Nonlinear theory of dislocations and disclinations in elastic bodies:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
1997
|
| Schriftenreihe: | [Lecture notes in physics / M]
47 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | VI, 205 S. graph. Darst. |
| ISBN: | 3540626840 |
Internformat
MARC
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| 100 | 1 | |a Zubov, Leonid M. |d 1943- |e Verfasser |0 (DE-588)115609504 |4 aut | |
| 245 | 1 | 0 | |a Nonlinear theory of dislocations and disclinations in elastic bodies |c Leonid M. Zubov |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 1997 | |
| 300 | |a VI, 205 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a [Lecture notes in physics / M] |v 47 | |
| 650 | 4 | |a Dislocations in crystals | |
| 650 | 4 | |a Elasticity | |
| 650 | 4 | |a Nonlinear theories | |
| 650 | 4 | |a Solid state physics | |
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| 650 | 0 | 7 | |a Kristallstruktur |0 (DE-588)4136176-3 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Nichtlineare Elastizitätstheorie |0 (DE-588)4171750-8 |2 gnd |9 rswk-swf |
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Datensatz im Suchindex
| _version_ | 1825834697835413504 |
|---|---|
| adam_text |
CONTENTS
INTRODUCTION
.
1
1
VOLTERRA
'
S
DISLOCATIONS
IN
ELASTIC
BODY.
LARGE
DEFORMATION
.
9
1.1
THE
RELATIONS
OF
NONLINEAR
ELASTICITY
.
9
1.2
DISPLACEMENTS
IN
ELASTIC
BODY
WITH
GIVEN
FINITE
STRAIN
TENSOR
.
14
1.3
EXTENSION
OF
WEINGARTEN
'
S
THEOREM
TO
LARGE
DEFORMATION
.
17
1.4
MULTI-VALUED
DISPLACEMENTS
AND
VOLTERRA
DISLOCATIONS
IN
NONLINEAR
PLANE
ELASTICITY
.
28
1.5
TOTAL
BURGERS
AND
FRANK
VECTORS
FOR
A
SYSTEM
OF
ISOLATED
DEFECTS.
DENSITY
OF
CONTINUOUSLY
DISTRIBUTED
DISLOCATIONS
AND
DISCLINATIONS
.
35
2
STRESSED
STATE
OF
NONLINEARLY
ELASTIC
BODIES
WITH
DISLOCATIONS
AND
DISCLINATIONS
.
41
2.1
FINDING
THE
STRESSED
STATE
OF
ELASTIC
BODY
WITH
GIVEN
CHARACTERISTICS
OF
ISOLATED
DEFECT;
SET
UP
OF
THE
PROBLEM
.
41
2.2
VARIATIONAL
FORMULATION
OF
THE
PROBLEM
OF
VOLTERRA
DISLOCATIONS
IN
NONLINEAR
ELASTICITY
.
44
2.3
THE
SEMI-INVERSE
METHOD
FOR
SOLVING
QUASI-STATIC
PROBLEMS
OF
NONLINEAR
MECHANICS
OF
SOLIDS
.
50
2.4
COMBINATION
OF
SCREW
DISLOCATION
AND
WEDGE
DISCLINATION
IN
NONLINEAR
ELASTIC
CYLINDER
.
56
3
EXACT
SOLUTIONS
STRESSED
TO
THE
PROBLEMS
ON
VOLTERRA
DISLOCATIONS
IN
NONLINEARLY
ELASTIC
BODIES
.
65
3.1
THE
WEDGE
DISCLINATION
IN
NONLINEARLY
ELASTIC
BODY
.
65
3.2
THE
STRESS
FIELD
DUE
TO
SCREW
DISLOCATION
IN
THE
NONLINEAR
ELASTIC
BODY
.
73
3.3
SOLVING
THE
WEDGE
DISCLINATION
PROBLEM
WITH
USE
OF
THE
COMPATIBILITY
EQUATIONS
.
79
3.4
CONJUGATE
SOLUTIONS
IN
NONLINEAR
ELASTICITY
AND
THEIR
APPLICATION
TO
THE
DISCLINATION
PROBLEM
.
83
3.5
THE
EDGE
DISLOCATION
IN
A
NONLINEARLY
ELASTIC
MEDIUM
.
88
3.6
A
CAVITATION
NEAR
THE
LINE
OF
DISLOCATION
OR
DISCLINATION
.
