation; 4.5.4 Solution Strategy; 4.6 Simplified One-Fluid Model; 4.7 Simplified Thermo-mechanical Approach; 4.7.1 Heat Balance Equation; 4.7.2 Heat Flux; 4.7.3 Boundary Conditions; 4.8 Mechanical Modelling; 4.8.1 Momentum Balance; 4.8.2 Strain Decomposition
4.8.3 Constitutive EquationsReferences; 5 Constitutive Parameters; Abstract; 5.1 Hygral Parameters; 5.1.1 Evolution of Pore Structure During Heating; 5.1.2 Dehydration Processes-Chemical Reaction; 5.1.3 Liquid-Vapour Equilibrium; 5.1.4 Sorption and Desorption Isotherms; 5.1.5 Permeability; 5.1.6 Diffusivity; 5.2 Thermal Parameters; 5.2.1 Thermal Conductivity; 5.2.2 Heat Capacity; 5.2.3 Enthalpy of Evaporation and Enthalpy of Dehydration; 5.2.4 Density; 5.2.5 Volumetric Heat Capacity; 5.3 Mechanical Parameters; 5.3.1 Material Properties; 5.3.1.1 Tensile Strength; 5.3.1.2 Compressive Strength
5.3.1.3 Elastic Modulus5.3.1.4 Poisson's Ratio; 5.3.1.5 Fracture Energy; References; 6 Conclusion
RILEM REPORTS (REP)Contents; Contributors; 1 Scope; Abstract; 1.1 General Comments; 1.2 Context and Objectives; References; 2 Introduction; Abstract; 2.1 Physical Aspects of Heated Concrete; 2.2 Modelling; References; 3 Engineering Modelling; Abstract; 3.1 General Approach; 3.2 Eurocode; 3.3 Thermal Analysis; 3.4 Mechanical Analysis; 3.5 Spalling; 3.6 Examples of National Guidelines; 3.7 Discussion, Limits; References; 4 Advanced Modelling; Abstract; 4.1 Introduction; 4.2 Concrete as Multiphase Porous Material; 4.2.1 Hygral Phenomena; 4.2.2 Thermal Phenomena; 4.2.3 Mechanical Phenomena
4.3 Heat and Mass Transfer4.3.1 Balance Equations; 4.3.2 Constitutive Equations; 4.3.3 Final Form of the Heat and Mass Balance Equations; 4.3.4 Boundary Conditions; 4.4 Key Points for Modelling Cement-Based Materials at High Temperature; 4.5 Numerical Approach; 4.5.1 Variational Formulation; 4.5.2 Spatial Discretisation; 4.5.3 Time Discretisation; 4.5.4 Solution Strategy; 4.6 Simplified One-Fluid Model; 4.7 Simplified Thermo-mechanical Approach; 4.7.1 Heat Balance Equation; 4.7.2 Heat Flux; 4.7.3 Boundary Conditions; 4.8 Mechanical Modelling; 4.8.1 Momentum Balance; 4.8.2 Strain Decomposition
4.8.3 Constitutive EquationsReferences; 5 Constitutive Parameters; Abstract; 5.1 Hygral Parameters; 5.1.1 Evolution of Pore Structure During Heating; 5.1.2 Dehydration Processes-Chemical Reaction; 5.1.3 Liquid-Vapour Equilibrium; 5.1.4 Sorption and Desorption Isotherms; 5.1.5 Permeability; 5.1.6 Diffusivity; 5.2 Thermal Parameters; 5.2.1 Thermal Conductivity; 5.2.2 Heat Capacity; 5.2.3 Enthalpy of Evaporation and Enthalpy of Dehydration; 5.2.4 Density; 5.2.5 Volumetric Heat Capacity; 5.3 Mechanical Parameters; 5.3.1 Material Properties; 5.3.1.1 Tensile Strength; 5.3.1.2 Compressive Strength
5.3.1.3 Elastic Modulus5.3.1.4 Poisson's Ratio; 5.3.1.5 Fracture Energy; References; 6 Conclusion