Fundamentals of Micromechanics of Solidss

Fundamentals of Micromechanics of Solids

Volumn , Issue , 2007, Pages 1-386

  Qu, Jianmin ^a   Cherkaoui, Mohammed ^a  

^a Metz ^*  (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84889447904     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1002/9780470117835     Document Type: Book

References (154)

1. Eshelby, J. D. (1957). The Determination of Elastic Field of an Ellipsoidal Inclusion, and Related Problems, Proc. Roy. Soc. London, Vol. A241, pp. 376-396.
2. Krajcinovic, D. (1996). Damage Mechanics, North-Holland, New York.
3. Mura, T. (1987). Micromechanics of Defects in Solids, Martinus Nijhoff Pub., Boston.
4. Nemat-Nasser, S. and M. Hori (1993). Micromechanics: Overall Properties of Heterogeneous Materials, North-Holland, New York.
5. Christensen, R. M. (1982). Theory of Viscoelasticity-An Introduction, 2nd ed., Academic Press, New York.
6. Malvern, L. E. (1969). Introduction to the Mechanics of Continuous Medium, Prentice-Hall, Englewood Cliffs, NJ.
7. Ting, T. C. T. (1996). Anisotropic Elasticity-Theory and Applications, Oxford University Press, New York.
8. Fung, Y. C. (1965). Foundations of Solid Mechanics, Prentice-Hall, Englewood Cliffs, NJ.
9. Mura, T. (1987). Micromechanics of Defects in Solids, Martinus Nijhoff, Dordrecht.
10. Burgers, J. M. (1939). ''Some considerations on the fields of stress connected with dislocations in a regular crystal lattice, I, II,'' Proc. Kon. Nederl. Akad. Wetensch., Vo. 42, pp. 293-324 and pp. 378-399.
11. Mura, T. (1987). Micromechanics of Defects in Solids, Martinus Nijhoff, Boston, MA, Chapter 1.
12. Nemat-Nasser, S. and M. Hori. (1993). Micromechanics: Overall Properties of Heterogeneous Materials, North-Holland, New York.
13. Mura, T. (1987). Micromechanics of Defects in Solids, Martinus Nijhoff, Boston, Chapters 3-4.
14. Nemat-Nasser, S. and M. Hori. (1993). Micromechanics: Overall Properties of Heterogeneous Materials, North-Holland, New York, Chapter 7.
15. Krajinovic, D. (1996). Damage Mechanics, Elsevier, New York, Chapter 1.
16. Mura, T. (1987). Micromechanics of Defects in Solids, Martinus Nijhoff, Boston.
17. Nemat-Nasser, S. and Hori, M. (1993). Micromechanics: Overall Properties of Heterogeneous Materials, North-Holland, New York, Chapter 1.
18. Torquato, S. (2001). Random Heterogeneous Materials: Microstructure and Macroscopic Properties, Springer, New York.
19. Willis, J. R. (1982). Elasticity Theory of Composites, in Mechanics of Solids-The Rodney Hill 60th Anniversary Volume, H. G. Hopkins and M. J. Sewell, eds., Pergamon Press, Oxford. pp. 635-686.
20. Hashin, Z. and S. Shtrikman. (1961). Note on a Variational Approach to the Theory of Composite Elastic Materials, J. Franklin Inst., Vol. 271, pp. 336-341.
21. Hashin, Z. and S. Shtrikman. (1963). A Variational Approach to the Theory of the Elastic Behavior of Multiphase Materials, J. Mech. Phys. Solids, Vol. 11, pp. 127-140.
22. Mura, T. and T. Koya. (1992). Variational Methods in Mechanics, Oxford University Press, New York, Chapter 21.
23. Nemat-Nasser, S. and M. Hori. (1993). Micromechanics: Overall Properties of Heterogeneous Materials, North-Holland, New York, Chapter 3, Section 9.
24. Willis, J. R. (1977). Bounds and Self-Consistent Estimates for the Overall Properties of Anisotropic Composites, J. Mech. Phys. Solids, Vol. 25, pp. 185-202.
