Solutions for Biot's Poroelastic Theory in Key Engineering Fields: Theory and Applications provides solutions related to soil-structure interactions based on a poroelasticity theory, including moving loads such as trains. This book provides the commonly used methods for solving Biot’s formulations and conclusions on fully-saturated soil dynamics. It presents various solution methods used in Biot’s theory, such as the integral transformation method, the wave potential decomposition method, the finite element, and the 2.5D finite element method. It is suitable for graduate students, researchers and engineers who are interested in the soil-structure interaction problem with Biot’s theory, as well as engineers in several subdisciplines.
1. Introduction - p. vii 2. Chapter 1: Basic Equations and Governing Equations - p. vii 3. Chapter 2: Solutions for Saturated Soil Under Moving Loads and Engineering Applications - p. 8 4. Chapter 3: Problems for Vibrations of Foundations - p. 36 5. Chapter 4: Dynamic Responses of Foundations Under Elastic Waves - p. 54 6. Chapter 5: Isolation of Elastic Waves - p. 83 7. Abstract - p. 85 8. 5.1 Isolation of Elastic Plane Waves in Poroelastic Soil - p. 85 9. 5.2 Isolation of Rayleigh Waves in Poroelastic Soil - p. 100 10. 5.3 Engineering Application - p. 114 11. Chapter 6: Biot's Theory in the Finite Element Method - p. 118 12. Abstract - p. 119 13. 6.1 Formulation of the Saturated Soil Elements - p. 120 14. 6.2 Absorbing Boundary Condition for the Saturated Soil Element - p. 130 15. 6.3 Conclusions - p. 153 16. Appendix A - p. 155 17. Appendix B - p. 157 18. Appendix C - p. 159 19. Appendix D - p. 161 20. Appendix E - p. 163 21. Appendix F - p. 165 22. Appendix G - p. 167 23. References - p. 169 24. Index - p. 173
Solutions for Biot's Poroelastic Theory in Key Engineering Fields: Theory and Applications provides solutions related to soil-structure interactions based on a poroelasticity theory, including moving loads such as trains. This book provides the commonly used methods for solving Biot’s formulations and conclusions on fully-saturated soil dynamics. It presents various solution methods used in Biot’s theory, such as the integral transformation method, the wave potential decomposition method, the finite element, and the 2.5D finite element method. It is suitable for graduate students, researchers and engineers who are interested in the soil-structure interaction problem with Biot’s theory, as well as engineers in several subdisciplines.
1. Introduction - p. vii 2. Chapter 1: Basic Equations and Governing Equations - p. vii 3. Chapter 2: Solutions for Saturated Soil Under Moving Loads and Engineering Applications - p. 8 4. Chapter 3: Problems for Vibrations of Foundations - p. 36 5. Chapter 4: Dynamic Responses of Foundations Under Elastic Waves - p. 54 6. Chapter 5: Isolation of Elastic Waves - p. 83 7. Abstract - p. 85 8. 5.1 Isolation of Elastic Plane Waves in Poroelastic Soil - p. 85 9. 5.2 Isolation of Rayleigh Waves in Poroelastic Soil - p. 100 10. 5.3 Engineering Application - p. 114 11. Chapter 6: Biot's Theory in the Finite Element Method - p. 118 12. Abstract - p. 119 13. 6.1 Formulation of the Saturated Soil Elements - p. 120 14. 6.2 Absorbing Boundary Condition for the Saturated Soil Element - p. 130 15. 6.3 Conclusions - p. 153 16. Appendix A - p. 155 17. Appendix B - p. 157 18. Appendix C - p. 159 19. Appendix D - p. 161 20. Appendix E - p. 163 21. Appendix F - p. 165 22. Appendix G - p. 167 23. References - p. 169 24. Index - p. 173
