Damage and Healing Mechanics of Materials: Metals and Metal Matrix Composites covers the fundamentals of damage mechanics, with various damage models presented coupled with elastic and elasto-plastic behavior. Experimental investigations and the related data for damage in composite materials are included, as are computational modeling and simulation methods for investigating damage and healing in various materials and structures. Healing mechanics using both scalars and more general theory based on tensor notations are discussed, as are applications of damage mechanics. Undamageable materials, the generalized method of cells, phase field modeling, cyclic plasticity concepts, and more are all also covered.
1. Chapter 1. Introduction - p. 1 2. Part I: Isotropic damage mechanics - scalar formulation - p. 7 3. Chapter 2. Uniaxial tension in metals - p. 11 4. Chapter 3. Uniaxial tension in elastic metal matrix composites - p. 23 5. Chapter 4. Uniaxial tension in elasto-plastic metal matrix composites: vector formulation - p. 39 6. Part II: Anisotropic damage mechanics - tensor formulation - p. 59 7. Chapter 5. Damage and elasticity in metals - p. 63 8. Chapter 6. Damage and plasticity in metals - p. 83 9. Abstract - p. 83 10. 6.1 Stress transformation between damaged and undamaged states - p. 83 11. 6.2 Strain rate transformation between damaged and undamaged states - p. 87 12. 6.3 The damage effect tensor M - p. 92 13. 6.4 Constitutive model - p. 95 14. 6.5 Application to void growth: Gurson’s model - p. 100 15. 6.6 Effective spin tensor - p. 103 16. 6.7 Application to ductile fracture – example - p. 103 17. Chapter 7. Metal matrix composites—overall approach - p. 121 18. Chapter 8. Metal matrix composites—local approach - p. 137 19. Chapter 9. Equivalence of the overall and local approaches - p. 151 20. Chapter 10. Metal matrix composites—local and interfacial damage - p. 163 21. Abstract - p. 163 22. 10.1 Assumptions - p. 163 23. 10.2 Theoretical formulation of the damage tensor M - p. 165 24. 10.3 Stress and strain concentration factors - p. 167 25. 10.4 The damage effect tensor - p. 172 26. 10.5 Effective volume fractions - p. 174 27. 10.6 Damage criterion and damage evolution - p. 175 28. 10.7 Constitutive model - p. 184 29. 10.8 Physical characterization of damage - p. 187 30. 10.9 Numerical solution of uniaxially loaded symmetric laminated composites - p. 189 31. 10.10 Finite element analysis - p. 190 32. Chapter 11. Symmetrization of the effective stress tensor - p. 207 33. Chapter 12. Experimental damage investigation - p. 227 34. Chapter 13. High cyclic fatigue damage for uni-directional metal matrix composites - p. 259 35. Chapter 14. Anisotropic cyclic damage-plasticity models for metal matrix composites - p. 275 36. Abstract - p. 275 37. 14.1 Anisotropic yield surface model for directionally reinforced metal matrix composites - p. 275 38. 14.2 Comparison with other anisotropic yield surfaces - p. 282 39. 14.3 Numerical simulation of the initial anisotropic yield surface - p. 285 40. 14.4 Cyclic damage models: constitutive modeling and micromechanical damage - p. 291 41. 14.5 Overall effective elasto-plastic stiffness tensor: micromechanical model - p. 294 42. 14.6 Overall effective elasto-plastic stiffness tensor: continuum-damage model - p. 298 43. 14.7 Damage - p. 298 44. 14.8 Numerical simulation and discussions - p. 302 45. Part III: Advanced topics in damage mechanics - p. 310 46. Chapter 15. Damage in metal matrix composites using the generalized cells model - p. 313 47. Chapter 16. The kinematics of damage for finite-strain elasto-plastic solids - p. 337 48. Chapter 17. A coupled anisotropic damage model for the inelastic response of composite materials - p. 361 49. Abstract - p. 361 50. 17.1 Theoretical formulation - p. 362 51. 17.2 Constitutive equations - p. 383 52. 17.3 Computational aspects of the model - p. 387 53. 17.4 Implementation of the viscoplastic damage model - p. 393 54. Part IV: Damage mechanics with fabric tensors - p. 405 55. Chapter 18. Damage mechanics with fabric tensors - p. 409 56. Abstract - p. 409 57. 18.1 Introduction - p. 409 58. 18.2 Fabric tensors - p. 412 59. 18.3 General hypothesis and new formulation of damage mechanics - p. 415 60. 