Plasticity of cold worked metals: a deductive approach
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| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Southampton [u.a.]
WIT Press
2007
|
| Subjects: | |
| Online Access: | Table of contents only Inhaltsverzeichnis |
| Item Description: | Includes bibliographic references and index |
| Physical Description: | 173 p. ill. |
| ISBN: | 1845640659 9781845640651 |
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MARC
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| 020 | |a 9781845640651 |9 978-1-84564-065-1 | ||
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| 100 | 1 | |a Paglietti, Andrea |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Plasticity of cold worked metals |b a deductive approach |c A. Paglietti |
| 264 | 1 | |a Southampton [u.a.] |b WIT Press |c 2007 | |
| 300 | |a 173 p. |b ill. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 500 | |a Includes bibliographic references and index | ||
| 650 | 4 | |a Métaux - Plasticité | |
| 650 | 4 | |a Métaux - Travail à froid | |
| 650 | 4 | |a Metals |x Cold working | |
| 650 | 4 | |a Metals |x Plastic properties | |
| 856 | 4 | |u http://www.loc.gov/catdir/toc/fy0712/2006929310.html |3 Table of contents only | |
| 856 | 4 | 2 | |m Digitalisierung UB Bayreuth |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016803965&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-016803965 | ||
Record in the Search Index
| _version_ | 1804138121052291073 |
|---|---|
| adam_text | Contents
Preface
.................................................................................................. xi
Chapter
1
Introduction
.................................................................... 1
1.1
Some basic preliminaries
................................................. 1
1.2
General framework for constitutive equations of
rate-independent plasticity
............................................... 3
1.3
Convexity of the yield surface and the possible lack
of it in the elastic subranges
............................................. 9
1.4
The role of the subsequent yield surfaces in the
solution of elastic-plastic boundary-value problems
....... 13
Chapter
2
Logical Premises to Subsequent Yielding
.................... 15
2.1
Distinguishing between material matrix and
microscopic defects
.......................................................... 15
2.2
Geometrical and physical consequences
.......................... 16
2.3
Entrapped energy and permanent elastic strain
................ 17
Chapters Plastic Yielding under
Deviatone
Energy Control
..... 21
3.1 Von
Mises
elastic-plastic materials
................................. 21
3.2
Elastic energy of
von
Mises
materials
............................. 23
3.3
Symbolic expression of the subsequent yield surfaces
of
von
Mises
materials
..................................................... 24
3.4
Defect energy
................................................................... 26
Chapter
4
Geometric Representation of Strain and
Strain Energy
.................................................................. 29
4.1
Principal notation for symmetric second order
tensors
.............................................................................. 29
4.2
Two geometric interpretations of the principal
notation
............................................................................ 3 ]
4.3
Scalar-valued functions of strain
..................................... 34
4.4 Isotropie
scalar-valued functions of strain
...................... 36
4.5
Special
isotropie
functions
............................................... 37
4.6
Change of strain reference configuration
........................ 40
4.7
Isotropy with circular symmetry about the
ψ
-axis
..........
