Mathematical modelling of materials behavior under creep conditions

Applied Mechanics Reviews

Volumn 54, Issue 2, 2001, Pages 107-132

  Betten, J ^a  

^a RWTH AACHEN UNIVERSITY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000938761     PISSN: 00036900     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.3097292     Document Type: Article

References (243)

1. Adams BL, Boehler JP, Guidi M, and Onat ET (1992), Group theory and representation of microstructure, and Mechanical behavior of polycrystals, JMech Phys Solids 40, 723-747.
2. Altenbach H, Altenbach J, and SchieBe P (1990), Konzept der Schãdigungs-mechanik und ihre Anwendung bei der werkstoffmechanischen Bautei-lanalyse, Tech Mech 11, 81-93.
3. Altenbach J, Altenbach H, and Zolochevsky A (1995), Erweiterte Deforma-tionsmodelle und Versagenskriterien der Werkstoffmechanik, Stuttgart, Deutscher Verlag fur Grundstoffindustrie.
4. Altenbach H, Morachkovsky O, Naumenko K, and Sychov A (1997), Geometrically nonlinear bending of thin-walled shells and plates under creep damage conditions, Arch Appl Mech 67,339-352.
5. Altenbach J, Altenbach H, and Naumenko K (1997), Lebensdauerabschàt-zung dünnwandiger Flãchentragwerke auf der Grundlage phenomenolo-gischer Materialmodelle fur Kriechen und Schâdigung, Tech Mech 12, 353-364.
6. Andrade da Costa EN (1910), The viscous flow in metals and allied phenomena, Proc R Soc London A 84, 1-12.
7. Andrade da Costa E N (1914), Flow of metals under large constant stress, Proc R Soc London A 90, 329-342.
8. Argon AS (1982), Mechanism and mechanics of fracture in creeping alloys, in Recent Advances in Creep and Fracture of Engineering Materials and Structures, B Wilshire and DRJ Owen DRJ (eds), 1-52, Swansea, Piner-age Press.
9. Arons RM and Tien JK (1980), Creep and strain recovery in hot-pressed silicon nitride, J Mat Sci 15, 2046-2058.
10. Avula XJR (1987), Mathematical modelling, Encyclopedia Phys Sci Tech 7, 719-728.
11. Bell JF (1973), The Experimental Foundations of Solid Mechanics, Encyclopedia of Physics, S Fliigge (ed), Vol VIa/1, Berlin and New York, Springer Verlag.
12. Bertram A and Olschewski J (1996), Anisotropic creep modeling of the single crystal superalloy SRR 99, J Comp Math 5,12-16.
13. Bertram A, Olschewski J, Zelewski M, and Sievert R (1981), Anisotropic creep modeling for fee single crystals, in Creep in Structures, Zyczkow-ski (ed), Berlin, Heidelberg, New York, Springer-Verlag.
14. Betten J (1973), Die Traglasttheorie der Statik als mathematisches Modell, Schweizerische Bauzeitung 91,6-9.
15. Betten J (1981a), Creep theory of anisotropic solids, J Rheol 25, 565-581, presented at the Golden Jubilee Meeting of the Society of Rheology, Boston, MA, 1979.
16. Betten J (1981b), Representation of constitutive equations in creep mechanics of isotropic and anisotropic materials, in Creep in Structures 1980, ARS Ponter and DR Hayhuist (eds), Berlin, Heidelberg, New York: Springer-Verlag, 179-201.
17. Betten J (1982a), Integrity basis for a second-order and a fourth-order tensor, Int J Math Math Sci 5, 87-96.
18. Betten J (1982b), Net-stress analysis in creep mechanics, Arch Appl Mech 52,405-419, presented at the “Second German-Polish Symp on Inelastic Solids and Structures”, Bad Honnef 1981.
19. Betten J (1983), Damage tensors in continuum mechanics, J de Méc Théori-que et Appliquée 2, 13-32, presented at Euromech Colloquium 147 on Damage Mechanics, Paris-VI, Cachan, 1981.
20. Betten J (1984), Interpolation methods for tensor functions, in Mathematical Modelling in Science and Technology, XJR Avula et al (eds) Pergamon Press, New York, 52-57.
21. Betten J (1985), The classical plastic potential theory in comparison with the tensor function Theory, Eng Fracture Mech 21, 641-652, presented at the Int Symp “Plasticity Today”, Udine 1983.
22. Betten J (1986), Applications of tensor functions to the formulation of constitutive equations involving damage and initial anisotropy, Eng Fracture Mech 25,573-584, presented at the IUTAM Symp on Mechanics of Damage and Fatigue, Haifa and Tel Aviv, Israel, 1985.
23. Betten J (1987), Tensorrechnung fur Ingenieure, Stuttgart: BG Teubner Verlag.
24. Betten J (1989a), Generalization of nonlinear material laws found in experiments to multi-axial states of stress, Eur JMech A/Solids 8, 325-339, presented at Euromech Colloquium 244 on Experimental Analysis of Nonlinear Problems in Solid Mechanics, Poznan, Poland 1988.