18.4 The damage tensor and fabric tensors - p. 418 61. 18.5 Case of plane stress - p. 422 62. 18.6 Application to microcrack distributions - p. 424 63. 18.7 Application to parallel microcracks - p. 431 64. 18.8 Thermodynamics and damage evolution - p. 434 65. Chapter 19. Continuum approach to damage mechanics of composite materials with fabric tensors - p. 441 66. Abstract - p. 441 67. 19.1 Introduction - p. 441 68. 19.2 Continuum approach - p. 443 69. 19.3 Damage evolution - p. 448 70. 19.4 Example - p. 453 71. Chapter 20. Micromechanical approach to damage mechanics of composite materials with fabric tensors - p. 463 72. Abstract - p. 463 73. 20.1 Introduction - p. 463 74. 20.2 Elastic constitutive equations - p. 465 75. 20.3 Damage evolution - p. 471 76. 20.4 Numerical examples - p. 483 77. Chapter 21. Experimental study and fabric tensor quantification of micro-crack distributions in composite materials - p. 493 78. Part V: Introduction to healing mechanics - p. 516 79. Chapter 22. Mechanics of damage, healing, damageability, and integrity of materials - p. 519 80. Abstract - p. 519 81. 22.1 Introduction - p. 519 82. 22.2 The logarithmic damage variable - p. 521 83. 22.3 Integrity and damageability of materials - p. 530 84. 22.4 The integrity field - p. 538 85. 22.5 The healing field - p. 548 86. 22.6 Unhealable damage and nondamageable integrity - p. 551 87. 22.7 Generalized nonlinear healing - p. 555 88. 22.8 Dissection of the healing process - p. 564 89. 22.9 Conclusion - p. 568 90. Appendix 22.A : Limits of the damage variable - p. 569 91. Appendix 22.B : Composition of damage variables - p. 570 92. Chapter 23. Introduction to the mechanics and design of undamageable materials - p. 573 93. Chapter 24. The theory of elastic undamageable materials - p. 585 94. Chapter 25. Governing differential equations for the mechanics of undamageable materials - p. 599 95. Chapter 26. Continuum damage–healing mechanics with introduction to new healing variables - p. 621 96. Chapter 27. A thermodynamic consistent damage and healing model for self-healing materials - p. 639 97. Abstract - p. 639 98. 27.1 Introduction - p. 639 99. 27.2 Thermodynamic framework - p. 640 100. 27.3 Elastoplastic-damage–healing constitutive equations - p. 646 101. 27.4 Uniaxial constitutive equations - p. 651 102. 27.5 Numerical solution - p. 655 103. 27.6 Description of the proposed self-healing system - p. 656 104. 27.7 Computational aspects for a polymeric based self-healing system - p. 659 105. 27.8 Result and discussion - p. 661 106. 27.9 Conclusion - p. 665 107. Part VI: Applications of damage mechanics - p. 665 108. Chapter 28. Effects of fatigue damage and wear on fretting fatigue under partial slip condition - p. 669 109. Chapter 29. Phase field based nonlocal anisotropic damage mechanics model - p. 695 110. Chapter 30. Fatigue damage analysis of double-lap bolted joints considering the effects of hole cold expansion and bolt clamping force - p. 725 111. Chapter 31. Fatigue and fretting fatigue life prediction of double-lap bolted joints using continuum damage mechanics based approach - p. 745 112. Chapter 32. Analysis on the fatigue damage evolution of notched specimens with consideration of cyclic plasticity - p. 774 113. Bibliography - p. 799 114. Appendix A. Formulas for Chapter 7 - p. 829 115. Appendix B. Formulas for Chapter 8 - p. 831 116. Appendix C. Formulas for Chapter 11 - p. 833 117. Appendix D. Formulas for Chapter 12 - p. 839 118. Index - p. 841
Damage and Healing Mechanics of Materials: Metals and Metal Matrix Composites covers the fundamentals of damage mechanics, with various damage models presented coupled with elastic and elasto-plastic behavior. Experimental investigations and the related data for damage in composite materials are included, as are computational modeling and simulation methods for investigating damage and healing in various materials and structures. Healing mechanics using both scalars and more general theory based on tensor notations are discussed, as are applications of damage mechanics. Undamageable materials, the generalized method of cells, phase field modeling, cyclic plasticity concepts, and more are all also covered.
