Fundamentals of the theory of plasticity:
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| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Mineola, NY
Dover Publ.
2004
|
| Edition: | First published in 2004, unabridged republication, originally published ... in 1971 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XIV, 482 S. Ill., graph. Darst. |
| ISBN: | 0486435830 |
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MARC
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| 245 | 1 | 0 | |a Fundamentals of the theory of plasticity |c L. M. Kachanov |
| 250 | |a First published in 2004, unabridged republication, originally published ... in 1971 | ||
| 264 | 1 | |a Mineola, NY |b Dover Publ. |c 2004 | |
| 300 | |a XIV, 482 S. |b Ill., graph. Darst. | ||
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| adam_text | Titel: Fundamentals of the theory of plasticity
Autor: Kačanov, Lazar Markovič
Jahr: 2004
Preface to the Second Edition xi
Basic Notation xiii
Errata xiv
Introduction 1
Chapter 1. Basic Concepts in the Mechanics of Continuous Media 5—30
1. Stress 5
2. Strain 17
3. Rate of Strain 22
4. Differential Equations of Motion. Boundary and Initial Con¬
ditions 26
5. The Mechanical Constitutive Equations of a Body 27
Problems 29
V
Chapter 2. Equations of the Plastic State
31-94
6. The Mechanical Properties of Solids 31
7. Experimental Studies of Plastic Deformations in Complex
Stress States. Simple and Complex Loading 36
8. Yield Criteria. Yield Surface and Yield Curve 38
9. Condition of Constant Maximum Tangential Stress (Tresca-
SaintVenant Criterion) 40
10. Condition of Constant Intensity of Tangential Stresses (von
Mises Criterion) 42
11. Conditions of Hardening. Loading Surface 43
12. Conditions of Isotropic Hardening 45
13. The Theory of Plastic Flow 48
14. Deformation Theory of Plasticity 54
15. Connection between Flow Theory and Deformation Theory 61
16. Generalizations in the Case of Perfect Plasticity. Associated
Flow Law 70
17. Generalizations. Case of a Hardening Medium 77
18. Drucker s Postulate. Convexity of the Loading Surface. Jus¬
tification of the Associated Flow Law 86
19. The Equations of Thermoplasticity 91
Problems 94
Chapter 3. Equations of Elastic-Plastic Equilibrium. The Simplest
Problems 95—122
20. System of Equations for Plastic Equilibrium 95
21. Continuity Conditions at the Boundary of Elastic and Plas¬
tic Regions 98
22. Residual Stresses and Strains 100
23. Plastic-Rigid Body 102
24. Elastic-Plastic Bending of a Beam 104
25. Hollow Sphere under Pressure 109
26. Cylindrical Tube under Pressure 118
Problems 122
Chapter 4. Torsion
123-144
27. Torsion of Prismatic Rods. Basic Equations
28. Plastic Torsion
29. Elastic-Plastic Torsion
30. Torsion of Hardening Rods
Problems
Chapter 5. Plane Strain
31. Basic Equations
32. Slip Lines and their Properties
33. Linearization. Simple Stress States
34. Axisymmetric Field
35. Boundary Conditions for Stresses
36. Fundamental Boundary Value Problems
37. Numerical Methods of Solution
38. Determination of the Velocity Field
39. Lines of Discontinuity in Stress and Velocity
40. Non-Uniqueness of the Velocity Field. Criterion for Selec¬
tion. Complete Solution
41. Extension of a Strip Weakened by Notches
42. Bending of a Strip Weakened by Notches
43. Bending of a Short Cantilever
44. Rectangular Neck
45. Indentation by a Flat Die
46. Wedge under the Action of a One-Sided Pressure
47. Compression of a Layer between Rigid Plates
48. Elastic-Plastic Extension of a Plane with a Circular Hole
49. Steady Plastic Flow. Drawing of a Strip
50. Non-Steady Plastic Flow with Geometric Similarity. Inden¬
tation by a Wedge
51. Construction of Compatible Stress and Velocity Fields
Problems
123
128
133
139
143
145-255
145
151
160
166
168
170
175
180
185
190
195
201
209
214
217
220
223
233
239
245
252
255
Chapter 6. Plane Stress
256-292
52. Equations of Plane Stress 256
53. Solutions with von Mises Yield Criterion. Discontinuous
Solutions 262
54. Solutions with Tresca-Saint Venant Yield Criterion. Discon¬