25. Betten J (1989b), Recent advances in mathematical modelling of materials behaviour, Presented as a General Lecture at the 7th Int Conf on Mathematical and Computer Modelling, Chicago 1989, published in the proceedings, XJR Avula (ed).
26. Betten J (1991a), Applications of tensor functions in creep mechanics, in Creep in Structures, M Zyczkowski (ed), 3-22, Springer-Verlag, Berlin/Heidelberg/New York, presented as a “general lecture" on the IU-TAM-Symposium in Cracow/Poland 1990.
27. Betten J (1991b), Recent advances in applications of tensor functions in solid mechanics, Adv Mech (Uspechi Mechaniki) 14, 79-109.
28. Betten J (1992), Applications of tensor functions in continuum damage mechanics, Int J Damage Mech 1, 47-59.
29. Betten J (1993), Kontinuumsmechanik, Springer-Verlag, Berlin, Heidelberg, New York.
30. Betten J (1998), Anwendungen von Tensorfunktionen in der Kontinuumsmechanik anisotroper Materialien, ZAMM 78, 507-521, Hauptvortrag auf der 75, GAMM-Tagung in Regensburg, 24-27, Mãrz 1997.
31. Betten J, Borrmann M, and Butters T (1989), Materialgleichungen zur Beschreibung des primaren Kriechverhaltens innendruckbeanspruchter Zylinderschalen aus isotropem Werkstoff, Arch Appl Mech 60, 99-109.
32. Betten J, Breitbach G, and Waniewski M (1990), Multiaxial anisotropic creep behaviour of rolled sheet-metals, ZAMM 70, 371-379.
33. Betten J and Butters T (1990), Rotationssymmetrisches Kriechbeulen diinn-wandiger Kreiszylinderschalen im primaren Kriechbereich, Forschung Ingenieur 56, 84-89.
34. Betten J, El-Magd E, Meydanli SC, and Palmen P (1995), Anisotropic damage growth under multi-axial stress: Theory and experiments, Arch Appl Mech 65, 110-120 and 121-132.
35. Betten J and Helisch W (1995), Integrity bases for a fourth-rank tensor, in IUTAM-Symposium on Anisotropy, Inhomogeneity, and Nonlinearity in Solid Mechanics, DF Parker and AH England (eds), 37-42, Kluwer Academic Publishers, Netherlands.
36. Betten J and Meydanli SC (1990), Materialgleichungen, DFG-Report Be 766/12-2, Z Angew Math Mech 75 (1995), 181-182.
37. Betten J and Shin CH (1992), Inelastic analysis of plastic compressible materials using the viscoplastic model, Int J Plasticity 8,977-985.
38. Betten J, Sklepus S, and Zolochevsky A (1998), A creep damage model for initially isotropic materials with different properties in tension and compression, Eng Fracture Mech 59, 623-641.
39. Betten J, Sklepus S, and Zolochevsky A (1999), A microcrack description of creep damage in crystalline solids with different behaviour in tension and compression, Int J Damage Mech 8,197-232.
40. Betten J and Waniewski M (1989), Multiaxial creep behaviour of anisotropic materials, Arch Mech 41, 679-695, presented at the Fourth Polish-German Symp on Mechanics of Inelastic Solids and Structures, Mogi-lany, Poland, 1987.
41. Betten J and Waniewski M (1995), Tensorielle Stoffgleichungen zur Beschreibung des anisotropen Kriechverhaltens isotroper Stoffe nach plastischer Verformung, ZAMM 75, 831-845.
42. Betten J and Waniewski M (1998), The strain path dependence of multiaxial cyclic hardening behaviour, Forschung Ingenieur 64, 231-244.
43. Blum W and Ilschner B (1967), Phys Stat Sol 20, 629.
44. Boehler JP (1979), A simple derivation of representations for nonpolynomial constitutive equations in some cases of anisotropy, ZAMM 59, 157-167.
45. Boehler JP (ed) (1987), Applications of Tensor Functions in Solid Mechanics, Springer-Verlag, Wien, New York.
46. Bodner SR and Hashin Z (ed) (1986), Mechanics of Damage and Fatigue, Pergamon Press, New York, Toronto.
47. Brown SGR, Evans RW, and Wilshire B (1986), Exponential descriptions of normal creep curves, Scripta Metallurgica 20, 855-860.
48. Brüller OS (1991), Some new aspects of the nonlinear characterization of creep and stress relaxation of polymers, in Creep in Structures, M Zyczkowski (ed), 55-62, Berlin: Springer-Verlag.
49. Chaboche JL (1974), Une Loi Différentielle d'Endommagement de Fatigue avec Cumulation non Linéaire, Revue Francaise de Mécanique, 50-51, English trans In Annales de I'IBTP 39.
50. Chaboche JL (1981), Continuous damage mechanics: A tool to describe phenomena before crack initiation, Nucl Eng Des 64,233-247.
51. Chaboche JL (1982), Mechanical Behavior of Anisotropic Solids, Boehler and M Nijhoff (eds), 737-760.
52. Chaboche JL (1984), Anisotropic creep damage in the framework of continuum damage mechanics, Nucl Eng Des 79, 304-319.