25. Willis, J. R. (1981). Variational and Related Methods for the Overall Properties of Composites, Adv. Appl. Mech., Vol. 21, pp. 1-78.
26. Benveniste, Y. (1987). A New Approach to the Application of Mori-Tanaka's Theory in Composite Materials, Mech. Mat., Vol. 6, pp. 147-157.
27. Christensen, R. M. (1990). A Critical Evaluation for a Class of Micromechanics Models, J. Mech. Phys. Solids, Vol. 38, pp. 379-404.
28. Christensen, R. M. (1991). Mechanics of Composite Materials, Krieger, Malabar, FL.
29. Hashin, Z. (1988). The Differential Scheme and Its Applications to Cracked Materials, J. Mech. Phys. Solids, Vol. 36, pp. 719-734.
30. Hill, R. (1963). Elastic Properties of Reinforced Solids: Some Theatrical Principles, J. Mech. Phys. of Solids, Vol. 11, pp. 357-372.
31. Hill, R. (1965). A Self-Consistent Mechanics of Composite Materials. J. Mech. Phys. Solids, Vol. 13, pp. 213-222.
32. McLaughlin, R. (1977). A Study of the Differential Scheme for Composite Materials, Int. J. Engng. Sci., Vol. 15, pp. 237-244.
33. Mori, T. and K. Tanaka. (1973). Average Stress in Matrix and Average Elastic Energy of Materials with Misfitting Inclusions, Acta Metall., Vol. 21, pp. 571-574.
34. Mura, T. (1987). Micromechanics of Defects in Solids, Martinus Nijhoff, Boston, Chapter 7, Section 45.
35. Nemat-Nasser, S. and M. Hori. (1993). Micromechanics: Overall Properties of Heterogeneous Materials, North-Holland, New York.
36. Norris, A. N. (1985). A Differential Scheme for the Effective Modulus of Composites, Mech. Mat., Vol. 4, pp. 1-16.
37. Walpole, L. J. (1969). On the Overall Elastic Moduli of Composite Materials, J. Mech. Phys. Solids, Vol. 17, pp. 235-251.
38. Walpole, L. J. (1981). Elastic Behavior of Composite Materials: Theoretical Foundations, Advances in Applied Mechanics, Vol. 21, pp. 169-242.
39. Christensen, R. M. and K. H. Lo. (1979). Solutions for Effective Shear Properties in Three Phase Sphere and Cylinder Models, J. Mech. Phys. Solids, Vol. 27, pp. 315-330.
40. Hashin, Z. (1962). The Elastic Moduli of Heterogeneous Materials, J. Appl. Mech., Vol. 29, pp. 143-150.
41. Hashin, Z. (1966). Viscoelastic Fiber Reinforced Materials, AIAA J., Vol. 4, pp. 1411-1417.
42. Hashin, Z. and B. W. Rosen. (1964). The Elastic Moduli of Reinforced-Reinforced Materials, J. Appl. Mech., Vol. 31, pp. 223-228.
43. Hashin, Z. and S. Shtrikman. (1963). A Variational Approach to the Theory of the Elastic Behavior of Multiphase Materials, J. Mech. Phys. Solids, Vol. 11, pp. 127-140.
44. Hervé, E. and A. Zaoui. (1993). N-Layered Inclusion-Based Micromechanical Modeling, Int. J. Eng. Sci., Vol. 31, pp. 1-10.
45. Hill, R. (1964). Theory of Mechanical Properties of Fibre-Strengthened Materials-I: Elastic Behavior,'' J. Mech. Phys. Solids, Vol. 12, pp. 199-212.
46. Li, G., Y. Zhao, and S. S. Pang. (1999). Four-Phase Sphere Modeling of Effective Bulk Modulus of Concrete, Cement and Concrete Research, Vol. 29, pp. 839-845.
47. Walpole, L. J. (1966). On the Bounds for Overall Elastic Moduli of Inhomogeneous Systems-I, J. Mech. Phys. Solids, Vol. 14, pp. 151-162.
48. Walpole, L. J. (1969). On the Overall Elastic Moduli of Composite Materials, J. Mech. Phys. Solids, Vol. 17, pp. 235-251.
