| Foreword |
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viii | |
| Introduction |
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x | |
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1 Fundamentals of mechanics of strength and plasticity of metals |
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1 | (56) |
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1.1 Basic concepts, postulates and method in the classical mathematical theory of plasticity (flow theory) |
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1 | (11) |
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1.2 The defining relations of the theory of plasticity (particular laws of metal deformation) |
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12 | (15) |
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1.2.1 The tensor defining relations |
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12 | (12) |
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1.2.2 Scalar defining relations |
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24 | (3) |
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1.3 Fundamentals of the classical mathematical theory of creep of metals |
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27 | (14) |
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1.4 Modern approaches to the development of the mathematical theory of irreversible strains and the formulation of a scientific problem |
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41 | (16) |
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41 | (16) |
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2 Fundamentals of the phenomenological theory of fracture and fracture criteria of metals at high plastic strains |
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57 | (22) |
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2.1 Basic concepts, assumptions and equations of the phenomenological theory of the fracture of metals |
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57 | (9) |
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2.2 Criteria of ductile fracture of metals |
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66 | (3) |
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2.3 Modern approaches to the development of the theory of ductile fracture and the formulation of a scientific problem |
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69 | (10) |
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3 Fundamentals of the physics of strength and plasticity of metals |
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79 | (59) |
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3.1 Basic concepts and assumptions of the dislocation theory of plasticity |
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79 | (19) |
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3.2 Theoretical description of plastic deformation |
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98 | (30) |
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3.2.1 Multilevel character of plastic deformation |
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98 | (10) |
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3.2.2 Structure and properties of metals with developed and intense plastic strains |
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108 | (8) |
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3.2.3 Methods of theoretical description of plastic deformation |
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116 | (5) |
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3.2.4 Physical (microstructural) models of creep of metals |
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121 | (7) |
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3.3 Basic concepts and provisions of the physics of fracture of metals |
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128 | (10) |
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4 A physico-phenomenological model of the single process of plastic deformation and ductile fracture of metals |
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138 | (22) |
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4.1 General provisions of the model |
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138 | (7) |
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4.2 The scalar defining equation of viscoplasticity |
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145 | (3) |
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4.3 Scalar model of the plasticity of a hardening body (cold deformation of metals) |
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148 | (1) |
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4.4 Model of ductile fracture of metals |
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149 | (5) |
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4.5 Obtaining a generalized law of viscoplasticity based on a scalar law |
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154 | (6) |
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5 A physico-phenomenological model of plasticity at high cyclic deformation and similar cold deformation |
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160 | (9) |
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5.1 The experimental basis of the model |
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160 | (5) |
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5.2 The defining equations of large cyclic deformation and deformation close to it |
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165 | (4) |
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6 Physico-phenomenological models of irreversible strains in metals |
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169 | (17) |
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6.1 Model of evolution of a microstructure under irreversible deformation of metals |
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169 | (1) |
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6.2 Kinetic physical-phenomenological model of dislocation creep, controlled by thermally activated slip of dislocations |
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170 | (6) |
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6.3 Kinetic physico-phenomenological model of long-term strength of metals |
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176 | (7) |
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6.3.1 General information about long-term strength |
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176 | (4) |
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6.3.2 Model of long-term strength. The general case of loading |
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180 | (2) |
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6.3.3 Modelling of the process of testing samples for long-term strength under conditions of stationary thermomechanical loading |
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182 | (1) |
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6.4 Stress relaxation model |
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183 | (3) |
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7 Experimental verification of adequacy of models |
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186 | (29) |
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7.1 Scalar viscoplasticity model |
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186 | (10) |
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7.1.1 Methodology for checking the adequacy of the model |
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186 | (2) |
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7.1.2 Results of model verification |
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188 | (8) |
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7.2 Model of ductile fracture of metals |
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196 | (2) |
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198 | (5) |
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7.4 Stress relaxation model |
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203 | (1) |
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7.5 Model of long-term strength |
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203 | (2) |
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7.6 Model of evolution of the structure in processes of irreversible deformation of metals |
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205 | (3) |
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7.7 The model of a large cyclic and near-plastic deformation |
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208 | (7) |
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8 Mathematical formulation and examples of solving applied problems of the physico-mathematical theory of plasticity |
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215 | (14) |
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8.1 Mathematical formulation of problems |
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215 | (3) |
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8.2 Examples of development, research and improvement of processes of processing of metals by pressure on the basis of mathematical modelling |
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218 | (11) |
| Conclusion |
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229 | (1) |
| References |
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230 | (8) |
| Index |
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238 | |
Rohkem infot Taylor & Francis e-raamatute kohta