53. Chaboche JL (1988), Continuum damage mechanics - Part I: General concepts, Part II: Damage growth, crack initiation, and crack growth, J Appl Mech 55, 59-71.
54. Chaboche JL (1993), Development of continuum damage mechanics for elastic solids sustaining anisotropic and unilateral damage, Int J Damage Mech 2, 311-329.
55. Chaboche JL, Lesne PM, and Moire JF (1995), Continuum damage mechanics, anisotropy and damage deactivation for brittle materials like concrete and ceramic composites, Int J Damage Mech 4, 5-22.
56. Chan KS, Bodner SR, Fossum AF, and Munson DE (1997), A damage mechanics treatment of creep failure in rock salt, Int J Damage Mech 6, 121-152.
57. Chen XF and Chow CL (1995), On damage strain energy release rate Y, Int J Damage Mech 4, 251-263.
58. Cheng CY, Karim A, Langdom TG, and Dom JE (1968), Trans Met Soc AIME 242,584.
59. Chow CL and Lu TJ (1992), An analytical and experimental study of mixedmode ductile fracture under nonproportional loading, Int J Damage Mech I, 191-236.
60. Chow CL and Wang J (1987a), An anisotropic theory of elasticity for continuum damage mechanics, Int J Fracture 33, 3-16.
61. Chow CL and Wang J (1987b), An anisotropic theory of continuum damage mechanics for ductile fracture, Eng Fracture Mech 27, 547-558.
62. Chow CL and Wang J (1988), Ductile fracture characterization with an anisotropic continuum damage theory, Eng Fracture Mech 30, 547-563.
63. Chrzanowski M (1973), The Description of Metallic Creep in the Light of Damage Hypothesis and Strain Hardening, Krakow, Dissertation Politechnika Krakowska.
64. Chrzanowski M (1976), Use of the damage concept in describing creep-fatigue interaction under prescribed stress, Int J Mech Sci 18, 69-73.
65. Cocks ACF and Ashby MF (1982), On creep fracture by void growth, Prog Mat Sci 27, 189-244.
66. Cocks ACF and Lekie FA (1987), Creep constitutive equations for damaged materials, in Advances in Applied Mechanics, ThY Wu and JW Hutchinson (eds) 25, 239-294.
67. Cocks ACF and Ponter ARS (1985), Constitutive equations for the plastic deformation of solids, Leicester Univ Eng Dep Rep 85 -1 and 2.
68. Coffin LF (1954), A study of the effects of cyclic thermal stresses in a ductile metal, Trans ASME 76, 931.
69. Cordebois JP and Sidoroff F (1982), Damage induced elastic anisotropy. In: Mechanical Behavior of Anisotropic Solids, JP Boehler JP (ed), Marti-nus Nijhoff Publishers, 761-774.
70. Davison L and Kipp ME (1978), Calculation of spall damage accumulation in ductile metals, Proc IUTAM Symp High Velocity Deformation of Solids, Tokyo, Japan 1977, K Kawata and Shiratori (eds) 163-175, Springer-Verlag, New York.
71. Davison L and Stevens LE (1973), Thermodynamical constitution of spall-ing elastic bodies, J Mech Phys Solids 44, 668.
72. Davison L, Stevens LE, and Kipp ME (1977), Theory of spall damage accumulation in ductile metals, J Mech Phys Solids 25, 11-28.
73. Dragon A (1985), Plasticity and ductile fracture damage, Eng Fracture Mech 21, 875-892.
74. Dufailly J and Lemaitre J (1995), Modeling very low cycle fatigue, Int J Damage Mech 4, 153-170.
75. Dunne FPE and Hayhurst DR (1994), Efficient cycle jumping techniques for the modelling of materials and structures under cyclic mechanical and thermal loadings, EurJMech A/Solids 13,639-660.
76. Dunne FPE, Othman AM, Hall FR, and Hayhurst DR (1990), Representation of uni-axial creep curves using continuum damage mechanics, Int J Mech Sci 32, 945-957.
77. Dyson BF (1976), Constraints on difiusional cavity growth rates. Metal Sci 10,349-353.
78. Dyson BF (1983), Continuous cavity nucleation and creep fracture, Scripta Metall 17,31-37.
79. Edward GH, Ashby MF (1979), Intergranular fracture during power-law creep, Acta Metall 27, 1505-1518.
80. Evans HE (1984), Mechanisms of Creep Rupture, Elsevier Appl Sci Publ, London/New York.
81. Fett T, Keller K, and Munz D (1988), An analysis of the creep of hot-pressed silicon nitride in bending, JMat Sci 23,467-474.
82. Finnie I (1966), Method of predicting creep tension and compression from bending tests, J of the Am Ceramic Society 49, 218-220.
83. Frères P (1996), Entstehung und Wachstum von Mikrorissen in gekerbten Stdben unter Hochtemperatur-Kriechbeanspruchung, Dissertation RWTH-Aachen.
