Multiscale Modelling of Concrete covers all things concrete, including comprehensive discussions on this multi-phase and multi-scale material that is difficult to model and understand due to its heterogeneity. Thus, knowing the properties and modeling concrete in different scales is essential to predict properties and fracture. Most of the research has been focused on meso scale, or the methods available to model and predict micro-scale properties are not linked to experimental methods, so properties for microscale cannot be derived and it is onerous to validate such methods.
Considering the above constraints, the book covers different modelling techniques of scales of concrete - macro, meso, micro/nano and molecular level, characterizing mechanical properties and parameters required for modelling using macro and micro level experiments and linking these levels using analytical and numerical methods to upscale results from micro to the macro level.
1. 1. Introduction to multiscale modeling of concrete - p. 1 2. 2. Macroscale modeling of structural concrete - p. 33 3. Introduction - p. 33 4. Stress versus strain behavior of concrete - p. 35 5. Analytical modeling of concrete - p. 38 6. Modeling and design of reinforced concrete members - p. 52 7. Constitutive models for structural concrete - p. 81 8. Finite element modeling of structural concrete - p. 92 9. Summary and conclusion - p. 97 10. 3. Mesoscale modeling of concrete - p. 105 11. Introduction - p. 105 12. Constituents in mesoscale of concrete - p. 106 13. Continuum mesoscale modeling of concrete - p. 109 14. Chapter summary - p. 157 15. 4. Microstructural characterization and hydration modeling of concrete - p. 167 16. Introduction - p. 167 17. Characteristics of cementitious materials, hydrated cement and pores at the microscopic scale - p. 167 18. Approaches for quantifying physical and chemical properties of concrete microstructure - p. 174 19. Microstructure mechanical property acquisition and characterization - p. 187 20. Microstructural modeling of concrete - p. 205 21. VCCTL hydration simulation based on experimental microphase volume fractions - p. 222 22. 5. Nanoscale and molecular scale modeling of concrete using molecular dynamics - p. 231 23. 6. Bridging and connecting multiscales: Analytical and numerical homogenization techniques - p. 297 24. Introduction - p. 297 25. Numerical homogenization for multiscale modeling of concrete - p. 302 26. Analytical homogenization - p. 308 27. Application of homogenization techniques in concrete - p. 317 28. Summary and conclusions - p. 341 29. 7. Summary and conclusion - p. 353 30. Index - p. 359
Multiscale Modelling of Concrete covers all things concrete, including comprehensive discussions on this multi-phase and multi-scale material that is difficult to model and understand due to its heterogeneity. Thus, knowing the properties and modeling concrete in different scales is essential to predict properties and fracture. Most of the research has been focused on meso scale, or the methods available to model and predict micro-scale properties are not linked to experimental methods, so properties for microscale cannot be derived and it is onerous to validate such methods.
Considering the above constraints, the book covers different modelling techniques of scales of concrete - macro, meso, micro/nano and molecular level, characterizing mechanical properties and parameters required for modelling using macro and micro level experiments and linking these levels using analytical and numerical methods to upscale results from micro to the macro level.
1. 1. Introduction to multiscale modeling of concrete - p. 1 2. 2. Macroscale modeling of structural concrete - p. 33 3. Introduction - p. 33 4. Stress versus strain behavior of concrete - p. 35 5. Analytical modeling of concrete - p. 38 6. Modeling and design of reinforced concrete members - p. 52 7. Constitutive models for structural concrete - p. 81 8. Finite element modeling of structural concrete - p. 92 9. Summary and conclusion - p. 97 10. 3. Mesoscale modeling of concrete - p. 105 11. Introduction - p. 105 12. Constituents in mesoscale of concrete - p. 106 13. Continuum mesoscale modeling of concrete - p. 109 14. Chapter summary - p. 157 15. 4. Microstructural characterization and hydration modeling of concrete - p. 167 16. Introduction - p. 167 17. Characteristics of cementitious materials, hydrated cement and pores at the microscopic scale - p. 167 18. Approaches for quantifying physical and chemical properties of concrete microstructure - p. 174 19. Microstructure mechanical property acquisition and characterization - p. 187 20. Microstructural modeling of concrete - p. 205 21. VCCTL hydration simulation based on experimental microphase volume fractions - p. 222 22. 5. Nanoscale and molecular scale modeling of concrete using molecular dynamics - p. 231 23. 6. Bridging and connecting multiscales: Analytical and numerical homogenization techniques - p. 297 24. Introduction - p. 297 25. Numerical homogenization for multiscale modeling of concrete - p. 302 26. Analytical homogenization - p. 308 27. Application of homogenization techniques in concrete - p. 317 28. Summary and conclusions - p. 341 29. 7. Summary and conclusion - p. 353 30. Index - p. 359