49. Walsh, J. B., W. F. Brace, and A. W. England. (1965). The Effect of Porosity on Compressibility of Glass, J. Am. Ceram. Soc., Vol. 48, pp. 605-608.
50. Bardella, L. and F. Genna. (2001). On the Elastic Behavior of Syntactic Foams, Int. J. Solids Structures, Vol. 38, pp. 7235-7260.
51. Benveniste, Y. (1987). A New Approach to the Application of Mori-Tanaka's Theory in Composite Materials, Mech. Mater., Vol. 6, pp. 147-157.
52. Benveniste, Y., G. J. Dvorak, and T. Chen. (1989). Stress Field in Composite with Coated Inclusions, Mech. Mater., Vol. 7, pp. 305-317.
53. Budiansky, B. and T. Wu. (1962). Theoretical Prediction of Plastic Strains in Polycrystals, In Proc. 4th U.S. Nat. Cong. Theo. Appl. Mech., pp. 1175-1183.
54. Cherkaoui, M., H. Sabar, and M. Berveiller. (1994). Micromechanical Approach of the Coated Inclusion Problem and Applications to Composite Materials, J. Eng. Mater. Tech., Vol. 116, pp. 274-278.
55. Cherkaoui, M., H. Sabar, and M. Berveiller. (1995). Elastic Composites with Coated Reinforcements: A Micromechanical Approach for Nonhomothetic Topology, Int. J. Eng. Sci., Vol. 33, pp. 829-843.
56. Christensen, R. M. (1991). Mechanics of Composite Materials, Krieger, Malabar, FL.
57. El Mouden, M., M. Cherkaoui, A. Molinari, and M. Berveiller. (1998). The Overall Elastic Response of Materials Containing Coated Inclusions in a Periodic Array, Int. J. Engng. Sci., Vol. 36, pp. 813-829.
58. Hashin, Z. and P. J. M. Monteiro. (2003). An Inverse Method to Determine the Elastic Properties of the Interphase between the Aggregate and the Cement Paste, Cem. Conc. Res., Vol. 32, pp. 1291-1300.
59. Heukamp, F. H., E. Lemarchand, and F. J. Ulm. (2005). The Effect of Interfacial Properties on the Cohesion of Highly Filled Composite Materials, Int. J, Solids Structures, Vol. 42, 287-305.
60. Hill, R. (1963). Elastic Properties of Reinforced Solids: Some Theoretical Principles, J. Mech. Phys. of Solids, Vol. 11, pp. 357-372.
61. Hill, R. (1995). A Self-Consistent Mechanics of Composite Materials, J. Mech. Phys. Solids, Vol. 13, pp. 213-222.
62. Hori, M. and S. Nemat-Nasser. (1993). Double-Inclusion Model and Overall Moduli of Multi-Phase Composites, Mech. Mater., Vol. 14, pp. 189-206.
63. Jasiuk, I. and M. W. Kouider. (1993). The Effect of an Inhomogeneous Interphase on the Elastic Constants of Transversely Isotropic Composites, Mech. Mater., Vol. 15, pp. 53-63.
64. Mura, T. (1987). Micromechanics of Defects in Solids, Martinus Nijhoff, Boston.
65. Nemat-Nasser, S. and M. Hori. (1993). Micromechanics: Overall Properties of Heterogeneous Materials, North-Holland, New York.
66. Norris, A. N. (1985). A Differential Scheme for the Effective Modulus of Composites, Mech. Mater., Vol. 4, pp. 1-16.
67. Qiu, Y. P. and G. J. Weng. (1991). Elastic Moduli of Thickly Coated Particle and Fiber-Reinforced Composites, J. Appl. Mech., Vol. 58, pp. 388-398.
68. Christensen, R. M. (1979). Mechanics of Composite Materials, Krieger, Malabar, FL.
69. Agarwal, B. D. and L. J. Broutman. (1990). Analysis and Performance of Fiber Composites, Wiley, New York.
70. Chawla, K. K. (1987). Composite Materials-Science and Engineering, Springer, New York.
71. Hyer, M. W. (1998). Stress Analysis of Fiber-Reinforced Composite Materials, McGraw-Hill, Boston.
72. Achenbach, J. D. and H. Zhu. (1989). Effects of Interfacial Zone on Mechanical Behavior and Failure of Fiber-Reinforced Composites, J. Mech. Phys. Solids, Vol. 37, pp. 381-393.
