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

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Table 9.2. Data on stress for Specimen Al2O3-10-8h. 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 12x5 36.9 42 3.5 6 795 254 647 952 539 639 777 243 648 890 Fr. 2 6x2 42.3 28 8 8 862 235 725 1000 495 712 846 227 726 952 Dec. 3 10x6 70.5 49 6.5 9 774 270 617 945 575 611 755 256 618 873 Fr. 4 3x15 53.8 42 8 8 834 267 679 1002 568 672 815 255 680 934 Fr. 5 5x27 64.5 4 13 13 844 214 719 959 444 700 831 207 721 926 Fr. 6 8x7 35 30 6 10 855 237 717 996 500 705 839 229 718 946 Fr. 7 4x13 50.4 40 3.5 5 772 241 632 917 508 622 756 230 633 862 Fr. 8 17x6 33.5 8 14 16 915 232 779 1049 488 765 900 225 781 1004 Fr. 9 7x6 42.3 29 8 8 863 237 725 1004 500 712 847 229 726 954 Fr. 10 6x6 49 33 6.5 10 833 239 694 976 504 683 818 229 696 923 Dec. 11 4x6 15.2 10 9 10 951 242 810 1095 511 798 935 234 812 1044 Fr. 12 7x5 34.3 44 5.5 11 836 274 677 1011 585 671 817 261 678 938 Fr. 13 10x8 38.9 46 6 8 827 278 666 1005 594 661 808 265 667 931 Dec. 14 3.5x2.5 35 18 4.5 5.5 813 210 691 925 435 671 801 204 693 895 Dec.
Table 9.3. Data on stress for Specimen Al2O3-10-24h. 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 3x2 74.7 64 ≈0 10 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 Dec. 2 3x10 82 60 3 10 825 318 640 1030 681 636 802 641 160 941 Fr. 3 6x16 19.2 51 3 3…5 950 336 755 1174 725 754 925 755 169 1074 Dec. 4 4x14 28.5 10 4 8…9 971 281 807 1107 570 774 956 811 143 1077 Dec. 5 1.5x1.5 21.1 2 9 17 1039 300 864 1218 632 851 1019 866 152 1152 Dec. 6 5x11 16.8 17 5.5 10 1027 298 854 1204 628 839 1007 855 151 1140 Fr. 7 5x12 21.1 5 4 13 988 285 822 1135 584 794 971 825 145 1096 Fr. 8 6x13 32 29 6 13 1002 298 829 1178 626 814 983 831 151 1114 Dec 9 10x8 50.4 65 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 Dec. 10 6x6 47.1 58 3 9...10 864 328 675 1080 704 672 840 675 165 985 Fr. 11 15x6 50.2 54 3 11 881 321 695 1090 688 691 858 695 162 999 Fr. 12 4x14 42 69 0..1 3...13 724 306 547 913 646 539 703 548 155 835 Fr. 13 6x12 42.7 50 2 8 886 310 706 1082 661 699 864 707 157 1001 Fr. 14 11x16 36.8 9 5 13 969 280 805 1102 566 771 954 809 143 1074 Fr. 15 3x5 25.6 30 5 16 1006 300 831 1186 633 818 986 833 152 1118 Dec. 16 4x15 28.3 41 3 5…7 964 309 784 1159 659 776 942 785 156 1079 Fr. 17 8x19 30.3 31 2.5 4.5 954 286 788 1103 586 761 937 791 146 1062 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%
Page 53 and 54: 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: Table 9.1. Data on stress for Speci
Page 107 and 108: 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
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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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