A Unified Hardening Constitutive Theory for Soils: Fundamentals of Plasticity for Geomaterials provides a unified hardening (UH) theory capable of uniformly describing the behaviors of both sand and clay. The models developed within the UH theory framework are characterized by their simplicity and efficiency, requiring only a few parameters that have clear physical meanings. The book not only deepens the theoretical understanding of soil mechanics and related fields but also provides a practical reference for a wide range of civil engineering and geotechnical applications.
The insights and outcomes presented are important in terms of advancing theoretical knowledge and facilitating practical engineering solutions.
1. 1. Introduction - p. 1 2. 2. Basis of elastoplastic constitutive theory for soils - p. 13 3. 2.1 Stress and strain - p. 13 4. 2.2 Stress-strain relationship - p. 24 5. 2.3 Classical strength criterion - p. 33 6. 2.4 Classical Cam-clay model - p. 46 7. 2.4.1 Original Cam-clay model - p. 47 8. 2.4.1.1 Elasticity - p. 47 9. 2.4.1.2 Flow rule - p. 49 10. 2.4.1.3 Yield function and plastic potential function - p. 49 11. 2.4.1.4 Hardening variable - p. 50 12. 2.4.1.5 Plastic strain - p. 53 13. 2.4.1.6 Stiffness matrix and compliance matrix - p. 56 14. 2.4.2 Modified Cam-clay model - p. 57 15. 2.4.3 Features of modified Cam-clay model - p. 63 16. 2.4.4 State lines of soils - p. 68 17. 2.5 Conclusion - p. 70 18. 3. Transformed stress method for generalization of constitutive model - p. 73 19. 3.1 Generalized nonlinear strength criterion for soils - p. 73 20. 3.2 Transformed stress method - p. 82 21. 3.3 Generalization of modified Cam-clay model - p. 93 22. 3.4 Conclusion - p. 104 23. 4. Original UH model: UH model for clays - p. 107 24. 5. Generalized UH model: UH model for clays and sands (CSUH model) - p. 131 25. 6. UHT°C model: UH model for clays considering temperature effects - p. 159 26. 7. UHt model: UH model for clays considering time effects - p. 175 27. 7.1 Isotropic compression characteristics considering time effects - p. 175 28. 7.2 Stress-strain-time relationship under isotropic compression state - p. 179 29. 7.3 UHt model formulation - p. 184 30. 7.4 Model features and validation - p. 189 31. 7.5 Conclusion - p. 194 32. 8. UHss model: UH model for clays reflecting small-strain behavior - p. 197 33. 9. UHus model: UH model for unsaturated soils - p. 213 34. 10. Numerical implementation and application of CSUH model - p. 237 35. 10.1 Numerical implementation of the CSUH model - p. 237 36. 10.2 Numerical application of the CSUH model - p. 252 37. 10.3 Conclusion - p. 261 38. Index - p. 263
A Unified Hardening Constitutive Theory for Soils: Fundamentals of Plasticity for Geomaterials provides a unified hardening (UH) theory capable of uniformly describing the behaviors of both sand and clay. The models developed within the UH theory framework are characterized by their simplicity and efficiency, requiring only a few parameters that have clear physical meanings. The book not only deepens the theoretical understanding of soil mechanics and related fields but also provides a practical reference for a wide range of civil engineering and geotechnical applications.
The insights and outcomes presented are important in terms of advancing theoretical knowledge and facilitating practical engineering solutions.
1. 1. Introduction - p. 1 2. 2. Basis of elastoplastic constitutive theory for soils - p. 13 3. 2.1 Stress and strain - p. 13 4. 2.2 Stress-strain relationship - p. 24 5. 2.3 Classical strength criterion - p. 33 6. 2.4 Classical Cam-clay model - p. 46 7. 2.4.1 Original Cam-clay model - p. 47 8. 2.4.1.1 Elasticity - p. 47 9. 2.4.1.2 Flow rule - p. 49 10. 2.4.1.3 Yield function and plastic potential function - p. 49 11. 2.4.1.4 Hardening variable - p. 50 12. 2.4.1.5 Plastic strain - p. 53 13. 2.4.1.6 Stiffness matrix and compliance matrix - p. 56 14. 2.4.2 Modified Cam-clay model - p. 57 15. 2.4.3 Features of modified Cam-clay model - p. 63 16. 2.4.4 State lines of soils - p. 68 17. 2.5 Conclusion - p. 70 18. 3. Transformed stress method for generalization of constitutive model - p. 73 19. 3.1 Generalized nonlinear strength criterion for soils - p. 73 20. 3.2 Transformed stress method - p. 82 21. 3.3 Generalization of modified Cam-clay model - p. 93 22. 3.4 Conclusion - p. 104 23. 4. Original UH model: UH model for clays - p. 107 24. 5. Generalized UH model: UH model for clays and sands (CSUH model) - p. 131 25. 6. UHT°C model: UH model for clays considering temperature effects - p. 159 26. 7. UHt model: UH model for clays considering time effects - p. 175 27. 7.1 Isotropic compression characteristics considering time effects - p. 175 28. 7.2 Stress-strain-time relationship under isotropic compression state - p. 179 29. 7.3 UHt model formulation - p. 184 30. 7.4 Model features and validation - p. 189 31. 7.5 Conclusion - p. 194 32. 8. UHss model: UH model for clays reflecting small-strain behavior - p. 197 33. 9. UHus model: UH model for unsaturated soils - p. 213 34. 10. Numerical implementation and application of CSUH model - p. 237 35. 10.1 Numerical implementation of the CSUH model - p. 237 36. 10.2 Numerical application of the CSUH model - p. 252 37. 10.3 Conclusion - p. 261 38. Index - p. 263
