Multiscale Finite Element Simulation of Reinforced Concrete: The Impact of Extreme Loading Conditions on Structures and Materials provides readers with a fully-fledged theoretical framework of multiscale finite element analysis for the performance of reinforced concrete structures under extreme loads. The book updates readers by demonstrating novel methods and the latest developments that have recently been introduced into the field. It includes detailed explanations of advanced modeling techniques, insights into computational methods, clear guidance on their software implementation, theory, practice, and real world case studies and numerical simulations, thus enabling readers to apply advanced finite element analysis techniques to evaluate real-world engineering problems.
In addition, the book discusses engineering challenges, including design optimization, regulatory compliance, and cost-effectiveness.
1. 1. Introduction to multiscale analysis of concrete structures - p. 1 2. 2. Theoretical foundations for multiscale finite element methods - p. 23 3. 2.1 Introduction - p. 23 4. 2.2 Fine-scale problem - p. 25 5. 2.3 Asymptotic multiscale homogenization - p. 27 6. 2.4 2D Unite cell homogenization with periodic boundary condition - p. 34 7. 2.5 Computational linear homogenization in 2D mesoscale - p. 37 8. 2.6 3D mesoscale model computational linear homogenization - p. 40 9. 2.7 Coupling boundary problem - p. 43 10. 2.8 Adaptive multiscale modeling in computational mechanics - p. 50 11. 2.9 Strategies for coupling scales - p. 51 12. 2.10 Conclusion - p. 55 13. 3. Mesoscopic modeling of concrete - p. 59 14. 4. Mesoscopic modeling of concrete under high strain rates - p. 111 15. 5. Bond stress–slip behavior and modeling for reinforced concrete - p. 133 16. 6. Numerical and analytical analysis of progressive collapse resistance in reinforced concrete subassemblages - p. 175 17. 6.1 Introduction - p. 175 18. 6.2 Review and recent advances in progressive collapse analysis - p. 180 19. 6.3 Multiscale modeling framework for progressive collapse - p. 207 20. 6.4 Case study A: Multiscale RC beam–column under catenary action - p. 221 21. 6.5 Case study B: multiscale RC beam–slab under TMA - p. 256 22. 6.6 Case study C: Analytical approach to assess progressive collapse resistance of RC beam–slab structures - p. 275 23. 6.7 Summary - p. 281 24. 7. Impact and penetration analysis of RC structures - p. 291 25. 7.1 Introduction - p. 291 26. 7.2 Finite element modeling of RC slabs under projectile impact - p. 301 27. 7.3 Parametric analysis - p. 304 28. 7.4 Analytical modeling based on cavity expansion theory - p. 311 29. 7.5 Summary - p. 319 30. 7.6 D mesoscale formation - p. 332 31. 8. Machine learning applications in concrete modeling - p. 367 32. 9. Conclusions - p. 415 33. Appendix Supplementary Materials - p. 421 34. Index - p. 487
Multiscale Finite Element Simulation of Reinforced Concrete: The Impact of Extreme Loading Conditions on Structures and Materials provides readers with a fully-fledged theoretical framework of multiscale finite element analysis for the performance of reinforced concrete structures under extreme loads. The book updates readers by demonstrating novel methods and the latest developments that have recently been introduced into the field. It includes detailed explanations of advanced modeling techniques, insights into computational methods, clear guidance on their software implementation, theory, practice, and real world case studies and numerical simulations, thus enabling readers to apply advanced finite element analysis techniques to evaluate real-world engineering problems.
In addition, the book discusses engineering challenges, including design optimization, regulatory compliance, and cost-effectiveness.
1. 1. Introduction to multiscale analysis of concrete structures - p. 1 2. 2. Theoretical foundations for multiscale finite element methods - p. 23 3. 2.1 Introduction - p. 23 4. 2.2 Fine-scale problem - p. 25 5. 2.3 Asymptotic multiscale homogenization - p. 27 6. 2.4 2D Unite cell homogenization with periodic boundary condition - p. 34 7. 2.5 Computational linear homogenization in 2D mesoscale - p. 37 8. 2.6 3D mesoscale model computational linear homogenization - p. 40 9. 2.7 Coupling boundary problem - p. 43 10. 2.8 Adaptive multiscale modeling in computational mechanics - p. 50 11. 2.9 Strategies for coupling scales - p. 51 12. 2.10 Conclusion - p. 55 13. 3. Mesoscopic modeling of concrete - p. 59 14. 4. Mesoscopic modeling of concrete under high strain rates - p. 111 15. 5. Bond stress–slip behavior and modeling for reinforced concrete - p. 133 16. 6. Numerical and analytical analysis of progressive collapse resistance in reinforced concrete subassemblages - p. 175 17. 6.1 Introduction - p. 175 18. 6.2 Review and recent advances in progressive collapse analysis - p. 180 19. 6.3 Multiscale modeling framework for progressive collapse - p. 207 20. 6.4 Case study A: Multiscale RC beam–column under catenary action - p. 221 21. 6.5 Case study B: multiscale RC beam–slab under TMA - p. 256 22. 6.6 Case study C: Analytical approach to assess progressive collapse resistance of RC beam–slab structures - p. 275 23. 6.7 Summary - p. 281 24. 7. Impact and penetration analysis of RC structures - p. 291 25. 7.1 Introduction - p. 291 26. 7.2 Finite element modeling of RC slabs under projectile impact - p. 301 27. 7.3 Parametric analysis - p. 304 28. 7.4 Analytical modeling based on cavity expansion theory - p. 311 29. 7.5 Summary - p. 319 30. 7.6 D mesoscale formation - p. 332 31. 8. Machine learning applications in concrete modeling - p. 367 32. 9. Conclusions - p. 415 33. Appendix Supplementary Materials - p. 421 34. Index - p. 487