44
4.8
How body rotation affects the expression of anisotropic
scalar-valued functions of elastic strain or stress
............ 47
Chapter
5
The Elastic Energy of the Matrix
................................. 51
5.1
Determining the elastic energy stored in the matrix
........ 51
5.2
The reduced elastic energy of the matrix
......................... 53
5.3
Alternative expressions of
ψμ
......................................... 55
5.4
Deviatone
component of the matrix strain energy
.......... 58
5.5
Taking total strain as an elastic strain measure
............... 59
Chapter
6
Subsequent Yield Surfaces of
von
Mises
Materials
......................................................................... 61
6.1
The family of all subsequent yield surfaces
.................... 61
6.2
Q
cross-sections of the subsequent yield surfaces
........... 63
6.3
Yield surfaces in practice
................................................ 67
6.4
Subsequent limit curves for standard tension/torsion
tests
.................................................................................. 69
Chapter
7
The Work-Hardening Rule
........................................... 75
7.1
The variables that control work-hardening in
von
Mises
materials
........................................................................... 76
7.2
An evolution rule for e°
................................................... 77
7.3
Drag and reduction factors in practice
............................. 80
7.4
Remarks on the experimental determ ¡nation of
γ
............ 81
7.5
The experimental determination of
r
............................... 84
7.6
Qualitative appraisal of
γ
from
uniaxial
tests
.................. 85
7.7
Reverse loading and the infuence of the loading
direction
........................................................................... 88
7.8
Evolution rule for do
........................................................ 90
7.9
Plastic flow equations, convexity of the yield surface
and normality rule
............................................................ 92
Chapter
8
Flat Bars and Thin-Walled Tubes after
Uniaxial
Plastic Straining
............................................................. 95
8.1
Different motions during the same test
............................ 96
8.2
Reason for the lack of symmetry in shear of the local
σ/τ
yield curves following
uniaxial prestraining
............. 100
8.3
Overall specimen response: N/T tests produce
symmetric
σ/τ
yield limits in shear after
uniaxial
prestraining
...................................................................... 104
8.4
Materials that are not stable in Drucker s sense
.............. 110
8.5
The case of thick specimens
............................................ 111
Chapter
9
Theory versus Experiment
............................................113
9.1
Phillips and Lu s tension/torsion tests on pure
aluminium
........................................................................ 114
9.2
Numerical calculations based on the experimental
data of
Phillipsand
Lu
..................................................... 115
9.3
Evaluating
r
and
γ
............................................................ 119
9.4
Accuracy of the theoretical predictions
........................... 123
9.5
Phillips and Tang s tests
.................................................. 126
9.6
Ivey s tension/torsion experiments
.................................. 129
9.7
Remnants of a past drama from the experimental
results of Naghdi,
Essenberg
and Koff
............................ 131
Epilogue
.................................................................................................139
Appendix A Elastic Energy of Linear Elastic Materials
................141
Appendix
В
Rotation Tensors
..........................................................149
Appendix
С
Anisotropie
Past Strain Effect
....................................161
Appendix
D
Recurring Rotation Tensors
........................................167
References
.............................................................................................169
Index
......................................................................................................171
|
| adam_txt |
Contents
Preface
. xi
Chapter
1
Introduction
. 1
1.1
Some basic preliminaries
. 1
1.2
General framework for constitutive equations of
rate-independent plasticity
. 3
1.3
Convexity of the yield surface and the possible lack
of it in the elastic subranges
. 9
1.4
The role of the subsequent yield surfaces in the
solution of elastic-plastic boundary-value problems
. 13
Chapter
2
Logical Premises to Subsequent Yielding
. 15
2.1
Distinguishing between material matrix and
microscopic defects
. 15
2.2
Geometrical and physical consequences
. 16
2.3
Entrapped energy and permanent elastic strain
. 17
Chapters Plastic Yielding under
Deviatone
Energy Control
. 21
3.1 Von
Mises
elastic-plastic materials
. 21
3.2
Elastic energy of
von
Mises
materials
. 23
3.3
Symbolic expression of the subsequent yield surfaces
of
von
Mises
materials
. 24
3.4
Defect energy
. 26
Chapter
4
Geometric Representation of Strain and
Strain Energy
. 29
4.1
Principal notation for symmetric second order
tensors
. 29
4.2
Two geometric interpretations of the principal
notation
. 3 ]
4.3
Scalar-valued functions of strain
. 34
4.4 Isotropie
scalar-valued functions of strain
. 36
4.5
Special
isotropie
functions
. 37
4.6
Change of strain reference configuration
. 40
4.7
Isotropy with circular symmetry about the
ψ
-axis
.
