Mathematical Modeling of Concrete Mixture Proportioning

1. CONCRETE AND MODELLING CONCEPTS
1.1. Concrete – the material
1.2. Historical developments
1.3. Concepts of modelling
1.4. Concepts of mathematical modelling
1.5. Fundamentals of mixture design
1.7. Design for performance and sustainability 
1.8. Offshoots in concrete formulations
1.9. Modern trends and adaptations
1.10. Future prospects and interdisciplinary avenues
References
2. CONSTITUENT MATERIALS AND PROCESSING
2.1. Introduction
2.2. Classification of cements
2.3. Characteristics of cements
2.4. Chemical admixtures
2.5. Supplementary cementitious materials (scms)
2.6. Inert filler constituents
2.7. Aggregate characteristics
2.8. Production, transport and placement
2.9. Consistency and compaction 
2.10. Early-age effects in concrete
2.11. Curing
References
3. CONCEPTS OF CEMENTITIOUS MIXTURE DESIGN
3.1. Introduction
3.2. Concrete design concepts
3.3. Hydration and strength development
3.4. Aggregate distributions
3.5. Structural requirements 
3.6. Construction requirements
3.7. Environmental requirements
3.8. Aesthetics and service life
3.9. Comprehensive overview and limitations
References
4. MODELLING AND UNIFICATION CONCEPTS 
4.1. Introduction
4.2. Concepts of modelling composites
4.3. Unification attempts
4.4. Further necessities for unification
4.5. Effect of aggregate characteristics
4.6. Effect of chemical admixtures
4.7. Effect of mineral admixtures
4.8. Effect of fine fillers
4.9. Efficacy of the unification aspects
References
5. AMERICAN RECOMMENDATIONS
5.1. Introduction
5.2. Historical background
5.3. The ‘PCA’ approach
5.4. The ‘USBR’ contribution
5.5. The ‘ACI’ recommendations 
5.6. The proportioning of normal concretes
5.7. Proportioning of structural lightweight concrete
5.8. Proportioning of no-slump concretes
5.9. Proportioning of high strength concrete
5.10. A panoramic vision of the ‘ACI’ recommendations
References
APPENDIX PROG-ACI-NCNA-5
APPENDIX NCNA-5
APPENDIX NCA-5
APPENDIX NSNA-5
APPENDIX NSA-5
APPENDIX HSN-5
APPENDIX HSP-5
6. THE BRITISH APPROACH
6.1. Developments and perspective
6.2. Earlier methodologies
6.3. An outline of the British method
6.4. Aggregate qualifications
6.4. Aggregate qualifications
6.5. Age effect and comparison
6.6. Possible mathematical formulations
6.7. A simplified solution
6.8. Relevance and potential for practical applications
References
APPENDIX LAB-6
APPENDIX BSN-6
7. EURO-INTERNATIONAL VISION
7.1. Design viewpoints 
7.2. The German norms
7.3. Euro adaptations
7.4. The Indian status
7.6. Other national approaches
7.6. Mathematical modelling
References
8. PERCEPTIONS OF PERFORMANCE AND SUSTAINABILITY
8.1. Introduction
8.2. Perceptions of environment and performance
8.3. Performance and sustainability indicators
8.4. Concepts of green and sustainability
8.5. Design methodology for high performance
8.6. Avenues for green and sustainability
8.7. Performance quality indices
8.8. Concepts of reliability
References
9. VERY HIGH PERFORMANCE AND SUSTAINABLE COMPOSITIONS
9.1. Introduction
9.2. Concepts of concrete fracture and propagation
9.3. Recent outlook in design methodologies
9.4. Modern mathematical propositions
9.5. Review of data and compliance
9.6. Concepts for very high strength compositions
9.7. Effect of chemical admixtures
9.8. Effect of pozzolanic materials
9.9. Thermal effects and appropriate utilization
9. 10. Integration, applications and limitations
References
10. PERFORMANCE REGULATORY EFFORTS
10.1. Introduction
10.2. Regulatory authorities and certification efforts
10.3. Historical efforts towards assurance
10.4. Quality evaluation, assurance and audit
10.5. Methods of evaluation and efficacy
10.6. Perceived and achieved quality
10.7. Legal framework
10.8. Concepts for localization
References
11. FUTURE PROSPECTS AND POTENTIALS
11.1. Introduction
11.2. Envisioned objectives
11.3. Cementitious modifications
11.4. Fibrous incorporations
11.5. Macro material management
11.6. Application based visions
11.7. Education and training
11.8. Innovative concepts
References