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

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4.2. The effect of the heat treatment on the fracture surface 40 4.3. The effect of the particle location with respect to the crack tip on the local fracture properties 42 4.3.1. The relation between the particle location with respect to the crack tip and the CODi-values 42 4.3.2. The relation between the particle location with respect to the crack tip and the CODvi-values 51 4.4. The maximum particle stresses at the moment of void initiation 56 4.5. The relation between the local conditions for void initiation and global mechanical properties 64 4.6. Application of Weibull distribution for fractured particles 66 5. The relation between the inclusion size and the local fracture properties 69 5.1. Material and mechanical properties 69 5.1.1. Materials characterization 69 5.1.2. Tensile tests 70 5.1.3. Fracture mechanics tests 70 5.2. The effect of the particle location and the inclusion size on the CODi- and CODvi-values 71 6. Comparison of the local and global fracture properties 75 7. Application of ECAP to improve the homogeneity of the particle distribution in MMCs 79 7.1. Material 79 7.2. A model by Tan and Zhang for the case of combination of extrusion and ECAP 80 7.3. A quadrat method to estimate the homogeneity of the particle distribution in MMCs 83 7.4. The effect of ECAP on the particle distribution, the global, and local fracture properties in MMCs with severe clustered particle distribution 85 7.4.1. The effect of ECAP on the microstructure 85 7.4.2. The effect of ECAP on the global fracture properties 88 7.4.3. The effect of ECAP on the fracture surface morphology 90 3
7.4.4. The effect of ECAP on the local fracture properties 92 7.5. About possible application of ECAP to improve the particle distribution in different MMCs 96 8. Summary 98 9. Appendix 101 References 155 4
Page 1 and 2: MONTANUNIVERSITÄT MONTANUNIVERSIT
Page 3: TABLE OF CONTENTS 1. Introduction 5
Page 7 and 8: Section 1 The main results of this
Page 9 and 10: Section 2 2.2. The influence of the
Page 11 and 12: Section 2 high strength, fine reinf
Page 13 and 14: Section 2 etched to mark the inclus
Page 15 and 16: Section 2 (4.) The specimen prepara
Page 17 and 18: Section 3 Fig. 3.1. The digital ele
Page 19 and 20: height [µm] height [µm] 10 0 -10
Page 21 and 22: Section 3 Fig. 3.5. The observation
Page 23 and 24: Section 3 3.3.2. The determination
Page 25 and 26: Section 3 The Eshelby tensor does n
Page 27 and 28: equivalent stress Section 3 Fig. 3.
Page 29 and 30: Assume σ m eq Calculate matrix sec
Page 31 and 32: Section 4 Table 4.1. Chemical compo
Page 33 and 34: 4.1.1.3. Fracture mechanics tests S
Page 35 and 36: Section 4 Fig. 4.4. A view of a com
Page 37 and 38: Section 4 Table 4.3. Mechanical pro
Page 39 and 40: εfr [%] εfr [%] N 16 12 8 4 0 150
Page 41 and 42: Section 4 4.2. The effect of the he
Page 43 and 44: Section 4 It should be noted that n
Page 45 and 46: CODi [µm] 40 30 20 10 0 Section 4
Page 47 and 48: Section 4 Table 4.4. Results of the
Page 49 and 50: CODi [µm] COD i [µm] CODi [µm] 2
Page 51 and 52: 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
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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
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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
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Section 7 its initial length, li. O
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1 µm Section 7 5 µm Fig. 7.3. A s
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Section 7 a) b) c) Fig. 7.4. Micros
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Section 7 It is important that no p
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Section 7 between the Rtot and the
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Section 7 Fig. 7.8. The fracture su
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10 z [mm] 5 -10 -15 Section 7 0 -20
Page 97 and 98:
Section 7 Table 7.3. Data on measur
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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
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Page 109 and 110:
Page 111 and 112:
Page 113 and 114:
Table 9.11. Data on stress for Spec
Page 115 and 116:
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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
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8 9 10 6 10 122 11 12 13 14 11 12 1
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9 10 11 12 13 124 50 µm Fig. 9.6.
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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
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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
Page 157 and 158:
[14] Lewandowski JJ, Liu C, Hunt WH
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[42] Rice JR, Rosengren GF. Plane s
Page 161 and 162:
[70] ASTM E1820-01, “Standard Tes
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