84. Ganczarski A and Skrzypek J (1995), Concept of thermo-damage coupling in continuum damage mechanics, First Int Symp Thermal Stresses '95, Hamamatsu, Japan, Act City, June 5-7, 1995, RB Hetnarski and N Noda (eds), 83-86.
85. Ganczarski A and Skrzypek J (1997), Optimal design of rotationally symmetric disks in thermo-damage coupling conditions, Tech Mech 17, 365-378.
86. Gittus J (1978), Irradiation Effects in Crystalline Solids, Applied Science Publ, London.
87. Goel RP (1975), On the creep rupture of a tube and a sphere, ASME Trans J Appl Mech, 43, 625-629.
88. Gorev BV, Rubanov VV, and Sosnin OV (1978), in: Strength of materials and Structural Members under Multiaxial Loading, GS Pisarenko GS (ed), 223-231, Naukova Dumka, Kiev.
89. Gorev BV, Rubanov VV, and Sosnin OV (1979a), J Appl Mech Tech Phys 4,121-128.
90. Gorev BV, Rubanov VV, and Sosnin OV (1979b), Strength of Materials 7, 62-67.
91. Grabacki JK (1994), Constitutive equations for some damaged materials, EurJMech A/Solids 13, 51-71.
92. Grady DE (1982), Local inertial effects in dynamic fragmentation, J Mech Phys Solids 53,322-325.
93. Grathwohl G (1984), Regimes of creep and slow crack growth in high-temperature rupture of hot-pressed silicon nitride, in Deformation of Ceramics II, Plenum Publishing Corp, 573-586.
94. Gross D (1996), Bruchmechanik, Berlin, Springer-Verlag, Heidelberg, New York.
95. Gurson AL (1977), Continuum theory of ductile rupture by void nucleation and growth - Part I: Yield criteria and flow rules for porous ductile media, ASME Trans J Eng Mat Tech 99, 2-13.
96. Hayakawa K and Murakami S (1997), Thermodynamical modeling of elastic-plastic damage and experimental validation of damage potential, Int J Damage Mech 6, 333-363.
97. Hayhurst DR (1972), Creep rupture under multiaxial states of stress, J Mech Phys Solids 20,381-390.
98. Hayhurst DR, Dimmer PR and Morrison CJ (1984), Development of continuum damage in the creep rapture of notched bars, Phil Trans R Soc London A 311,103.
99. Hayhurst DR and Leckie FA (1973), The effect of creep constitutive and damage relationships upon rapture time of solid circular torsion bar, J Mech Phys Solids 21, 431-446.
100. Hayhurst DR, Trampczynski WA, and Leckie FA (1980), Creep rupture and non-proportional loading, ActaMetall 28, 1171-1183.
101. rd IUTAM-Symposium, 289-307.
102. Hayman B (1981), Creep buckling: A general view of the phenomena. In: Creep in Structures, ARS Ponter and DR Hayhurst (eds), 289-307, Springer-Verlag, Berlin.
103. Heemann U and Stein E (1991), Transient creep in rock salt structures, in Creep in Structures, M Zyczkowski (ed), 91-98, Springer-Verlag, Berlin:.
104. Helisch W (1993), Invariantensysteme und Tensorgeneratoren bei Materi-altensoren zweiter und vierter Stufe, Dr-Ing Dissertation, RWTH-Aachen.
105. Helle SN and Tvergaard V (1998), Intergranular fracture under creep-fatigue interaction, Int J Damage Mech 1,3-23.
106. Hutchinson JW (1983), Constitutive behaviour and crack tip fields for materials undergoing creep-constrained grain boundary cavitation, Acta Metall 31,1079-1088.
107. Igari T, Setoguchi K, and Nomura S (1991), Prediction of macroscopic and load creep behavior of perforated plates, in: Creep in Structures, M Zyczkowski (ed) 579-586, Springer-Verlag, Berlin.
108. Ilschner B (1973), Hochtemperatur-Plastizitat, Springer-Verlag, Berlin, Heidelberg, New York.
109. Jakowluk A (1993), Process of Creep and Fatigue in Materials (in Polish), Wydawnictwa Naukowo-Techniczne, Warszawa.
110. Jakowluk A and Mieleszko E (1983), Method of optimizing the description of primary creep, Bulletin Polish Acad Sci, Appl Mech 31, 1-12.
111. Jakowluk A and Mieleszko E (1985), On the assumption of the creep potential existence, Bulletin Polish Acad Scis, Appl Mech 33,429-437.
112. Johnson AE (1960), Complex-stress creep of metals, Metall Rev 5,447-506.
113. Johnson JN (1981), Dynamic fracture and spallation in ductile solids, J Mech Phys Solids 53, 2812-2825.
114. Kachanov LM (1958), On the time to failure under creep conditions (in Russian), Izv Akad Nauk USSR Otd Tekh Nauk 8, 26-31.
115. Kachanov LM (1986), Introduction to continuum damage mechanics, Mar-tinus Nijhoff Publ, Dordrecht, Boston, Lancaster.
116. Kachanov M (1992), Effective elastic properties of cracked solids: critical review of some basic concepts, ASME Appl Mech Rev 45, 304-335.