73. Budiansky, B. and Y. Cui. (1995). Toughening of Ceramics by Short Aligned Fibers, Mech. Mater., Vol. 21, pp. 139-146.
74. Cui, Y. (1992). Interaction of Fiber and Transformation Toughening, J. Mech. Phys. Solids, Vol. 40, pp. 1837-1850.
75. Hutchinson, J. W. and Z. Suo. (1991). Mixed Mode Cracking in Layered Materials, Adv. Appl. Mech., Vol. 29, pp. 62-191.
76. Mura, T. (1987). Micromechanics of Defects in Solids, Martinus Nijhoff, Boston.
77. Qu, J. (1993a). Eshelby Tensor for an Elastic Inclusion with Slightly Weakened Interface, J. Appl. Mech., Vol. 60, pp. 1048-1050.
78. Qu, J. (1993b). Effects of Slightly Weakened Interfaces on the Overall Elastic Properties of Composite Materials, Mech. Mater., Vol. 14, p. 269-281.
79. Qu, J. and J. L. Bassani. (1993). Interfacial Fracture Mechanics for Anisotropic Bimaterials, J. Appl. Mech., Vol. 60, pp. 422-431.
80. Qu, J. and K. Hoiseth. (1998). Evolution of Transverse Matrix Cracking in Cross-Ply Laminates, Int. J. Fatigue Fracture Eng. Mater. Structures, Vol. 21, pp. 451-464.
81. Tada, H., P. Paris, and G. R. Irwin. (1985). The Stress Analysis of Cracks Handbook, Del Research, St. Louis.
82. Varna, J., and L. A. Berglund. (1991). Multiple Transverse Cracking and Stiffness Reduction in Cross-Play Laminates, J. Composites Tech. Res., JCTRER, Vol. 27, pp. 99-106.
83. Xia, Z. C., J. W. Hutchinson, A. G. Evans, and B. Budiansky. (1994). On Large Scale Sliding in Fiber-Reinforced Composite, J. Mech. Phys. Solids, Vol. 42, pp. 1139-1158.
84. Budiansky, B. and J. W. Hutchinson. (1986). Matrix Fracture in Fiber-Reinforced Ceramics, J. Mech. Phys. Solids, Vol. 34, pp. 167-189.
85. Christensen, R. M. (1979). Mechanics of Composite Materials, Wiley, New York.
86. Hashin, Z. (1985). Analysis of Cracked Laminates: A Variational Approach, Mech. Mater., Vol. 4, pp. 121-136.
87. Hoiseth, K. and J. Qu. (2003). Cracking Paths at the Ply Interface in a Cross-Ply Laminate, Composites Part B: Engr., Vol. 34, pp. 437-445.
88. Laws, N. and D. J. Dvorak. (1988). Progressive Transverse Cracking in Composite Laminates, J. Composite Mater., Vol. 22, pp. 900-916.
89. Xia, Z. C., R. R. Carr, and J. W. Hutchinson. (1993). Transverse Cracking in Fiber-Reinforced Brittle Matrix, Cross-Ply Laminates, Acta Metall., Vol. 41, pp. 2365-2376.
90. Asaro, R. J. (1983). Crystal Plasticity, J. Appl. Mech., Vol. 50, pp. 921-934.
91. Asaro, R. J. and J. R. Rice (1977). Strain Localization in Ductile Single Crystals, J. Mech. Physics Solids, Vol. 25, pp. 309-338.
92. Ashby, M. F. and Frost, H. J. (1975). The Kinematics of Inelastic Deformation Above 0 K, in Constitutive Equations in Plasticity, A. S. Argon, ed., MIT Press, Cambridge. pp. 117.
93. Berveiller, M. and A. Zaoui (1979). An Extension of the Self-Consistent Scheme to Plastically-Flowing Polycrystals, J. Mech. Phys. Solids, Vol. 26, pp. 325-344.
