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

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Table 9.4. Data on stress for Specimen Al2O3-10-200h. 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 5x11 31,1 68 1,5 2 868 356 662 1107 769 662 841 336 662 998 Fr. 2 4x4 40,4 60 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 Dec. 3 24x5 35,0 57 4 4 963 358 756 1204 775 756 936 339 756 1095 Fr. 4 5x4 36,9 56 4 4 968 356 761 1208 771 761 941 338 761 1099 Dec. 5 11x4 28,6 32 5 6 1058 333 865 1264 707 854 1035 318 866 1183 Dec. 6 11x4 19,0 46 3,5 3,5 1039 352 836 1275 760 835 1013 334 836 1170 Dec. 7 6x6 27,5 4 5 10 1050 325 861 1230 675 837 1030 311 863 1172 Dec. 8 6x4 32,3 46 6 6 1040 352 836 1276 760 835 1013 334 836 1170 Dec. 9 6x4 50,0 52 10 10 1011 360 803 1255 779 803 984 341 803 1144 Dec 10 2x5 15 30 13 13 1071 336 876 1284 717 868 1047 321 877 1197 Fr. 11 8x15 12 25 12 12 1115 348 914 1348 752 912 1090 332 914 1246 Dec. 12 4x7 27,4 26 7,5 7,5 1070 334 876 1279 711 867 1047 319 877 1195 Dec. 13 7x17 12,5 4 10 10 1101 341 903 1324 733 899 1077 326 904 1229 Dec. 14 12x4 48,7 54 6 6 984 356 778 1224 771 778 957 338 778 1116 Dec. 15 2x2 15,1 32 12 12 1111 350 908 1345 756 907 1085 334 908 1242 Dec.
Table 9.5. Data on stress for Specimen Al2O3-15-RT. 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 6x13 13.7 -24 4 4 899 232 764 1029 466 758 876 218 765 982 Fr. 2 5x13 50.5 +58 6 6 753 293 583 924 592 581 722 269 583 852 Fr. 3 7x8 31.2 +68 7 7 770 335 576 969 680 575 735 306 576 882 Fr. 4 4x16 37.6 +50 5 13 792 280 630 955 566 627 763 258 630 888 Fr. 5 7x6 23.8 +68 5 5…6 764 333 571 961 674 570 729 304 571 875 Fr. 6 2x8 20.5 +13 6.5 8 892 219 764 1012 439 757 871 207 765 971 Fr. 7 13x5 13 +22 6 14 949 242 808 1086 486 803 925 227 809 1035 Fr. 8 7x4 26.2 +61 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 Fr. 9 21x8 30.8 +39 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 Fr. 10 27x5 50.8 +51 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 Fr. 11 16x8 23.3 +2 9 12 908 220 780 1029 441 772 886 208 781 988 Fr. 12 10x3 33.1 -27 4 4 808 213 683 924 427 676 787 200 685 883 Fr. 13 18x6 49.8 -24 7 7 819 211 696 934 422 688 799 198 697 894 Fr. 14 14x6 30.6 -32 2.5 9 773 216 647 892 433 640 752 202 649 849 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
Page 55 and 56: 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 105: Table 9.3. 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
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[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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