117. Karihaloo BL and Fu D (1989), A damage-based constitutive law for plain concrete in tension, EurJ Mech A/Solids, 8, 373-384.
118. Kattan PI and Voyiadjis GZ (1990), A coupled theory of damage mechanics and ginite strain elasto-plasticity - I: Damage and elastic deformations, Int J Eng Sci 28, 421-435.
119. Kaviany M (1995), Principles of Heat Transfer in Porous Media, Springer-V erlag, New Y ork.
120. Kolsky H (1972), Some recent experimental investigations in stress-wave propagation and fracture, in Dynamic Response of Structures, G Herrmann and N Perrone (eds), 327-343, Pergamon, Oxford.
121. Kolsky H (1978), The role of experiment in the development of solid mechanics-some examples, in Advances in Applied Mechanics, Chia-Shun Yih (ed), Academic Press, New York, San Francisko, London, 309-368.
122. Kossowsky R, Miller DG, and Diaz ES (1975), Tensile and creep strength of hot-pressed SÍ3N4, JMat Sci 10, 983-997.
123. Kowalewski Z (1987), The surface of constant dissipation energy rate under creep and its experimental determination, Arch Mech 39,445-454.
124. Kowalewski Z (1991), The influence of deformation history on creep in pure copper, in Creep in Structures, M Zyczkowski (ed), 115-122, Springer-Verlag, Berlin.
125. Kowalewski Z (1996a), Creep rapture of copper under complex stress state at elevated temperatures, C494/037,1Mech E, 113-122.
126. Kowalewski Z (1996b), Experimental creep study of metals under multiaxial stress conditions, Mech Teor Stos, JAppl Mech 2,405-422.
127. Kowalewski Z (1996c), Biaxial creep study of copper on the basis of isochronous creep surfaces, Arch Mech 48, 89-109.
128. Krajcinovic D (1983), Constitutive equations for damaging materials, J Appl Mech 50, 355-360.
129. Krajcinovic D (1984), Continuum damage mechanics, ASME Appl Mech Rev 37,1-6.
130. Krajcinovic D (1989), Damage mechanics, Mech Mat 8,117-197.
131. Krajcinovic D (1996), Damage Mechanics, Elsevier, North-Holland, Am-sterdam/NewYorkATokyo.
132. Krajcinovic D and Fonseka GU (1981), The continuous damage theory of brittle materials, JAppl Mech 48, 809-815.
133. Krajcinovic D and Lemaitre J (ed) (1987), Continuum Damage Mechanics, Springer-Verlag, Wien, New York.
134. Ladeveze P (1990), A damage approach for composite structures theory and identification, in Mechanical Identification of Composites, A Vautrin and H Sol, Elsevier, 44-57.
135. Leckie FA and Hayhurst DR (1974), Creep rupture of structures, Proc R Soc London A 340, 323-347.
136. Leckie FA and Hayhurst DR (1977), Constitutive equations for creep rapture, Acta Metall 25,1059-1070.
137. Leckie FA and Ponter ARS (1974), On the state variable description of creeping materials, Arch Appl Mech 43, 158-167.
138. Leckie FA and Onat ET (1981), Physical Nonlinearities in Structural Analysis, J Hult and J Lemaitre, Springer-Verlag, Berlin
139. Lee H, Peng K, and Wang J (1985), An anisotropic damage criterion for deformation instability and its application to forming limit analysis of metal plates, Eng Fracture Mech 21, 1031-1054.
140. Lemaitre J (1984), How to use damage mechanics, Nucl Eng Des 80, 233-245.
141. Lemaitre J (1985), A continuum damage mechanics model for ductile fracture, ASME J Eng Mat Tech 107, 83-89.
142. Lemaitre J (1992), A Course on Damage Mechanics (second edition 1996), Springer Verlag, Berlin, Heidelberg, New York.
143. Lemaitre J and Chaboche JL (1975), A nonlinear model of creep fatigue damage cumulation and interaction, Proc IUTAM Symp Mechanics of Visco-Elastic Media and Bodies, J Hult (ed), Gothenburg, Sweden, Springer-V erlag, 291-301.
144. Lemaitre J and Chaboche JL (1990), Mechanics of Solid Materials, Cambridge University Press.
145. Li SX and Smith DJ (1995), High temperature fatigue-creep behaviour of single crystal SRR99 nickle base superalloys, Fracture Eng Mat Struct 18, Parti: 617-629, PartII: 631-643.
146. Lis Z (1992), Creep damage of solids under non-proportional loading, ZAMM 72.T164-T166.
147. Litewka A (1985), Effective material constants for orthotropically damaged elastic solids, Arch Mech 37, 631-642.
148. Litewka A (1989), Creep rupture of metals under multi-axial state of stress, Arch Mech 41, 3-23.
149. Litewka A and Hult J (1989), One parameter CDM model for creep rapture prediction, EurJ Mech A/Solids 8, 185-200.
150. Litewka A and Morzynska J (1989), Theoretical and experimental study of fracture for a damaged solid, Res Mechanica 27, 259-272.