94. Bishop, J. F. W. and R. Hill (1951). A Theoretical Derivation of the Plastic Properties of a Polycrystalline Facecentered Metal, Phil. Mag. Vol. 42, pp. 1298-1307.
95. Bragg, W. H. and W. L. Bragg (1933). The Crystalline State, Bell, London.
96. Budiansky, B. and O. L. Mangasarian (1960). Plastic Stress Concentration at Circular Hole in Infinite Sheet Subjected to Equal Biaxial Tension, J. Appl. Mech., Vol. 27, pp. 59-64.
97. Buryachenko, V. (1996). The Overall Elastoplastic Behavior of Multiphase Materials with Isotropic Components, Acta Mech., Vol. 119, pp. 93-117.
98. Castañeda, P. (1991). The Effective Mechanical Properties of Nonlinear Isotropic Composites, J. Mech. Phys. Solids, Vol. 39, pp. 45-71.
99. Castañeda, P. (1996). Exact Second-Order Estimates for the Effective Mechanical Properties of Nonlinear Composite Materials, J. Mech. Phys. Solids, Vol. 44, pp. 827-862.
100. Dvorak, G. J. (1992). Transformation-Field Analysis of Inelastic Composite Materials, Proc. R. Soc. London, Ser. A, Vol. 431, pp. 89-110.
101. Ewing, J. A. and W. Rosenhain (1900). Experiments In Micro-Metallurgy: Effects of Strain. Preliminary Notice, Philos. Trans. R. Soc. Lond., Vol. A199, pp. 85-90.
102. Eshelby, J. D. (1957). The Determination of the Elastic Field of an Ellipsoidal Inclusion and Related Problems, Proc. Roy. Soc. Lond. Vol. A241, pp. 376-396.
103. Gilormini, P. (1997). Shortcomings of Several Extensions of the Self Consistent Model for Heterogeneous, Nonlinear Solids, Revue de Metallurgie, Vol. 94, pp. 1081-1087.
104. Hill, R. (1965). Continuum Micro-mechanics of Elastoplastic Polycrystals, J. Mech. Phys. Solids, Vol. 13, pp. 89-101.
105. Hill, R. (1966). Generalized Constitutive Relations for Incremental Deformation of Metals by Multislip, J. Mech. Phys. Solid, Vol. 14, p. 99.
106. Hill, R. and K. S. Havner (1982). Perspectives in the Mechanics of Elastoplastic Crystals, J. Mech. Phys. Solids, Vol. 30, pp. 5-22.
107. Hill, R. and J. R. Rice (1972). Constitutive Analysis of Elasto-Plastic Crystals at Arbitrary Strains, J. Mech. Phys. Solids, Vol. 20, pp. 401-413.
108. Hu, G. (1996). A Method of Plasticity for General Aligned Spheroidal Void of Fiber-Reinforced Composites, Int. J. Plasticity, Vol. 12, pp. 439-449.
109. Hutchinson, J. W. (1970). Elastic-Plastic Behaviour of Polycrystalline Metals and Composites, Proc. R. Soc. Lond., Vol. A319, pp. 247-272.
110. Hutchinson, J. W. (1976). Bounds of Self-Consistent Estimates for Creep of Polycrystalline Materials, Proc. R. Soc. Lond., Vol. A348, pp. 101-127.
111. Kröner, E. (1961). Zur plastischen Verformung des Vielkristalls, Acta Metall., Vol. 9, pp. 155-161.
112. Lebensohn, R. and C. N. Tomé (1993). A Self-Consistent Anisotropic Approach for the Simulation of Plastic Deformation and Texture Development of Polycrystals Applications to Zirconium Alloys, Acta Metall. Mater., Vol. 41, pp. 2611-2624.
113. Masson, R. and A. Zaoui (1999). Self-Consistent Estimates for the Rate-Dependent Elastoplastic Behaviour of Polycrystalline Materials, J. Mech. Phys. Solids, Vol. 47, pp. 1543-1568.
