Finite plastic deformation of crystalline solids:
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| Main Author: | |
|---|---|
| Format: | Book |
| Language: | Undetermined |
| Published: |
Cambridge [u.a.]
Cambridge Univ. Press
2008
|
| Edition: | 1. publ., digitally print. |
| Series: | Cambridge monographs on mechanics and applied mathematics
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Literaturverz. S. 220 - 230 |
| Physical Description: | XIV, 235 S. graph. Darst. |
| ISBN: | 9780521054201 |
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MARC
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| 100 | 1 | |a Havner, K. S. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Finite plastic deformation of crystalline solids |c K. S. Havner |
| 250 | |a 1. publ., digitally print. | ||
| 264 | 1 | |a Cambridge [u.a.] |b Cambridge Univ. Press |c 2008 | |
| 300 | |a XIV, 235 S. |b graph. Darst. | ||
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| 337 | |b n |2 rdamedia | ||
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| 490 | 0 | |a Cambridge monographs on mechanics and applied mathematics | |
| 500 | |a Literaturverz. S. 220 - 230 | ||
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| 689 | 0 | 0 | |a Kristalliner Festkörper |0 (DE-588)4165761-5 |D s |
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Record in the Search Index
| _version_ | 1804143863101652992 |
|---|---|
| adam_text | CONTENTS
Preface
page
xi
1
An Historical Introduction
1
2
The Kinematics of Double Slip
18
2.1
General solutions for material line and plane
18
2.2
Deformation gradient and axis rotation
23
2.3
Cones of unstretched material lines
25
3
A General Theory of Elastoplastic Crystals
34
3.1
Fundamental kinematics of crystal and lattice
35
3.2
Basic stress and strain analysis
38
3.3
General relationships for arbitrary measures
41
3.4
Lattice elasticity and existence of plastic
potentials
45
3.5
Critical strengths and hardening laws:
Normality
49
3.5.1
Pressure dependence of Cauchy
flow stress
53
3.6
Constitutive inequalities: Uniqueness
55
3.7
Saddle potential functions and boundary value
problems
60
4
Axial-Load Experiments and Latent Hardening in
Single Crystals
67
4.1
Axial loading of f.cc. crystals
67
4.2
Slip systems in b.c.c. crystals
76
4.3
Axial loading of b.c.c. crystals
84
4.4
Latent-hardening theories
89
4.4.1
General equations
90
viii Contents
4.4.2
The simple theory
92
4.4.3
Taylor hardening
93
4.4.4
The P.A.N. rule
94
4.4.5
A two-parameter rule
95
4.5
Investigations of the simple theory in single slip
97
4.5.1
F.c.c. crystals
98
4.5.2
B.c.c. crystals
104
5
Analysis of Crystals in Channel Die Compression
110
5.1
Deformation gradient and stress state
112
5.2
Initial elastic analysis
114
5.3
Slip-system inequalities and kinematic relations
117
5.4
Initial critical systems in
(110)
loading:
The elastoplastic transition
120
5.5
Analysis of initial constraint directions
between (OOT) and
(1Î2)
in
(110)
loading
126
5.5.1
General solution
126
5.5.2
Numerical analysis of initial orientation
У = (1ЇЇ6)
131
5.6
Analysis of two singular orientations
137
5.6.1
Orientation
(11O)(Ï1Î)(Ï12)
138
5.6.2
Orientation
(1
10)(l 12)(1
11):
Consistency
conditions and hardening
142
5.6.3
Orientation
(110)(lT2)(ïlï):
Minimum
plastic spin
150
5.7
Survey of other orientations
157
6
Theoretical Connections between Crystal and
Aggregate Behavior
164
6.1
Crystalline aggregate model: The averaging
theorem
164
6.2
Macroscopic variables and plastic potentials
167
6.3
Macroscopic plastic potentials and generalized
normality in arbitrary conjugate variables
172
6.4
Work- and energy-related macroscopic
equations
174
7
Approximate Polycrystal Models
182
7.1
The classic theories of Taylor, Bishop, and Hill
182
7.2
Applications of Taylor-Bishop-Hill models
192
7.3
Analysis of uniqueness
195
7.4
A.survey of other models
198
Contents ix
Appendix: The General
Theory of Work-Conjugate
Stress and Strain
205
АЛ
Spin tensors of the principal directions of stretch
205
A.2 Hill s general family of conjugate stress and
strain measures
209
A.3 An invariant bilinear form
211
A.4 Measure-dependent transformations
215
References
220
Index
231
|
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| id | DE-604.BV037248952 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T22:54:25Z |
| institution | BVB |
| isbn | 9780521054201 |
| language | Undetermined |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-021162297 |
| oclc_num | 711833743 |
| open_access_boolean | |
| owner | DE-355 DE-BY-UBR |
| owner_facet | DE-355 DE-BY-UBR |
| physical | XIV, 235 S. graph. Darst. |
| publishDate | 2008 |
| publishDateSearch | 2008 |
| publishDateSort | 2008 |
| publisher | Cambridge Univ. Press |
| record_format | marc |
| series2 | Cambridge monographs on mechanics and applied mathematics |
| spelling | Havner, K. S. Verfasser aut Finite plastic deformation of crystalline solids K. S. Havner 1. publ., digitally print. Cambridge [u.a.] Cambridge Univ. Press 2008 XIV, 235 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Cambridge monographs on mechanics and applied mathematics Literaturverz. S. 220 - 230 Kristalliner Festkörper (DE-588)4165761-5 gnd rswk-swf Plastische Deformation (DE-588)4115572-5 gnd rswk-swf Kristalliner Festkörper (DE-588)4165761-5 s Plastische Deformation (DE-588)4115572-5 s DE-604 Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=021162297&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Havner, K. S. Finite plastic deformation of crystalline solids Kristalliner Festkörper (DE-588)4165761-5 gnd Plastische Deformation (DE-588)4115572-5 gnd |
| subject_GND | (DE-588)4165761-5 (DE-588)4115572-5 |
| title | Finite plastic deformation of crystalline solids |
| title_auth | Finite plastic deformation of crystalline solids |
| title_exact_search | Finite plastic deformation of crystalline solids |
| title_full | Finite plastic deformation of crystalline solids K. S. Havner |
| title_fullStr | Finite plastic deformation of crystalline solids K. S. Havner |
| title_full_unstemmed | Finite plastic deformation of crystalline solids K. S. Havner |
| title_short | Finite plastic deformation of crystalline solids |
| title_sort | finite plastic deformation of crystalline solids |
| topic | Kristalliner Festkörper (DE-588)4165761-5 gnd Plastische Deformation (DE-588)4115572-5 gnd |
| topic_facet | Kristalliner Festkörper Plastische Deformation |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=021162297&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT havnerks finiteplasticdeformationofcrystallinesolids |