151. Lubarda VA and Krajcinovic D (1993), Damage tensors and the crack density distribution, Int J Solids Struct 30, 2859-2877.
152. Lucas GE and Pelloux RMN (1981), Texture and stress state dependent creep in Zircaloy-2, Met Trans 12A, 1321-1331.
153. Manson SS (1979), Some useful concepts for the designer in treating cumulative damage at elevated temperature. ICM 3, Cambridge 1, 13-45.
154. Marigo JJ (1985), Modelling of brittle and fatigue damage for elastic material by growth of microvoids, Eng Fracture Mech 21, 861-874.
155. Matzenmiller A and Sackmann JL (1994), On Damage Induced Anisotropy for Fiber Composites, Int J Damage Mech 3,71-86.
156. Meydanli SC (1994), Tensorielle Beschreibung der Kriechschãdigungen in anisotropen Werkstoffen unter besonderer Beriicksichtigung des experi-mentellen Befundes, Dr-Ing Dissertation, RWTH-Aachen.
157. Miehe C (1995), Discontinuous and continuous damage evolution in Ogden-type large-strain elastic materials, EurJ Mech A/Solids, 14, 697-720.
158. 7C3 eutectic composite, Metall Sci 11, 563-570.
159. Monkman FC and Grant NJ (1956), An empirical relationship between rapture life and minimum creep rate in creep-rapture tests, Proc ASTM 56, 593-620.
160. Mou YH and Han RPS (1996), Damage evolution in ductile materials, Int J Damage Mech 5, 241-258.
161. Murakami S (1983), Notion of continuum damage mechanics and its application to anisotropic creep damage theory, J Eng Mat Tech 105, 99-105.
162. Murakami S (1987), Progress of continuum damage mechanics. JSME Int J SerA 30, 701-710.
163. Murakami S (1988), Mechanical modeling of material damage, Trans ASME, J Appl Mech 55, 280-286.
164. Murakami S, Hayakawa K and Liu Y (1998), Damage evolution and damage surface of elastic-plastic-damage materials under multiaxial loading, Int J Damage Mech 7, 103-128.
165. Murakami S and Kamiya K (1997), Constitutive and damage evolution equations of elastic-brittle materials based on irreversible thermo-dynamics, Int J Solids Struct 39,473-486.
166. Murakami S and Mizuno M (1992), A constitutive equation of creep, swelling and damage under neutron irradiation applicable to multiaxial and variable states of stress, Int J Solids Struct 29,2319-2328.
167. Murakami S and Ohno N (1981), A continuum theory of creep and creep damage, In: (ed: Ponter ARS, Hayhurst DR) Creep in Structures 1980, Berlin, Heidelberg, New York: Springer-Verlag, 422-444.
168. Murakami S, Sanomura Y, and Saitoh R (1986), Formulation of crosshardening in creep and its effect on the creep damage process of copper, J Eng Mat Tech 108, 167-173.
169. Murakami S and Sawczuk A (1981), A unified approach to constitutive equations of inelasticity based on tensor function representations, Nucl EngDes 65, 33-47.
170. Murakami S and Tanaka E (1976), On the creep buckling of circular shells, Int JMech Sci IS, 185-194.
171. Murzewski J (1992), Brittle and ductile damage of stochastically homogeneous solids, Int J Damage Mech 1, 276-289.
172. Najar J (1994), Brittle residual strain and continuum damage at variable uniaxial loading, Int J Damage Mech 3, 260-277.
173. Naumenko K (1996), Modellierung und Berechnung der Langzeitfestigkeit dünnwandiger Flàchentragwerke unter Einbeziehung von Werkstoff-kriechen und Schddigung, Otto-von-Guericke Universitãt Magdeburg, Preprint MBI-96-2, April 1996.
174. Nemes JA, Eftis J, and Randles PW (1990), Viscoplastic constitutive modeling of high strain-rate deformation, material damage and spall fracture, Trans ASME 57, 282-291.
175. Needleman A, Tvergaard V, and Giessen E (1995), Evolution of void shape and size in creeping solids, Int J Damage Mech 4,134-152.
176. Nicolini G (1999), Mikrostruklur und Zeitstandverhalten teilchengehárteter Hochtemperaturwerkstoffe, Dissertation, RWTH-Aachen.
177. Nishitani T (1978), Mechanical behaviour of nonlinear viscoelastic celluloid under superimposed hydrostatic pressure, Trans ASME, J Pressure Vessel Tech 100,271-276.
178. Norman EC and Duran SA (1970), Acta Metall 19, 723.
179. Obrecht H (1977), Creep buckling and postbuckling of circular cylindrical shells under axial compression, Int J Solids Struct 13, 337-355.
180. Odquist FKG (1966), Mathematical Theory of Creep and Creep Rupture, Oxford University Press.
181. Odquist FKG and Hult J (1962), Kriechfestigkeit metallischer Werkstojfe, Berlin, Gottingen, Heidelberg: Springer-Verlag.