114. Molinari, A., G. R. Canova, and S. Ahzi (1987). A Self-Consistent Approach of the Large Deformation Polycrystal Viscoplasticity, Acta Metall., Vol. 35, pp. 2983-2994.
115. Kneer, G. (1965). Uber die Berechnung der Elastizitatsmoduln vielkristalliner Aggregate mit Textur, Phys. Stat. Sol., Vol. 9, pp. 825-838.
116. Polanyi, von M. (1922). Rontgenographische Bestimmung von Ksistallanordnunge, Naturwissenschaften, Vol. 10, p. 411.
117. Qui, Y. P. and G. J. Weng (1992). A Theory of Plasticity for Porous Materials and Particle-Reinforced Composites, J. Appl. Mech., Vol. 59, pp. 261-268.
118. Schmid, E. and W. Boas (1935). Kristallplastizität, Springer, Berlin, p. 64.
119. Sachs, G. (1928). Zur ableilung einer fleissbedingung (stresses causing flow), VDI Z., Vol. 72, pp. 734-736.
120. Suquet, P. (1993). Overall Potentials and Extremal Surfaces of Power Law or Ideally Plastic Materials, J. Mech. Phys. Solids, Vol. 41, pp. 981-1002.
121. Suquet, P. (1995). Overall Properties of Nonlinear Composites: A Modified Secant Moduli Theory and Its Link with Ponte Castañeda's Nonlinear Variational Procedure, C.R. Acad. Sci. Paris, Vol. 320 (Série IIb), pp. 563-571.
122. Talbot, D. and J. Willis (1985). Variational Principles for Inhomogeneous Nonlinear Media,'' IMA J. Appl. Math., Vol. 35, pp. 39-54.
123. Tandon, G. P. and G. J. Weng (1988). A Theory of Particle-Reinforced Plasticity, J. Appl. Mech., Vol. 55, pp. 126-135.
124. Taylor, G. I. (1934). Plastic Deformation of Crystals, Proc. Roy. Soc., Vol. A145, pp. 362-404.
125. Taylor, G. I. (1938). Plastic Strain in Metals, J. Inst. Metals, Vol. 62, p. 307.
126. Taylor, G. I. and C. F. Elam (1923). The Distortion of an Aluminum Crystal During a Tensile Test, Proc. Roy. Soc., Vol. A102, p. 647.
127. Taylor, G. I. and C. F. Elam (1925). The Plastic Extension and Fracture of Aluminum Crystals, Proc. Roy. Soc., Vol. A108, pp. 28-51.
128. Willis, J. R. (1983). The Overall Response of Composite Materials, J. Appl. Mech., Vol. 50, pp. 1202-1209.
129. Castañeda, P. (1991). The Effective Mechanical Properties of Nonlinear Isotropic Composites Materials, J. Mech. Phys. Solids, Vol. 39, pp. 45-71.
130. Castañeda, P. (1992). New Variational Principles in Plasticity and Their Applications to Composite Materials, J. Mech. Phys. Solids, Vol. 40, pp. 1757-1788.
131. Castañeda, P. (1996). Exact Second-Order Estimates for the Effective Mechanical Properties of Nonlinear Isotropic Composite Materials, J. Mech. Phys. Solids, Vol. 44, pp. 827-862.
132. Castañeda, P. and P. Suquet. (1995). On the Effective Mechanical Behavior of Weakly Inhomogenous Nonlinear Materials, Eur. J. Mech. A/Solids, Vol. 14, pp. 205-236.
133. Castañeda, P. and J. R. Willis. (1988). On the Overall Properties of Nonlinearly Viscous Composites, Proc. R. Soc. Lond. A, Vol. 416, pp. 217-244.
134. Castañeda, P. and M. Zaidman. (1994). Constitutive Models for Porous Materials with Evolving Microstructure, J. Mech. Phys. Solids, Vol. 42, pp. 1459-1497.
135. Gilormini, P. (1995). A Shortcoming of the Classical Nonlinear Extension of the Self Consistent Model, C. R. Acad. Sci. Paris, Série IIb, Vol. 320, pp. 115-122.