98
VI
CONTENTS
4
ISOLATED
DEFECTS
IN
NONLINEARLY
ELASTIC
BODIES
WITH
COUPLE
STRESSES
.
103
4.1
GENERAL
RELATIONS
IN
NONLINEAR
THEORY
OF
ASYMMETRIC
ELASTICITY
103
4.2
WEINGARTEN
'
S
THEOREM
AND
VOLTERRA
DISLOCATIONS
IN
COUPLE
STRESS
MEDIUM
UNDERGOING
LARGE
STRAINS
.
108
4.3
NONLINEAR
PROBLEMS
OF
SCREW
DISLOCATION
AND
WEDGE
DISCLINATION
WITH
REGARD
FOR
COUPLE
STRESSES
.
112
4.4
VOLTERRA
DISLOCATIONS
IN
NONLINEARLY
ELASTIC
BODIES
WITH
MICROSTRUCTURE
.
118
4.5
ENERGY
INTEGRALS
CHARACTERIZING
THE
FORCE
OF
ACTION
ON
A
DEFECT
IN
MICROPOLAR
MEDIA
.
125
5
NONLINEAR
THEORY
OF
DISLOCATIONS
AND
DISCLINATIONS
IN
ELASTIC
SHELLS
.
131
5.1
GENERAL
STATEMENTS
OF
NONLINEAR
THEORY
OF
ELASTIC
SHELLS
.
131
5.2
VOLTERRA
DISLOCATIONS
IN
CLASSICAL
NONLINEAR
THEORY
OF
ELASTIC
SHELLS
.
140
5.3
ISOLATED
AND
CONTINUOUSLY
DISTRIBUTED
DEFECTS
IN
COSSERAT-TYPE
SHELLS
.
144
5.4
INVARIANT
CONTOUR
INTEGRALS
IN
THE
NONLINEAR
THEORY
OF
PLATES
AND
SHELLS
.
154
5.5
THE
TWO
PROBLEMS:
A
WEDGE
DISCLINATION
IN
A
SHELL
OF
REVOLUTION
AND
A
SCREW
DISLOCATION
IN
A
CYLINDRICAL
SHELL
.
158
5.6
EQUILIBRIUM
OF
A
MEMBRANE
WITH
DISCLINATION
.
161
6
STABILITY
OF
EQUILIBRIUM
AND
WAVE
PROPAGATION
IN
BODIES
WITH
INHERENT
STRESSES
.
167
6.1
THE
LINEARIZED
EQUILIBRIUM
AND
MOTION
EQUATIONS
FOR
ELASTIC
BODIES
WITH
INHERENT
STRESSES
.
167
6.2
STABILITY
OF
ELASTIC
CYLINDER
WITH
DISCLINATION
.
170
6.3
THE
EFFECT
OF
SCREW
DISLOCATION
ON
THE
STABILITY
AND
WAVE
PROPAGATION
IN
ELASTIC
CYLINDER
.
178
6.4
BUCKLING
OF
THIN
ELASTIC
PLATE
WITH
DISCLINATION
.
188
REFERENCES
.
193
NOTATIONS
.
197
INDEX
.