182. Ohashi Y, Kawai M, and Momose T (1986) J Eng Mat Tech 108, 68-74.
183. Ohno N and Mizuno T (1991), Effects of Slip System and Lattice Rotation on Combined Tension-Torsion Creep of a Directionally Solidified Alloy, In: Creep in Structures (ed: "yczkowski M) 155-162. Berlin: Springer-Verlag.
184. Onat ET (1986), Representation of Mechanical Behavior in the Presence of Internal Damage, Eng Fracture Mech 25, 605-614, presented at the IU-TAM Symposium on Mechanics of Damage and Fatigue, Haifa and Tel Aviv, Israel, 1985.
185. Onat ET and Leckie FA (1988), Representation of mechanical behavior in the presence of changing internal structure, Trans ASME, J Appl Mech 55, 1-10.
186. Othmann AM, Hayhurst DR, and Dyson BF (1993), Skeletal point stresses in circumferentially notched tension bars undergoing tertiary creep modelled with physically based constitutive equations, Proc R Soc London 441,343-358.
187. Oytana C, Delobelle and Mermet A (1982), Constitutive equations study in biaxial experiments, J Eng Mat Tech 104, 1-11.
188. Perzyna P (1986), Internal state variable description of dynamic fracture of ductile solids, Int J Solids Struct 22, 797-818.
189. Pintschovius L, Gering E, Munz D, Fett T, and Soubeyroux JL (1989), Determination of non-symmetric secondary creep behaviour of ceramics by residual stress measurements using neutron diffractometry, J Mat Sci 8, 811-813.
190. Qi W (1998), Modellierung der Kriechschãdigung einkristalliner Superle-gierungen im Hochtemperaturbereich, Fortschritt-Berichte VDI 18: Mechanik/BruchmechanikNo. 230, Düsseldorf.
191. Qi W and Bertram A (1997), Anisotropic creep damage modeling of single crystal superalloys, Tech Mech 17, 313-332.
192. Rabotnov YN (1968), Creep Rupture, in: Hetenyi M; Vincenti H (ed), Appl Mech Conf, Stanford University, 342-349.
193. Rabotnov YuN (1969), Creep Problems in Structural Members, Amsterdam, London: North-Holland.
194. Reed-Hill RE (1973), Physical metallurgy Principles, New York: D van Nostrand Co.
195. Rice JR (1970), On the structure of stress-strain relations for time-dependent plastic deformations in metals, Trans ASME, J Appl Mech 37, 728-737.
196. Rice JR (1971), Inelastic constitutive relations for solids, J Mech Phys Solids 19,433-455.
197. Rice JR (1981), Constraints on the diffusive cavitation of isolated grain boundary facets in creeping polycrystals, Acta Metall 29, 675-681.
198. Rides M, Cocks AC, and Hayhurst DR (1989), The elastic response of damaged materials, J Appl Mech 56, 493-498.
199. Riedel H (1987), Fracture at High Temperatures, Berlin-Tokyo: Springer-Verlag.
200. Rivlin RS (1955), Further remarks on the stress-deformation relations for isotropic materials, JRat Mech Anal 4, 681-702.
201. Rivlin RS (1970), Nonlinear continuum theories in mechanics and physics and their applications, Roma: Edizioni Cremonese.
202. Rubanov VV (1987), Experimental Foundation of the Constitutive Equations of Creep for Materials with Different Behaviour in Tension and Compression, PhD Thesis, Institute of Hydrodynamics, Novosibirsk.
203. Saanouni K, Forster CH, and Ben Hatira F (1994), On the anelastic flow with damage, Int J Damage Mech 3, 140-169.
204. Sawczuk A and Anisimowicz M (1981), Tensor Functions Approach to Creep Laws after Prestrain, In: Creep in Structures (ed: Ponter ARS and Hayhurst DR), 220-232, Berlin, Heidelberg, New York: Springer-Verlag.
205. Sawczuk A and Trampczyski WA (1982), A Theory of Anisotropic Creep after Plastic Pre-Straining, Int JMech Sci 24,647-653.
206. SchieBe P (1994), Ein Beitrag zur Berechnung des Deformationsverhaltens anisotrop geschadigter Kontinua unter Beriicksichtigung der thermo-plastischen Kopplung, Dissertation Ruhr Universitat Bochum, Institut fur Mechanik, No. 89.
207. Shammas MS (1988), Metallographic methods for predicting the remament life of ferritic coarse-grained weld heat affected zones subject to creep cavitation, Int Conf on Life Assessment, VGB, KEMA, EPRI, Essen, Amheim, Palo Alto.
208. Sidoroff F (1981), Description of anisotropic damage application to elasticity, IUTAM Colloquium on Physical Nonlinearities in Structural Analysis, Berlin: Springer-Verlag, 237-244.
209. Singh UK and Digby PJ (1989), A continuum damage model for simulation of the progressive failure of brittle rocks, Int J Solids Struct 25,647-663.
210. Scoczén B (1996), Generalization of the Coffin equations with respect to the effect of large mean plastic strain, J Eng Mat Tech, ASME, 387-393.
211. Skelton WJ, Salim A, and Patton RG (1977), The creep of thick-walled 2 'A % NiCrMo cylinders under internal pressure at 350 C: Development of a testing machine and preliminary results, Proc Inst Mech Eng 192, 73-98.