1. Chapter 1. Introduction - p. 1 2. Part I: Isotropic damage mechanics - scalar formulation - p. 7 3. Chapter 2. Uniaxial tension in metals - p. 11 4. Chapter 3. Uniaxial tension in elastic metal matrix composites - p. 23 5. Chapter 4. Uniaxial tension in elasto-plastic metal matrix composites: vector formulation - p. 39 6. Part II: Anisotropic damage mechanics - tensor formulation - p. 59 7. Chapter 5. Damage and elasticity in metals - p. 63 8. Chapter 6. Damage and plasticity in metals - p. 83 9. Abstract - p. 83 10. 6.1 Stress transformation between damaged and undamaged states - p. 83 11. 6.2 Strain rate transformation between damaged and undamaged states - p. 87 12. 6.3 The damage effect tensor M - p. 92 13. 6.4 Constitutive model - p. 95 14. 6.5 Application to void growth: Gurson’s model - p. 100 15. 6.6 Effective spin tensor - p. 103 16. 6.7 Application to ductile fracture – example - p. 103 17. Chapter 7. Metal matrix composites—overall approach - p. 121 18. Chapter 8. Metal matrix composites—local approach - p. 137 19. Chapter 9. Equivalence of the overall and local approaches - p. 151 20. Chapter 10. Metal matrix composites—local and interfacial damage - p. 163 21. Abstract - p. 163 22. 10.1 Assumptions - p. 163 23. 10.2 Theoretical formulation of the damage tensor M - p. 165 24. 10.3 Stress and strain concentration factors - p. 167 25. 10.4 The damage effect tensor - p. 172 26. 10.5 Effective volume fractions - p. 174 27. 10.6 Damage criterion and damage evolution - p. 175 28. 10.7 Constitutive model - p. 184 29. 10.8 Physical characterization of damage - p. 187 30. 10.9 Numerical solution of uniaxially loaded symmetric laminated composites - p. 189 31. 10.10 Finite element analysis - p. 190 32. Chapter 11. Symmetrization of the effective stress tensor - p. 207 33. Chapter 12. Experimental damage investigation - p. 227 34. Chapter 13. High cyclic fatigue damage for uni-directional metal matrix composites - p. 259 35. Chapter 14. Anisotropic cyclic damage-plasticity models for metal matrix composites - p. 275 36. Abstract - p. 275 37. 14.1 Anisotropic yield surface model for directionally reinforced metal matrix composites - p. 275 38. 14.2 Comparison with other anisotropic yield surfaces - p. 282 39. 14.3 Numerical simulation of the initial anisotropic yield surface - p. 285 40. 14.4 Cyclic damage models: constitutive modeling and micromechanical damage - p. 291 41. 14.5 Overall effective elasto-plastic stiffness tensor: micromechanical model - p. 294 42. 14.6 Overall effective elasto-plastic stiffness tensor: continuum-damage model - p. 298 43. 14.7 Damage - p. 298 44. 14.8 Numerical simulation and discussions - p. 302 45. Part III: Advanced topics in damage mechanics - p. 310 46. Chapter 15. Damage in metal matrix composites using the generalized cells model - p. 313 47. Chapter 16. The kinematics of damage for finite-strain elasto-plastic solids - p. 337 48. Chapter 17. A coupled anisotropic damage model for the inelastic response of composite materials - p. 361 49. Abstract - p. 361 50. 17.1 Theoretical formulation - p. 362 51. 17.2 Constitutive equations - p. 383 52. 17.3 Computational aspects of the model - p. 387 53. 17.4 Implementation of the viscoplastic damage model - p. 393 54. Part IV: Damage mechanics with fabric tensors - p. 405 55. Chapter 18. Damage mechanics with fabric tensors - p. 409 56. Abstract - p. 409 57. 18.1 Introduction - p. 409 58. 18.2 Fabric tensors - p. 412 59. 18.3 General hypothesis and new formulation of damage mechanics - p. 415 60. 