dissertation global and local fracture properties of metal matrix ...

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[55] McMeeking RM. Finite deformation analysis of crack tip opening in elastic-plastic materials and implication for fracture. Journal of the Mechanics and Physics of Solids. 1977, 25, pp. 357-381. [56] Jun S, Zeng-Jie D, Ming-Jing TU. Effect of stress triaxiality levels in crack tip regions on the characteristics of void growth and fracture criteria. Engineering Fracture Mechanics. 1991, 39, pp. 1051-1060. [57] Baaser H, Gross D. Analysis of void growth in a ductile material in front of a crack tip. Computational Materials Science. 2003, 26, pp. 26-35. [58] Shih CF. Relationships between the J-integral and the crack opening displacement for stationary and extending cracks. Journal of the Mechanics and Physics of Solids. 1981, 29, pp. 305-326. [59] Shih CF. Tables of HRR Singular Field Quantities, MRL E-147. Materials Research Laboratory, Brown University. Providence, RI, USA, 1983. [60] Eshelby JD. The Determination of the Elastic Field of an Ellipsoidal Inclusion and Related Problems. Proceedings of Royal Society. London. 1957, A241, pp. 376-396. [61] Tandon GP, Weng GJ. The effect of the aspect ratio of inclusions on the elastic properties of unidirectionally aligned composites. Polymer Composites. 1984, 5(4), pp. 327-333. [62] Hill R. Continuum micro-mechanics of elastoplastic polycrystals. Journal of the Mechanics and Physics of Solids. 1965, 13, pp. 89-101. [63] Benveniste Y. A new approach to the application of Mori-Tanaka's theory in composite materials. Mechanics of Materials. 1987, 6, pp. 147-157. [64] Mori T, Tanaka K. Average stress in a matrix and average elastic energy of materials with misfitting inclusions. Acta Metallurgica. 1973, 23, pp. 571-574. [65] Pettermann HE, Böhm HJ, Rammerstorfer FG. Some direction-dependent properties of matrix-inclusion type composites with given reinforcement orientation distributions. Composites Part B: Engineering. 1997, 28, pp. 253-265. [66] Ponte Castaneda P, Suquet P. In: E.van der Giessen, Wu Ty, editors. Advances in Applied Mechanics. 34, Academic Press, New York, NY, 1998. p. 171. [67] Hu G. A method of plasticity for general aligned spheroidal void of fiber-reinforced composites. International Journal of Plasticity. 1996, 12(4), pp. 439-449. [68] Qiu YP, Weng GJ. A theory of plasticity for porous materials and particle reinforced composites. Journal of Applied Mechanics. 1992, 59, pp. 261-268. [69] Brantner HP. Bruchzähigkeit teilchenverstärkter Aluminiumlegirungen. Diploma Thesis. University of Leoben, 2004. 159
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MONTANUNIVERSITÄT MONTANUNIVERSIT
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TABLE OF CONTENTS 1. Introduction 5
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7.4.4. The effect of ECAP on the lo
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Section 1 The main results of this
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Section 2 2.2. The influence of the
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Section 2 high strength, fine reinf
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Section 2 etched to mark the inclus
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Section 2 (4.) The specimen prepara
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Section 3 Fig. 3.1. The digital ele
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height [µm] height [µm] 10 0 -10
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Section 3 Fig. 3.5. The observation
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Section 3 3.3.2. The determination
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Section 3 The Eshelby tensor does n
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equivalent stress Section 3 Fig. 3.
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Assume σ m eq Calculate matrix sec
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Section 4 Table 4.1. Chemical compo
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4.1.1.3. Fracture mechanics tests S
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Section 4 Fig. 4.4. A view of a com
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Section 4 Table 4.3. Mechanical pro
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εfr [%] εfr [%] N 16 12 8 4 0 150
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Section 4 4.2. The effect of the he
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Section 4 It should be noted that n
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CODi [µm] 40 30 20 10 0 Section 4
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Section 4 Table 4.4. Results of the
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CODi [µm] COD i [µm] CODi [µm] 2
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Cast MMCs 10%-RT 10%-8h 10%-24h 10%
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COD vi [µm] COD vi [µm] CODvi [µ
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CODvi [µm] CODvi [µm] 80 60 40 20
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Section 4 Table 4.6. The values of
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σ p max [MPa] σ p max [MPa] σ p
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σ p max [MPa] σ p max [MPa] 1200
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σ interf max [MPa] σ interf max [
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Section 4 4.5. The relation between
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Section 4 Table 4.9. Conditions for
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Ln(Ln(1/(1-F σ))) Ln(Ln(1/(1-F σ)
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Section 5 diameter of 2…8 µm and
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MnS-inclusion r θ MnS-inclusion Se
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σ interf [MPa] σ interf [MPa] σ
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Section 6 where n is the number of
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Ji [kN/m] J i [kN/m] 25 20 15 10 5
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Section 7 7.2. A model by Tan and Z
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Section 7 its initial length, li. O
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1 µm Section 7 5 µm Fig. 7.3. A s
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Section 7 a) b) c) Fig. 7.4. Micros
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Section 7 It is important that no p
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Section 7 between the Rtot and the
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Section 7 Fig. 7.8. The fracture su
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10 z [mm] 5 -10 -15 Section 7 0 -20
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Section 7 Table 7.3. Data on measur
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8. Summary Section 8 This work deal
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Section 8 The effect of the homogen
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Table 9.1. Data on stress for Speci
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Page 109 and 110: Table 9.7. Data on stress for Speci
Page 111 and 112: Table 9.9. Data on stress for Speci
Page 113 and 114: Table 9.11. Data on stress for Spec
Page 119 and 120: Table 9.17. Results of the stereoph
Page 121 and 122: 1 2 1 2 3 3 4 5 6 5 9 119 7 7 8 9 6
Page 123 and 124: 8 9 10 6 10 122 11 12 13 14 11 12 1
Page 125 and 126: 9 10 11 12 13 124 50 µm Fig. 9.6.
Page 127 and 128: 1 2 1 2 3 3 4 4 126 5 5 6 9 7 50 µ
Page 129 and 130: 1 1 2 2 3 4 3 4 5 5 128 6 7 6 7 50
Page 131 and 132: Fig. 9.12. Fracture surface with ma
Page 133 and 134: 1 2 3 1 2 3 4 5 6 7 8 9 10 4 5 132
Page 155 and 156: Fig. 12.36. Fracture surface of the
Page 157 and 158: [14] Lewandowski JJ, Liu C, Hunt WH
Page 159: [42] Rice JR, Rosengren GF. Plane s
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