212. Skizypek J and Ganczaiski A (1998a), Application of the orthotropic damage growth rule to variable principal directions, Int J Damage Mech 7, 180-206.
213. Skrzypek J and Ganczarski A (1998b), Modeling of damage effect on heat transfer in time-dependent non-homogeneous solids, J Thermal Stresses 21,205-231.
214. Skizypek J and Ganczaiski A (1999), Modeling of Material Damage and Failure of Structures-Theory and Applications, Berlin, Heidelberg, New York: Springer-Verlag.
215. Sõderquist B (1968), Acta Polytech Scand Mech Eng (f) 53, 1-36.
216. Spencer AJM (1971), Theory of Invariants. In: Continuum Physics (ed Erin-gen AC), 239-353, Academic Press, New York and London.
217. Stigh U (1985), Material Damage and Constitutive Properties, Chalmers University of Technology, Gõteborg, Sweden.
218. lh Japan Congr testing materials (ed: Nishihara T), 53-60, Kyoto: Soc Mat Sci.
219. Talty RK and Dirks RA (1978), Determination of tensile and compressive creep behaviour of ceramic materials from bend tests, J Mat Sci 13, 580-586.
220. Teoh SH, Cherry BW, and Kausch HH (1992), Creep rapture modelling of polymers, Int J Damage Mech 1, 245-256.
221. Tetelman AS and McEvily AJ, Jr. (1970), Fracture of Structural Materials, John Wiley.
222. Trampczynski WA, Hayhurst DR, and Leckie FA (1981), Creep rupture of copper and aluminium under non-proportional loading, J Mech Phys Solids 29,353-374.
223. Truesdell C and Noll W (1965), The nonlinear field theories of mechanics, In: Handbuch der Physik, Vol III/3 (ed Fliigge S), Berlin, Heidelberg, New York: Springer Verlag.
224. Tvcrgaard V (1988a), Material failure by void coalescence in localized shear bands, DCAMM Report No 221, 1-26, Tech Univ of Denmark, Lyngby.
225. Tvergaard V (1988b), Numerical study of localization in a void sheet, DCAMM Report No 377, 1-19, Tech Univ of Denmark, Lyngby.
226. Tvergaard V (1989), Material failure by void growth to coalescence, in: Advances in Applied Mechanics (ed: Hutchinson JW and Wu ThY) 27, 83151.
227. Voyiadjis GZ and Kattan PI (1990), A coupled theory of damage mechanics and finite strain elasto-plasticity-II. Damage and finite strain plasticity, Int J Eng Sci 28, 505-524.
228. Voyiadjis GZ and Kattan PI (1992), A plasticity-damage theory for large deformation of solids, Part I: Theoretical formulation, Int J Eng Sci 30, 1089-1108.
229. Voyiadjis GZ and Park T (1996), Anisotropic damage for the characterization of the onset of macro-crack initiation in metals, Int J Damage Mech 5,68-92.
230. Voyiadjis GZ and Venson AR (1995), Experimental damage investigation of a SiC-Ti aluminium metal matrix composite, Int J Damage Mech 4, 338-361.
231. Wang C-C (1971), Representations for isotropic functions, Arch Rational Mech Anal 43, 392-395.
232. Wang J (1992), Low cycle fatigue and cycle dependant creep with continuum damage mechanics, Int J Damage Mech 1, 237-244.
233. Waniewski M (1984), The influence of direction and value of plastic prestrain on steady-state creep rate using the combined isotropic-kinematic hardening rule, Rozpr. Inz. 23,4.
234. Waniewski M (1985), A simple law of steady-state creep for material with anisotropy induced by plastic prestraining. Arch Appl Mech 55, 368-375.
235. Zang P and Lee H (1993), Creep damage and fracture at high temperature, Eng Fracture Mech 44, 283-288.
236. Zheng Q-S (1994), Theory of representation for tensor functions: A unified invariant approach to constitutive equations, Appl Mech Rev (AMR) 47, 545-587.
237. Zheng Q-S and Betten J (1995a), On the tensor function representations of 2nd-order and 4th-order tensors: Part I, Z Angew Math Mech 75, 269-281.
238. Zheng Q-S and Betten J (1995b), The formulation of constitutive equations for fibre-reinforced composites in plane problems: Part II, Arch Appl Mech 65, 161-177.
239. Zheng Q-S and Betten J (1996), On damage effective stress and equivalence hypothesis, Int J Damage Mech 5,219-240.
240. Zheng Q-S and Betten J (1997), The formulation of elastic and plastic response for cubic crystals, Appl Mech Eng 2, 171-186.
241. Zheng Q-S, Betten J and Spencer AJM (1992), The formulation of constitutive equations for fibre-reinforced composites in plane problems: Part I, Arch Appl Mech 62, 530-543.
242. Zyczkowski M (1988), Optimal Structural design under creep conditions, Appl Mech Rev 41,453-461.
243. Zyczkowski M (1996), Optimal Structural design under creep conditions, Appl Mech Rev 49,433-446.