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Tables of Contents for The Plastic Anisotropy in Single Crystals and Polycrystalline Metals
Chapter/Section Title
Page #
Page Count
Acknowledgements
ix
 
Preface
1
4
Introduction
5
6
References
7
4
Work hardening of the material at the uniaxial tensile test
11
8
Introduction
11
1
The stress - strain relationship for homogeneous deformation, defined by power function
12
2
The characteristics of macroinhomogeneous deformation
14
3
References
17
2
Strain ratio as the measure of plastic anisotropy
19
18
Introduction
19
3
The measurement of plastic anisotropy coefficient
22
4
Assessment of anisotropy on the basis of the variation of partial strains
26
3
Plastic anisotropy at inhomogeneous deformation
29
4
Discussion of results
33
1
Final remarks and conclusions
34
1
References
34
3
The quantitative evaluation of plastic anisotropy
37
20
Introduction
37
1
Plastic anisotropy in polycrystalline f.c.c. metals
38
9
Plastic anisotropy in f.c.c. single crystals
47
8
Final remarks
55
1
References
56
1
The variation of strain ratio at the tensile test described by a hyperbolic function
57
8
The two ranges r(&epsis;) function
57
4
Experimental verification
61
2
References
63
2
Determination of parameters of the r(&epsis;) function from experimental data
65
22
Characteristics of experimental scatter along the r(&epsis;) function
65
1
Determination of the fitting function based on maximal errors
66
8
Calculation of the fitting function r(&epsis;)
74
10
Discussion
84
1
References
84
3
The variation of strain ratio in single crystals subdued to tensile test
87
20
Introduction
87
1
Single crystals with stable crystallographic orientation
88
5
Single crystals with unstable crystallographic orientation
93
7
Calculation of the r(&epsis;) function in single crystals
100
4
General conclusions: single crystals and polycrystalline metals
104
1
References
105
2
Asymmetry of experimental scatter around the function r(&epsis;)
107
10
Introduction
107
1
Asymmetry of experimental scatter in copper [100] single crystals
108
2
Quantitative approach to the asymmetry of experimental scatter
110
4
Discussion
114
1
References
115
2
Instability of crystallographic orientation in real single crystals
117
30
Introduction
117
5
Effect of the variation of the α parameter on the r(&epsis;) relationship in single crystals
122
4
Effect of the change of ρ parameter on the r(&epsis;) relationship
126
2
Evaluation of the α and ρ parameters
128
4
The role of imperfection of f.c.c. single crystals in the analysis of instability of crystallographic orientation at uniaxial deformation
132
3
A quantitative evaluation of instability of the strain ratio. The method
135
1
Plastic anisotropy in brass single crystals
136
8
Instability of the strain ratio and crystallographic orientation in strained real f.c.c. single crystals
144
1
References
144
3
The multifarious application of the r(&epsis;) function in research and technology
147
8
References
153
2
Frequently used symbols and abbreviations
155