| Preface |
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viii | |
| Introduction |
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xi | |
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1 Plastic flow. Important regularities |
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1 | (27) |
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1.1 Multi-scale plastic flow heterogeneity |
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2 | (13) |
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1.1.1 Dislocation level of deformation |
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2 | (5) |
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1.1.2 Mesoscale strain level |
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7 | (2) |
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1.1.3 Macrostrain scale level |
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9 | (4) |
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1.1.4 Lattice scale level |
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13 | (1) |
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1.1.5 Temporal nonuniformity of plastic flow |
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14 | (1) |
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1.2 Models of different-scale processes of plastic flow |
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15 | (4) |
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16 | (1) |
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1.2.2 Large-scale distribution of strain |
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17 | (2) |
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1.3 Plastic deformation as self-organization |
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19 | (5) |
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1.3.1 On the possibilities of synergetics in the theory of plasticity |
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20 | (2) |
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1.3.2 On collective phenomena in plasticity |
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22 | (2) |
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24 | (4) |
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1.4.1 Localization and the self-organization of plastic flow |
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24 | (2) |
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1.4.2 On the principles of constructing a model of plastic flow |
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26 | (2) |
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2 Macroscopic localization of plastic flows |
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28 | (29) |
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2.1 Methods of observing patterns of localized plasticity |
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28 | (6) |
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2.1.1 ALMEC complex. Principle of operation |
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29 | (4) |
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2.1.2 ALMEC-tv complex. Principle of operation |
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33 | (1) |
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2.2 Patterns of localized plasticity |
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34 | (5) |
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2.2.1 Patterns of localized plasticity and general deformation |
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35 | (1) |
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2.2.2 Patterns of localized plasticity. Qualitative analysis |
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36 | (1) |
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2.2.3 Patterns of localized plasticity. Quantitative analysis |
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37 | (1) |
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2.2.4 Kinetics of development of patterns |
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38 | (1) |
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2.3 On the choice of materials for research |
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39 | (1) |
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2.4 Stage of plastic deformation and localization patterns |
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39 | (15) |
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2.4.1 Selection of stages of the plastic flow curve |
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40 | (2) |
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2.4.2 The yield plateau stage |
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42 | (3) |
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2.4.3 Stages of easy slip and linear hardening |
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45 | (3) |
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2.4.4 Stage of parabolic hardening |
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48 | (1) |
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49 | (5) |
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2.5 The evolution of localization patterns during interstage transitions |
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54 | (3) |
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2.5.1 Transition patterns |
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54 | (2) |
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56 | (1) |
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3 Plastic flow as an autowave process |
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57 | (47) |
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3.1 Localization as self-organization of plastic flow |
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58 | (6) |
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3.1.1 Actual properties of plastically deformable media |
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58 | (3) |
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3.1.2 Hypothesis about the autowave character of localized deformation |
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61 | (2) |
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3.1.3 Entropy of wave and autowave deformation processes |
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63 | (1) |
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3.2 Autowave plastic flow equations |
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64 | (11) |
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3.2.1 On the structure of autowave equations |
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65 | (2) |
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3.2.2 Equations of autowaves of localized plastic flow |
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67 | (3) |
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3.2.3 Analysis of autowave equations |
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70 | (5) |
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3.3 Generation of autowave plastic deformation modes |
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75 | (8) |
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3.3.1 Autowave generation by stress concentrators |
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75 | (4) |
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3.3.2 Autowave modes of localization of plastic flow |
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79 | (2) |
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3.3.3 Deformation as an evolution of autowave structure |
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81 | (2) |
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3.4 The main characteristics of localized deformation autowaves |
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83 | (21) |
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3.4.1 The speed of propagation of autowaves |
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83 | (4) |
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3.4.2 Dispersion of autowaves |
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87 | (4) |
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3.4.3 Scale effect with strain localization |
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91 | (4) |
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3.4.4 Autowave parameters and material structure |
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95 | (9) |
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4 Two-component plastic flow model |
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104 | (33) |
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4.1 On the principles of plastic flow model construction |
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104 | (1) |
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4.2 Construction of a two-component plasticity model |
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105 | (9) |
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4.2.1 Two-component model: structure and operation |
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106 | (2) |
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4.2.2 Numerical estimates of the capabilities of the model |
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108 | (6) |
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4.3 The basic equation of the model - the elastoplastic invariant |
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114 | (8) |
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4.3.1 Introduction of an elastoplastic strain invariant |
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114 | (4) |
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4.3.2 Elastoplastic invariant and characteristics of the medium |
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118 | (1) |
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4.3.3 On the nature of the elastoplastic deformation invariant |
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119 | (3) |
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4.4 Implications of the two-component model |
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122 | (12) |
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4.4.1 Phase autowave propagation speed |
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122 | (1) |
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4.4.2 Dispersion of phase localized deformation autowaves |
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123 | (1) |
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4.4.3 Constants in the dispersion relation for autowaves |
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123 | (1) |
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4.4.4 Connection of the autowave length with the grain size in a polycrystal |
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124 | (1) |
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4.4.5 Scale effect for autowave localized plasticity |
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125 | (1) |
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4.4.6 Autowave equation of localized plasticity |
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125 | (1) |
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4.4.7 Autowaves and the Taylor-Orowan dislocation kinetics equation |
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126 | (2) |
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4.4.8 The reason for generating autowaves |
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128 | (1) |
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4.4.9 Evaluation of linear strain hardening coefficient |
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129 | (1) |
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4.4.10 Elastoplastic invariant and Hall-Petch relation |
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129 | (2) |
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4.4.11 Connection of elastic and plastic components of deformation |
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131 | (1) |
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4.4.12 On the relationship of dislocation and mesoscopic scales |
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131 | (2) |
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4.4.13 Density of mobile dislocations |
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133 | (1) |
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4.5 Generalization of the two-component plasticity model |
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134 | (3) |
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5 A quasiparticle approach in plasticity physics |
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137 | (25) |
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5.1 On the use of quantum-mechanical ideas in the physics of plasticity |
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137 | (2) |
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5.2 Mass associated with autowave localized deformation |
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139 | (4) |
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5.3 Introduction of quasiparticles - autolocalizon |
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143 | (2) |
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5.4 Quasiparticle representation of localized deformation |
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145 | (3) |
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5.4.1 Jump-like plastic deformation |
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145 | (2) |
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5.4.2 Autowave length - autolocalizon displacement length |
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147 | (1) |
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5.4.3 Elastoplastic deformation invariant and autolocalizon |
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148 | (1) |
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5.5 Spectrum of elementary excitations of a deformable medium |
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148 | (8) |
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5.5.1 Hybridization of the spectra of an elastically and plastically deformable medium |
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149 | (2) |
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5.5.2 Dispersion and effective mass of autolocalizon |
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151 | (1) |
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5.5.3 Condensation of quasiparticles in the process of plastic flow |
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151 | (2) |
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5.5.4 The general meaning of the introduction of autolocalizon |
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153 | (1) |
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5.5.5 Plasticity as a macroscopic quantum phenomenon |
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154 | (2) |
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5.6 Deformation localization and periodic table of elements |
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156 | (6) |
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5.6.1 General characteristics of the problem |
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156 | (1) |
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157 | (2) |
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5.6.3 Interpretation of the data |
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159 | (3) |
| Conclusion |
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162 | (2) |
| Bibliography |
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164 | (20) |
| Index |
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184 | |