18.4 The damage tensor and fabric tensors - p. 418 61. 18.5 Case of plane stress - p. 422 62. 18.6 Application to microcrack distributions - p. 424 63. 18.7 Application to parallel microcracks - p. 431 64. 18.8 Thermodynamics and damage evolution - p. 434 65. Chapter 19. Continuum approach to damage mechanics of composite materials with fabric tensors - p. 441 66. Abstract - p. 441 67. 19.1 Introduction - p. 441 68. 19.2 Continuum approach - p. 443 69. 19.3 Damage evolution - p. 448 70. 19.4 Example - p. 453 71. Chapter 20. Micromechanical approach to damage mechanics of composite materials with fabric tensors - p. 463 72. Abstract - p. 463 73. 20.1 Introduction - p. 463 74. 20.2 Elastic constitutive equations - p. 465 75. 20.3 Damage evolution - p. 471 76. 20.4 Numerical examples - p. 483 77. Chapter 21. Experimental study and fabric tensor quantification of micro-crack distributions in composite materials - p. 493 78. Part V: Introduction to healing mechanics - p. 516 79. Chapter 22. Mechanics of damage, healing, damageability, and integrity of materials - p. 519 80. Abstract - p. 519 81. 22.1 Introduction - p. 519 82. 22.2 The logarithmic damage variable - p. 521 83. 22.3 Integrity and damageability of materials - p. 530 84. 22.4 The integrity field - p. 538 85. 22.5 The healing field - p. 548 86. 22.6 Unhealable damage and nondamageable integrity - p. 551 87. 22.7 Generalized nonlinear healing - p. 555 88. 22.8 Dissection of the healing process - p. 564 89. 22.9 Conclusion - p. 568 90. Appendix 22.A : Limits of the damage variable - p. 569 91. Appendix 22.B : Composition of damage variables - p. 570 92. Chapter 23. Introduction to the mechanics and design of undamageable materials - p. 573 93. Chapter 24. The theory of elastic undamageable materials - p. 585 94. Chapter 25. Governing differential equations for the mechanics of undamageable materials - p. 599 95. Chapter 26. Continuum damage–healing mechanics with introduction to new healing variables - p. 621 96. Chapter 27. A thermodynamic consistent damage and healing model for self-healing materials - p. 639 97. Abstract - p. 639 98. 27.1 Introduction - p. 639 99. 27.2 Thermodynamic framework - p. 640 100. 27.3 Elastoplastic-damage–healing constitutive equations - p. 646 101. 27.4 Uniaxial constitutive equations - p. 651 102. 27.5 Numerical solution - p. 655 103. 27.6 Description of the proposed self-healing system - p. 656 104. 27.7 Computational aspects for a polymeric based self-healing system - p. 659 105. 27.8 Result and discussion - p. 661 106. 27.9 Conclusion - p. 665 107. Part VI: Applications of damage mechanics - p. 665 108. Chapter 28. Effects of fatigue damage and wear on fretting fatigue under partial slip condition - p. 669 109. Chapter 29. Phase field based nonlocal anisotropic damage mechanics model - p. 695 110. Chapter 30. Fatigue damage analysis of double-lap bolted joints considering the effects of hole cold expansion and bolt clamping force - p. 725 111. Chapter 31. Fatigue and fretting fatigue life prediction of double-lap bolted joints using continuum damage mechanics based approach - p. 745 112. Chapter 32. Analysis on the fatigue damage evolution of notched specimens with consideration of cyclic plasticity - p. 774 113. Bibliography - p. 799 114. Appendix A. Formulas for Chapter 7 - p. 829 115. Appendix B. Formulas for Chapter 8 - p. 831 116. Appendix C. Formulas for Chapter 11 - p. 833 117. Appendix D. Formulas for Chapter 12 - p. 839 118. Index - p. 841