136. Hutchinson, J. W. (1976). Bounds and Self-Consistent Estimates for Creep of Polycrystalline Materials, Proc. R. Soc. Lond., Vol. A348, pp. 101-127.
137. Michel, J. C. and P. Suquet. (1992). The Constitutive Law of Nonlinear Viscous and Porous Material, J. Mech. Phys. Solids, Vol. 40, pp. 783-812.
138. Suquet, P. (1993). Overall Potentials and Extremal Surfaces of Power Law or Ideally Plastic Composites, J. Mech. Phys. Solids Struct., Vol. 41, pp. 981-1002.
139. Suquet, P. and P. Castañeda. (1993). Small-Contrast Perturbation Expansions for the Effective Properties of Nonlinear Composites, C.R. Accad. Sci. Paris, Série II, Vol. 317, pp. 1515-1522.
140. Qiu, Y. P. and G. G. Weng. (1992). A Theory of Plasticity for Porous Materials and Particle-Reinforced Composites, J. Appl. Mech., Vol. 59, pp. 261-268.
141. Cherkaoui, M., M. Berveiller, and X. Lemoine (2000) Couplings Between Plasticity and Martensitic Phase Transformation: Overall Behavior of Polycrystalline TRIP Steels, Int. J. Plasticity, Vol. 16, pp. 1215-1241.
142. Cherkaoui, M., M. Berveiller, and H. Sabar (1998). Micromechanical Modeling of Martensitic Transformation Induced Plasticity (TRIP) in Austenitic Single Crystals, Int. J. Plasticity, Vol. 14, pp. 597-626.
143. Eshelby, J. D. (1970). Energy Relations and the Energy-Momentum Tensor in Continuum Mechanics, In Inelastic Behavior of Solids, M. F. Kanninen, W. F. Alder, A. R. Rosenfield, and R. I. Joffee, eds., McGraw-Hill, New York, pp. 77-115.
144. Patel, J. R. and M. Cohen (1953). Criterion for the Action of Applied Stress in the Martensitic Transformation, Acta Metall., Vol. 1, pp. 531-538.
145. Wechsler, M. S., D. S. Lieberman, and T. A. Read (1953). On the Theory of the Formation of Martensite, AIME Trans. J. Metals, Vol. 197, pp. 1503-1515.
146. Diani, J. M., and D. M. Parks (1998). Effects of Strain State on the Kinetics of Strain Induced Martensite in Steels, J. Mech. Phys. Solids, Vol. 46, pp. 1613-1635.
147. Fischer, F. D. and S. M. Schlögl (1995). The Influence of Material Anisotropy on Transformation Induced Plasticity in Steel Subject to Martensitic Transformation, Mech. Mater., Vol. 21, pp. 1-23.
148. Franciosi, P., M. Berveiller, and A. Zaoui (1980). Latent Hardening in Copper and Aluminium Single Crystal, Acta Met., Vol. 28, pp. 273.
149. Gautier, E. and A. Simon (1988). In Phase Transformation, Vol. 87, G. W. Lorimer, ed., Institute of Metals, London, pp. 285-287.
150. Greenwood, G. W. and R. H. Johnson (1965). The Deformation of Metals under Small Stresses During Phase Transformation, Proc. Roy. Soc., Vol. A283, pp. 403.
151. Leblond, J. B., J. Devaux, and J. C. Devaux (1989) Mathematical Modelling of Transformation Plasticity in Steels, I: Case of Ideal-Plastic Phases, Int. J. Plasticity, Vol. 5, pp. 551-572.
152. Magee, C. L. (1966). Transformation Kinetics, Microplasticity and Aging of Martensite in Fe-31 Ni, Ph.D. Thesis, Carnegie Institute of Technology, Pittsburgh.
153. Olson, G. B. and M. Cohen (1975). Kinetics of Strain-Induced Martensitic Nucleation, Metall. Trans. A, Vol. 6A, pp. 791.
154. Stringfellow, R. G., D. M. Parks, and G. B. Olson (1992). A Constitutive Model for Transformation Plasticity Accompanying Strain-Induced Martensitic Transformation in Metastable Austenitic Steels, Acta Metall. Mater., Vol. 40, pp. 1703-1716.