tinuous Solutions 277
55. Elastic-Plastic Equilibrium of a Lamina with a Circular Hole
under Uniform Pressure 283
56. Extension of a Strip Weakened by Notches 286
57. Bending of a Strip with a One-Sided Notch 290
Problems 291
Chapter 7. Axisymmetric Strain 293—323
58. Equations of Axisymmetric Strain with von Mises Yield
Criterion 293
59. Equations of Axisymmetric Strain with Tresca-Saint Venant
Yield Criterion 297
60. Stress in a Thin Plastic Layer with Tension (Compression) 305
61. Stress Distribution in the Neck of a Tension Specimen 311
62. Plastic Bending of Circular Plates 314
Problems 323
Chapter 8. Extremum Principles and Energy Methods 324—379
63. Extremum Principles 324
64. Extremum Principles for a Plastic-Rigid Body 325
65. Theorems on the Limit Load Coefficient 336
66. Determination of the Limit Load by Energy Methods 341
67. Minimum Principles in Deformation Theory 356
68. Ritz s Method. Example: Elastic-Plastic Torsion 369
69. Extremum Principles in Plastic Flow Theory 376
Problems 378
Chapter 9. Theory of Shakedown
380-395
70. Behaviour of Elastic-Plastic Bodies under Variable Loads 380
71. Shakedown Theorems for Elastic-Plastic Bodies 384
72. Approximate Method of Solution. Example 391
Problems 395
Chapter 10. Stability of Elastic-Plastic Equilibrium 396—421
73. Criteria of Stability 396
74. Stability of a Compressed Rod. Reduced-Modulus and
Tangent-Modulus Loads 400
75. Stability of a Strip Bent by Couples 410
76. Stability of Compressed Plates 413
Problems 421
Chapter 11. Dynamical Problems 422—452
77. Propagation of Elastic-Plastic Waves in a Rod 422
78. Dynamical Problems for a Plastic-Rigid Body. Some Energy
Theorems - 435
79. Longitudinal Impact of a Plastic-Rigid Rod against a Sta¬
tionary Barrier 440
80. Bending of a Plastic-Rigid Beam under an Impulsive Load 443
Problems 451
Chapter 12. Composite Media. Visco-Plasticity 453—466
81. Composite Media 453
82. Visco-Plastic Medium 460
83. Creep-Plastic Medium 463
Problems 466
Appendix 467
Bibliography 471
Index 479
|
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| illustrated | Illustrated |
| indexdate | 2024-07-09T21:37:08Z |
| institution | BVB |
| isbn | 0486435830 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-017444397 |
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| physical | XIV, 482 S. Ill., graph. Darst. |
| publishDate | 2004 |
| publishDateSearch | 2004 |
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| publisher | Dover Publ. |
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| spelling | Kačanov, Lazar' Markovič Verfasser (DE-588)136145922 aut Osnovy teorii plastichnosti Fundamentals of the theory of plasticity L. M. Kachanov First published in 2004, unabridged republication, originally published ... in 1971 Mineola, NY Dover Publ. 2004 XIV, 482 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Plastizitätstheorie (DE-588)4123953-2 gnd rswk-swf Plastizitätstheorie (DE-588)4123953-2 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017444397&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Kačanov, Lazar' Markovič Fundamentals of the theory of plasticity Plastizitätstheorie (DE-588)4123953-2 gnd |
| subject_GND | (DE-588)4123953-2 |
| title | Fundamentals of the theory of plasticity |
| title_alt | Osnovy teorii plastichnosti |
| title_auth | Fundamentals of the theory of plasticity |
| title_exact_search | Fundamentals of the theory of plasticity |
| title_full | Fundamentals of the theory of plasticity L. M. Kachanov |
| title_fullStr | Fundamentals of the theory of plasticity L. M. Kachanov |
| title_full_unstemmed | Fundamentals of the theory of plasticity L. M. Kachanov |
| title_short | Fundamentals of the theory of plasticity |
| title_sort | fundamentals of the theory of plasticity |
| topic | Plastizitätstheorie (DE-588)4123953-2 gnd |
| topic_facet | Plastizitätstheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017444397&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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