203 |
| any_adam_object | 1 |
| author | Zubov, Leonid M. 1943- |
| author_GND | (DE-588)115609504 |
| author_facet | Zubov, Leonid M. 1943- |
| author_role | aut |
| author_sort | Zubov, Leonid M. 1943- |
| author_variant | l m z lm lmz |
| building | Verbundindex |
| bvnumber | BV011524090 |
| callnumber-first | Q - Science |
| callnumber-label | QC176 |
| callnumber-raw | QC176 |
| callnumber-search | QC176 |
| callnumber-sort | QC 3176 |
| callnumber-subject | QC - Physics |
| classification_rvk | UD 8221 |
| classification_tum | MTA 050f PHY 202f WER 023f |
| ctrlnum | (OCoLC)246856513 (DE-599)BVBBV011524090 |
| dewey-full | 620.11232 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 620 - Engineering and allied operations |
| dewey-raw | 620.11232 |
| dewey-search | 620.11232 |
| dewey-sort | 3620.11232 |
| dewey-tens | 620 - Engineering and allied operations |
| discipline | Physik Werkstoffwissenschaften |
| format | Book |
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| id | DE-604.BV011524090 |
| illustrated | Illustrated |
| indexdate | 2025-03-06T09:00:56Z |
| institution | BVB |
| isbn | 3540626840 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007755487 |
| oclc_num | 246856513 |
| open_access_boolean | |
| owner | DE-703 DE-91G DE-BY-TUM |
| owner_facet | DE-703 DE-91G DE-BY-TUM |
| physical | VI, 205 S. graph. Darst. |
| publishDate | 1997 |
| publishDateSearch | 1997 |
| publishDateSort | 1997 |
| publisher | Springer |
| record_format | marc |
| series2 | [Lecture notes in physics / M] |
| spelling | Zubov, Leonid M. 1943- Verfasser (DE-588)115609504 aut Nonlinear theory of dislocations and disclinations in elastic bodies Leonid M. Zubov Berlin [u.a.] Springer 1997 VI, 205 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier [Lecture notes in physics / M] 47 Dislocations in crystals Elasticity Nonlinear theories Solid state physics Nichtlineare Theorie (DE-588)4251279-7 gnd rswk-swf Nichtlineare Mechanik (DE-588)4042095-4 gnd rswk-swf Festkörper (DE-588)4016918-2 gnd rswk-swf Kristallstruktur (DE-588)4136176-3 gnd rswk-swf Nichtlineare Elastizitätstheorie (DE-588)4171750-8 gnd rswk-swf Versetzung Kristallographie (DE-588)4187993-4 gnd rswk-swf Versetzung Kristallographie (DE-588)4187993-4 s Nichtlineare Elastizitätstheorie (DE-588)4171750-8 s DE-604 Nichtlineare Mechanik (DE-588)4042095-4 s 1\p DE-604 Kristallstruktur (DE-588)4136176-3 s 2\p DE-604 Nichtlineare Theorie (DE-588)4251279-7 s 3\p DE-604 Festkörper (DE-588)4016918-2 s 4\p DE-604 M] [Lecture notes in physics 47 (DE-604)BV021852221 47 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007755487&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 4\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Zubov, Leonid M. 1943- Nonlinear theory of dislocations and disclinations in elastic bodies Dislocations in crystals Elasticity Nonlinear theories Solid state physics Nichtlineare Theorie (DE-588)4251279-7 gnd Nichtlineare Mechanik (DE-588)4042095-4 gnd Festkörper (DE-588)4016918-2 gnd Kristallstruktur (DE-588)4136176-3 gnd Nichtlineare Elastizitätstheorie (DE-588)4171750-8 gnd Versetzung Kristallographie (DE-588)4187993-4 gnd |
| subject_GND | (DE-588)4251279-7 (DE-588)4042095-4 (DE-588)4016918-2 (DE-588)4136176-3 (DE-588)4171750-8 (DE-588)4187993-4 |
| title | Nonlinear theory of dislocations and disclinations in elastic bodies |
| title_auth | Nonlinear theory of dislocations and disclinations in elastic bodies |
| title_exact_search | Nonlinear theory of dislocations and disclinations in elastic bodies |
| title_full | Nonlinear theory of dislocations and disclinations in elastic bodies Leonid M. Zubov |
| title_fullStr | Nonlinear theory of dislocations and disclinations in elastic bodies Leonid M. Zubov |
| title_full_unstemmed | Nonlinear theory of dislocations and disclinations in elastic bodies Leonid M. Zubov |
| title_short | Nonlinear theory of dislocations and disclinations in elastic bodies |
| title_sort | nonlinear theory of dislocations and disclinations in elastic bodies |
| topic | Dislocations in crystals Elasticity Nonlinear theories Solid state physics Nichtlineare Theorie (DE-588)4251279-7 gnd Nichtlineare Mechanik (DE-588)4042095-4 gnd Festkörper (DE-588)4016918-2 gnd Kristallstruktur (DE-588)4136176-3 gnd Nichtlineare Elastizitätstheorie (DE-588)4171750-8 gnd Versetzung Kristallographie (DE-588)4187993-4 gnd |
| topic_facet | Dislocations in crystals Elasticity Nonlinear theories Solid state physics Nichtlineare Theorie Nichtlineare Mechanik Festkörper Kristallstruktur Nichtlineare Elastizitätstheorie Versetzung Kristallographie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007755487&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV021852221 |
| work_keys_str_mv | AT zubovleonidm nonlineartheoryofdislocationsanddisclinationsinelasticbodies |