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

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Table 9.10. Data on stress for Specimen Al2O3-20-8h. Mechanism σ interf max [MPa] HRR-theory Mean-Field theory Composite Particle Matrix CODi [µm] CODvi [µm] θ [°] r [µm] Particle Size [µm] σ mean vi [MPa] σ eq vi σ max vi σ mean vi σ eq vi σ max vi σ mean vi σ eq vi [MPa] [MPa] [MPa] [MPa] [MPa] [MPa] [MPa] σ max vi [MPa] 1 14x25 54.2 57 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 Fr. 2 4x21 46.2 68 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 Fr. 3 18x13 44 33 4 6 1046 319 861 1210 606 857 1006 287 862 1148 Fr. 4 6x22 52.1 36 3 10 1025 318 840 1188 606 836 984 287 841 1127 Fr. 5 22x9 53 50 2 9 961 335 766 1134 639 764 918 300 767 1066 Fr. 6 6x8 36.6 58 1 5 902 341 704 1079 651 701 857 305 704 1009 Fr. 7 5x17 35.5 49 3 5 1009 350 806 1191 669 803 963 314 806 1120 Fr. 8 6x20 25.8 14 5 7 1080 316 896 1242 602 892 1040 286 897 1182 Fr. 9 6x16 23.2 50 1.5 7 990 345 790 1170 658 787 945 309 790 1099 Fr. 10 7x23 47.1 48 4 12 1015 350 812 1198 669 809 969 314 812 1126 Fr. 11 11x18 41 43 4 9 1041 340 843 1217 649 841 997 306 844 1149 Fr. 12 5x14 30.3 50 2 8 991 345 791 1171 659 788 946 309 791 1100 Fr.
Table 9.11. Data on stress for Specimen Al2O3-20-24h. Mechanism σ interf max [MPa] HRR-theory Mean-Field theory Composite Particle Matrix CODi [µm] CODvi [µm] θ [°] r [µm] Particle Size [µm] σ mean vi [MPa] σ eq vi σ max vi σ mean vi σ eq vi σ max vi σ mean vi σ eq vi [MPa] [MPa] [MPa] [MPa] [MPa] [MPa] [MPa] σ max vi [MPa] 1 3x6 13.5 -3 ≈0 5 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 Dec. 2 7x8 20 -6 ≈0 2.5 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 Fr. 3 3x6 7.6 -18 0..1 1 1089 327 898 1251 620 890 1048 296 900 1194 Dec. 4 2x2 17.3 +56 3.5 3.5 1043 386 820 1249 740 820 992 344 819 1164 Dec. 5 6x10 37.3 +64 1 2…5 898 358 691 1086 684 690 851 319 691 1010 Fr. 6 25x7 15.7 +11 ≈0 3 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 Fr. 7 1.5x1.5 7.4 +28 1.5 2 1119 340 921 1294 649 918 1075 307 922 1228 Dec. 8 4x5 31.9 -18 ≈0 5 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 Dec. 9 7x12 33.2 -45 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 Fr. 10 6x10 16.5 -20 2.5 6 1098 330 905 1263 627 899 1056 298 907 1203 Fr.
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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
Page 61 and 62: σ p max [MPa] σ p max [MPa] 1200
Page 63 and 64: σ interf max [MPa] σ interf max [
Page 65 and 66: Section 4 4.5. The relation between
Page 67 and 68: Section 4 Table 4.9. Conditions for
Page 69 and 70: Ln(Ln(1/(1-F σ))) Ln(Ln(1/(1-F σ)
Page 71 and 72: Section 5 diameter of 2…8 µm and
Page 73 and 74: MnS-inclusion r θ MnS-inclusion Se
Page 75 and 76: σ interf [MPa] σ interf [MPa] σ
Page 77 and 78: Section 6 where n is the number of
Page 79 and 80: Ji [kN/m] J i [kN/m] 25 20 15 10 5
Page 81 and 82: Section 7 7.2. A model by Tan and Z
Page 83 and 84: Section 7 its initial length, li. O
Page 85 and 86: 1 µm Section 7 5 µm Fig. 7.3. A s
Page 87 and 88: Section 7 a) b) c) Fig. 7.4. Micros
Page 89 and 90: Section 7 It is important that no p
Page 91 and 92: Section 7 between the Rtot and the
Page 93 and 94: Section 7 Fig. 7.8. The fracture su
Page 95 and 96: 10 z [mm] 5 -10 -15 Section 7 0 -20
Page 97 and 98: Section 7 Table 7.3. Data on measur
Page 99 and 100: 8. Summary Section 8 This work deal
Page 101 and 102: Section 8 The effect of the homogen
Page 103 and 104: Table 9.1. Data on stress for Speci
Page 111: Table 9.9. Data on stress for Speci
Page 115 and 116: Table 9.13. Data on stress for Spec
Page 117 and 118: Table 9.15. 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 and 160: [42] Rice JR, Rosengren GF. Plane s
Page 161 and 162: [70] ASTM E1820-01, “Standard Tes
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