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

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Table 9.6. Data on stress for Specimen Al2O3-15-8h. 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 4x10 31.7 16 4 8 1006 292 837 1173 588 831 977 272 838 1109 Dec. 2 1x1 25.2 36 3.5 4 1027 316 843 1210 639 840 995 293 844 1136 Dec. 3 16x15 33.4 14 3 5 984 285 818 1145 573 812 956 265 819 1083 Fr. 4 4x8 23.7 17 4.5 10.5 1033 301 858 1205 606 853 1002 280 859 1138 Fr 5 6x19 21 16 5 5…6 1047 304 871 1222 613 866 1016 283 872 1154 Fr 6 3x18 35.5 14 5 12 1012 293 842 1179 590 836 983 273 843 1115 Fr 7 2x3 20.6 29 4 8 1045 310 865 1224 626 861 1013 288 866 1153 Dec. 8 4x16 34.7 42 7 15 1041 337 846 1239 683 843 1006 312 846 1158 Fr 9 6x13 33.9 41 5 12 1024 329 833 1216 664 830 990 304 833 1137 Dec. 10 13x5 39.3 53 4 10 952 344 753 1155 696 751 917 316 754 1069 Fr 11 3x16 40.6 37 5 18 1018 316 835 1202 638 831 986 293 836 1128 Fr 12 12x5 34.7 58 1.5 6 877 332 685 1072 672 682 843 305 685 990 Fr 13 4x2 15.2 53 2.5 7 981 354 776 1190 717 775 945 326 776 1102 Dec. 14 10x5 25.4 6 6 9 1042 301 868 1215 606 863 1012 280 868 1148 Fr 15 5x10 44.5 56 1 8 852 317 669 1036 639 665 820 291 669 960 Fr 16 5x23 51.5 62 2.5 4 862 340 665 1062 687 663 827 311 666 976 Fr
Table 9.7. Data on stress for Specimen Al2O3-15-24h. 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 6x6 18.9 9 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 Fr. 2 1x1 12.8 39 2 3 1145 369 931 1367 751 932 1106 341 931 1272 Dec. 3 2x1 8.8 26 4 4 1186 370 971 1409 754 972 1146 343 971 1314 Dec. 4 10x8 36.2 38 1 4 1079 346 878 1284 702 877 1043 320 879 1198 Fr. 5 15x9 31.1 32 3 9 1127 355 921 1339 721 921 1089 329 921 1250 Fr. 6 11x11 25.3 38 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 Fr. 7 10x5 10 25 2 3 1151 359 943 1367 730 943 1113 333 943 1276 Fr. 8 13x10 21.4 28 1.5 7…9 1112 348 910 1319 706 909 1076 323 910 1233 Fr. 9 5x8 17.6 43 ≈0 2…4 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 Fr. 10 6x24 34 12 ≈0 8 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 Fr. 11 4x2 16.6 16 1.5 5 1117 347 916 1322 704 914 1080 321 916 1237 Dec. 12 12x6 14.7 38 ≈0 0…1 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 Fr. 13 14x7 17.9 42 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 Fr. 14 4x7 19.1 45 2.5 3 1119 376 901 1346 765 902 1079 347 901 1248 Fr. 15 7x8 14.2 10 3.5 4.5 1155 358 947 1369 728 947 1117 332 947 1279 Dec. 16 6x20 64.6 67 ≈0 0…5 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 Fr. 17 8x9 66 72 ≈0 0…5 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 Fr. 18 6x27 79.7 68 ≈0 0…5 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 Fr. 19 5x15 37.9 74 ≈0 0…6 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 Fr. 20 3x7 34.2 74 ≈0 0…5 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 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
Page 57 and 58: Section 4 Table 4.6. The values of
Page 59 and 60: 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 107: Table 9.5. 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
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[42] Rice JR, Rosengren GF. Plane s
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[70] ASTM E1820-01, “Standard Tes
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