Plasticity of Metallic Materials presents a rigorous framework for description of plasticity phenomena, classic and recent models for isotropic and anisotropic materials, new original analytical solutions to various elastic/plastic boundary value problems and new interpretations of mechanical data based on these recent models. The book covers models for metals with both cubic and hexagonal crystal structures, presents the mechanical tests required to determine the model parameters, various identification procedures, verification, and validation tests, and numerous applications to metal forming.
1. Title of Book - p. i 2. Cover image - p. i 3. Title page - p. ii 4. Table of Contents - p. iii 5. Copyright - p. iii 6. Preface - p. xi 7. 1. Constitutive framework - p. 1 8. 2. Yield criteria for isotropic materials - p. 37 9. Abstract - p. 37 10. 2.1 General mathematical form of the yield function of an isotropic material - p. 37 11. 2.2 Yield criterion of von Mises - p. 43 12. 2.3 Tresca yield criterion - p. 47 13. 2.4 Yield criteria depending on J2J2 and J3J3 - p. 59 14. 2.5 Non-quadratic isotropic yield criteria in terms of the eigenvalues of the stress deviator - p. 70 15. 2.6 Influence of the yielding characteristics on the size of the plastic zone near a crack in a thin sheet loaded in tension - p. 75 16. 2.7 Yield criteria for fully dense isotropic metallic materials showing asymmetry between tension and compression - p. 86 17. References - p. 112 18. 3. Yield criteria for anisotropic materials - p. 115 19. Abstract - p. 115 20. 3.1 Material symmetries and invariance requirements - p. 117 21. 3.2 Generalized invariants approach - p. 123 22. 3.3 Yield criteria for single crystals - p. 133 23. 3.4 Yield criteria for anisotropic polycrystalline metallic materials with the same response in tension and compression - p. 141 24. 3.5 Combined effects of tension–compression asymmetry and anisotropy on yielding of pressure-insensitive textured metallic materials - p. 181 25. 3.6 Influence of plastic anisotropy on the inception of localization bands under tensile loading: new analytical expressions for the band orientations - p. 197 26. References - p. 205 27. 4. Experimental characterization and modeling of metallic materials with cubic crystal structure - p. 209 28. 5. Experimental characterization and modeling of metallic materials with hexagonal closed-packed structure - p. 265 29. 6. Elastic/plastic behavior of metallic materials in torsion and bending - p. 311 30. Abstract - p. 311 31. 6.1 Elastic/plastic behavior of isotropic materials in torsion - p. 312 32. 6.1.2 Elastic/plastic solution for materials with yielding governed by the von Mises and Drucker (1949) yield criterion - p. 316 33. 6.1.3 Elastic/plastic solution for materials displaying tension–compression asymmetry - p. 319 34. 6.2 Combined axial torsion loading of isotropic materials - p. 327 35. 6.3 Elastic/plastic behavior of orthotropic materials under torsion and combined axial-torsion loadings - p. 364 36. 6.4 Combined axial-torsion loadings: F.E. results on high-purity hcp-Ti - p. 377 37. 6.5 Bending of prismatic beams - p. 381 38. 6.6 Combined effects of anisotropy and tension–compression asymmetry on the response in bending of hcp metals - p. 410 39. References - p. 420 40. 7. Forming of materials with cubic crystal structure - p. 425 41. 8. Forming of titanium materials - p. 479 42. Index - p. 539
Plasticity of Metallic Materials presents a rigorous framework for description of plasticity phenomena, classic and recent models for isotropic and anisotropic materials, new original analytical solutions to various elastic/plastic boundary value problems and new interpretations of mechanical data based on these recent models. The book covers models for metals with both cubic and hexagonal crystal structures, presents the mechanical tests required to determine the model parameters, various identification procedures, verification, and validation tests, and numerous applications to metal forming.
1. Title of Book - p. i 2. Cover image - p. i 3. Title page - p. ii 4. Table of Contents - p. iii 5. Copyright - p. iii 6. Preface - p. xi 7. 1. Constitutive framework - p. 1 8. 2. Yield criteria for isotropic materials - p. 37 9. Abstract - p. 37 10. 2.1 General mathematical form of the yield function of an isotropic material - p. 37 11. 2.2 Yield criterion of von Mises - p. 43 12. 2.3 Tresca yield criterion - p. 47 13. 2.4 Yield criteria depending on J2J2 and J3J3 - p. 59 14. 2.5 Non-quadratic isotropic yield criteria in terms of the eigenvalues of the stress deviator - p. 70 15. 2.6 Influence of the yielding characteristics on the size of the plastic zone near a crack in a thin sheet loaded in tension - p. 75 16. 2.7 Yield criteria for fully dense isotropic metallic materials showing asymmetry between tension and compression - p. 86 17. References - p. 112 18. 3. Yield criteria for anisotropic materials - p. 115 19. Abstract - p. 115 20. 3.1 Material symmetries and invariance requirements - p. 117 21. 3.2 Generalized invariants approach - p. 123 22. 3.3 Yield criteria for single crystals - p. 133 23. 3.4 Yield criteria for anisotropic polycrystalline metallic materials with the same response in tension and compression - p. 141 24. 3.5 Combined effects of tension–compression asymmetry and anisotropy on yielding of pressure-insensitive textured metallic materials - p. 181 25. 3.6 Influence of plastic anisotropy on the inception of localization bands under tensile loading: new analytical expressions for the band orientations - p. 197 26. References - p. 205 27. 4. Experimental characterization and modeling of metallic materials with cubic crystal structure - p. 209 28. 5. Experimental characterization and modeling of metallic materials with hexagonal closed-packed structure - p. 265 29. 6. Elastic/plastic behavior of metallic materials in torsion and bending - p. 311 30. Abstract - p. 311 31. 6.1 Elastic/plastic behavior of isotropic materials in torsion - p. 312 32. 6.1.2 Elastic/plastic solution for materials with yielding governed by the von Mises and Drucker (1949) yield criterion - p. 316 33. 6.1.3 Elastic/plastic solution for materials displaying tension–compression asymmetry - p. 319 34. 6.2 Combined axial torsion loading of isotropic materials - p. 327 35. 6.3 Elastic/plastic behavior of orthotropic materials under torsion and combined axial-torsion loadings - p. 364 36. 6.4 Combined axial-torsion loadings: F.E. results on high-purity hcp-Ti - p. 377 37. 6.5 Bending of prismatic beams - p. 381 38. 6.6 Combined effects of anisotropy and tension–compression asymmetry on the response in bending of hcp metals - p. 410 39. References - p. 420 40. 7. Forming of materials with cubic crystal structure - p. 425 41. 8. Forming of titanium materials - p. 479 42. Index - p. 539
