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

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Table 9.8. Data on stress for Specimen Al2O3-15-200h. 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 6x12 24 2 3 5 1072 332 878 1225 643 849 1045 309 883 1187 Fr. 2 15x5 10 16 4.5 5 1113 346 912 1307 694 904 1079 321 914 1233 Dec. 3 4x5 10.5 12 4 9 1107 344 907 1296 686 897 1074 318 909 1225 Dec. 4 1x1 18.0 20 6.5 6.5 1108 345 908 1300 690 898 1074 320 909 1228 Dec. 5 6x6 21.0 51 1 2 1007 355 801 1215 718 798 971 327 802 1128 Dec. 6 13x9 23.0 56 1 4 976 360 768 1188 728 766 939 330 768 1098 Dec. 7 6x17 32.0 52 3.5 3.5 1025 365 814 1243 741 814 987 336 814 1150 Dec. 8 8x13 38.2 54 2 2 993 360 785 1205 728 783 956 331 785 1116 Dec. 9 5x10 17.2 12 4 7 1092 339 895 1269 670 878 1061 314 898 1209 Dec. 10 6x10 28.4 52 5 5 1039 370 825 1261 752 825 1000 340 825 1165 Dec. 11 7x14 34.6 40 3 3 1069 347 868 1264 695 860 1035 321 869 1189 Fr. 12 6x22 32.2 44 3 4 1061 353 855 1266 714 852 1024 326 856 1181 Dec. 13 3x7 19.3 1 3 4.5 1079 334 884 1240 653 859 1050 311 888 1195 Dec. 14 11x10 8 32 4 5 1124 354 919 1331 716 915 1087 328 919 1247 Dec. 15 12x14 13 33 8 12 1130 357 923 1340 722 921 1093 330 924 1253 Dec.
Table 9.9. Data on stress for Specimen Al2O3-20-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 22x8 16.9 19 5 12 871 218 744 976 411 736 845 200 745 944 Fr. 2 11x10 52 65 2 3 620 261 468 753 496 466 587 232 469 700 Fr. 3 23x8 52.3 45 ≈0 4.5 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 Fr. 4 8x7 29 13 1.5 3 699 172 598 772 319 584 681 158 601 756 Fr. 5 11x9 30.2 24 ≈0 12.5 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 Fr. 6 4x13 30.3 8 3 13 753 183 645 834 343 633 732 169 648 814 Dec. 7 7x21 21.1 21 ≈0 3 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 Fr. 8 12x18 26.8 10 2.5 5 748 183 641 830 341 629 728 168 644 809 Fr. 9 9x2.5 14.5 11 ≈0 2 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 ≈0 Fr. 10 11x11 11.6 15 0.5 3 685 169 586 757 314 572 668 156 589 742 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
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 109: Table 9.7. 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 and 160: [42] Rice JR, Rosengren GF. Plane s
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[70] ASTM E1820-01, “Standard Tes
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