44
4.8
How body rotation affects the expression of anisotropic
scalar-valued functions of elastic strain or stress
. 47
Chapter
5
The Elastic Energy of the Matrix
. 51
5.1
Determining the elastic energy stored in the matrix
. 51
5.2
The reduced elastic energy of the matrix
. 53
5.3
Alternative expressions of
ψμ
. 55
5.4
Deviatone
component of the matrix strain energy
. 58
5.5
Taking total strain as an elastic strain measure
. 59
Chapter
6
Subsequent Yield Surfaces of
von
Mises
Materials
. 61
6.1
The family of all subsequent yield surfaces
. 61
6.2
Q
cross-sections of the subsequent yield surfaces
. 63
6.3
Yield surfaces in practice
. 67
6.4
Subsequent limit curves for standard tension/torsion
tests
. 69
Chapter
7
The Work-Hardening Rule
. 75
7.1
The variables that control work-hardening in
von
Mises
materials
. 76
7.2
An evolution rule for e°
. 77
7.3
Drag and reduction factors in practice
. 80
7.4
Remarks on the experimental determ ¡nation of
γ
. 81
7.5
The experimental determination of
r
. 84
7.6
Qualitative appraisal of
γ
from
uniaxial
tests
. 85
7.7
Reverse loading and the infuence of the loading
direction
. 88
7.8
Evolution rule for do
. 90
7.9
Plastic flow equations, convexity of the yield surface
and normality rule
. 92
Chapter
8
Flat Bars and Thin-Walled Tubes after
Uniaxial
Plastic Straining
. 95
8.1
Different motions during the same test
. 96
8.2
Reason for the lack of symmetry in shear of the local
σ/τ
yield curves following
uniaxial prestraining
. 100
8.3
Overall specimen response: N/T tests produce
symmetric
σ/τ
yield limits in shear after
uniaxial
prestraining
. 104
8.4
Materials that are not stable in Drucker's sense
. 110
8.5
The case of thick specimens
. 111
Chapter
9
Theory versus Experiment
.113
9.1
Phillips and Lu's tension/torsion tests on pure
aluminium
. 114
9.2
Numerical calculations based on the experimental
data of
Phillipsand
Lu
. 115
9.3
Evaluating
r
and
γ
. 119
9.4
Accuracy of the theoretical predictions
. 123
9.5
Phillips and Tang's tests
. 126
9.6
Ivey's tension/torsion experiments
. 129
9.7
Remnants of a past drama from the experimental
results of Naghdi,
Essenberg
and Koff
. 131
Epilogue
.139
Appendix A Elastic Energy of Linear Elastic Materials
.141
Appendix
В
Rotation Tensors
.149
Appendix
С
Anisotropie
Past Strain Effect
.161
Appendix
D
Recurring Rotation Tensors
.167
References
.169
Index
.171 |
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| institution | BVB |
| isbn | 1845640659 9781845640651 |
| language | English |
| lccn | 2006929310 |
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| physical | 173 p. ill. |
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| spelling | Paglietti, Andrea Verfasser aut Plasticity of cold worked metals a deductive approach A. Paglietti Southampton [u.a.] WIT Press 2007 173 p. ill. txt rdacontent n rdamedia nc rdacarrier Includes bibliographic references and index Métaux - Plasticité Métaux - Travail à froid Metals Cold working Metals Plastic properties http://www.loc.gov/catdir/toc/fy0712/2006929310.html Table of contents only Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016803965&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Paglietti, Andrea Plasticity of cold worked metals a deductive approach Métaux - Plasticité Métaux - Travail à froid Metals Cold working Metals Plastic properties |
| title | Plasticity of cold worked metals a deductive approach |
| title_auth | Plasticity of cold worked metals a deductive approach |
| title_exact_search | Plasticity of cold worked metals a deductive approach |
| title_exact_search_txtP | Plasticity of cold worked metals a deductive approach |
| title_full | Plasticity of cold worked metals a deductive approach A. Paglietti |
| title_fullStr | Plasticity of cold worked metals a deductive approach A. Paglietti |
| title_full_unstemmed | Plasticity of cold worked metals a deductive approach A. Paglietti |
| title_short | Plasticity of cold worked metals |
| title_sort | plasticity of cold worked metals a deductive approach |
| title_sub | a deductive approach |
| topic | Métaux - Plasticité Métaux - Travail à froid Metals Cold working Metals Plastic properties |
| topic_facet | Métaux - Plasticité Métaux - Travail à froid Metals Cold working Metals Plastic properties |
| url | http://www.loc.gov/catdir/toc/fy0712/2006929310.html http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016803965&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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