| Description |
1 online resource (xxi, 218 pages) : illustrations |
| Contents |
Cover; Half-Title Page; Title Page; Copyright Page; Contents; Acknowledgements; Introduction; 1. Continuous Dislocation Modeling; 1.1. Introduction; 1.2. Lattice incompatibility; 1.3. Burgers vector; 1.4. Compatibility conditions; 1.5. Dislocation fields; 1.6. Tangential continuity at interfaces; 1.7. Curvatures and rotational incompatibiliy; 1.8. Incompatibility tensor; 1.9. Conclusion; 1.10. Problems; 1.10.1. Discrete versus continuous modeling of crystal defects; 1.10.2. Incompatibility in simple shear; 1.10.3. Frank's relation; 1.11. Solutions |
|
1.11.1. Discrete versus continuous modeling of crystal defects1.11.2. Incompatibility in simple shear; 1.11.3. Frank's relation; 2. Elasto-static Field Equations; 2.1. Introduction; 2.2. Elasto-static solution to field equations; 2.2.1. Stokes-Helmholtz decomposition and Poisson-type equations; 2.2.2. Navier-type equations for compatible elastic distortion fields; 2.3. Straight screw dislocation in a linear isotropic elastic medium; 2.4. Straight edge dislocation in a linear isotropic elastic medium; 2.5. Conclusion; 2.6. Problems; 2.6.1. Screw dislocation; 2.6.2. Twist boundary |
|
2.6.3. Tilt boundary2.6.4. Zero-stress everywhere dislocation fields; 2.7. Solutions; 2.7.1. Screw dislocation; 2.7.2. Twist boundary; 2.7.3. Tilt boundary; 2.7.4. Zero-stress everywhere dislocation fields; 3. Dislocation Transport; 3.1. Introduction; 3.2. Dislocation flux and plastic distortion rate; 3.3. Coarse graining; 3.4. Compatibility versus incompatibility of plasticity; 3.5. Tangential continuity of plastic distortion rate; 3.6. Transport equations; 3.6.1. Small transformations; 3.6.2. Finite transformations; 3.7. Transport waves; 3.7.1. Annihilation |
|
3.7.2. Expansion of dislocation loops3.7.3. Initiation of a Frank-Read source; 3.8. Numerical algorithms for dislocation transport; 3.9. Conclusion; 3.10. Problems; 3.10.1. Propagation of a discontinuous dislocation density; 3.10.2. Dislocation loop expansion; 3.10.3. Stability / instability of homogeneous dislocation distributions; 3.10.4. Dislocation nucleation; 3.11. Solutions; 3.11.1. Propagation of a discontinuous dislocation density; 3.11.2. Expansion of dislocation loops; 3.11.3. Stability / instability of homogeneous dislocation distributions; 3.11.4. Dislocation nucleation |
|
4. Constitutive Relations4.1. Introduction; 4.2. Dissipation; 4.3. Pressure independence; 4.4. Dislocation climb versus dislocation glide; 4.5. Viscoplastic relationships; 4.6. Coarse graining; 4.7. Contact with conventional crystal plasticity; 5. Elasto-plastic Field Equations; 5.1. Introduction; 5.2. Fundamental field equations; 5.3. Boundary conditions; 5.4. Coarse graining; 5.5. Resolution algorithm; 5.6. Reduced field equations; 5.6.1. Plane dislocations; 5.7. Augmented crystal plasticity; 5.8. Dynamics of a twist boundary; 5.9. Conclusion; 5.10. Problems; 5.10.1. Helical dislocations |
| Summary |
Accompanying the present trend of engineering systems aimed at size reduction and design at microscopic/nanoscopic length scales, Mechanics of Dislocation Fields describes the self-organization of dislocation ensembles at small length scales and its consequences on the overall mechanical behavior of crystalline bodies. The account of the fundamental interactions between the dislocations and other microscopic crystal defects is based on the use of smooth field quantities and powerful tools from the mathematical theory of partial differential equations. The resulting theory is able to describe the emergence of dislocation microstructures and their evolution along complex loading paths. Scale transitions are performed between the properties of the dislocation ensembles and the mechanical behavior of the body. Several variants of this overall scheme are examined which focus on dislocation cores, electromechanical interactions of dislocations with electric charges in dielectric materials, the intermittency and scale-invariance of dislocation activity, grain-to-grain interactions in polycrystals, size effects on mechanical behavior and path dependence of strain hardening |
| Bibliography |
Includes bibliographical references (pages 203-215) and index |
| Notes |
Vendor-supplied metadata |
| Subject |
Dislocations in crystals.
|
|
TECHNOLOGY & ENGINEERING -- Engineering (General)
|
|
TECHNOLOGY & ENGINEERING -- Reference.
|
|
Dislocations in crystals
|
| Form |
Electronic book
|
| ISBN |
9781118578186 |
|
111857818X |
|
9781118578285 |
|
1118578287 |
|
