Theory of shell structures:
Gespeichert in:
Hauptverfasser: | , |
---|---|
Format: | Buch |
Sprache: | English |
Veröffentlicht: |
Düsseldorf
VDI-Verl.
2000
|
Ausgabe: | Als Ms. gedr. |
Schriftenreihe: | Verein Deutscher Ingenieure: [Fortschrittberichte VDI / 18]
258 Technisch-wissenschaftliche Mitteilungen, Institut für Konstruktiven Ingenieurbau, Ruhr-Universität Bochum |
Schlagworte: | |
Online-Zugang: | Inhaltsverzeichnis |
Beschreibung: | VII, 139 S. graph. Darst. |
ISBN: | 3183258188 |
Internformat
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100 | 1 | |a Basar, Yavuz |e Verfasser |4 aut | |
245 | 1 | 0 | |a Theory of shell structures |c Yavuz Basar ; Wilfried B. Krätzig |
250 | |a Als Ms. gedr. | ||
264 | 1 | |a Düsseldorf |b VDI-Verl. |c 2000 | |
300 | |a VII, 139 S. |b graph. Darst. | ||
336 | |b txt |2 rdacontent | ||
337 | |b n |2 rdamedia | ||
338 | |b nc |2 rdacarrier | ||
490 | 1 | |a Verein Deutscher Ingenieure: [Fortschrittberichte VDI / 18] |v 258 | |
490 | 0 | |a Technisch-wissenschaftliche Mitteilungen, Institut für Konstruktiven Ingenieurbau, Ruhr-Universität Bochum | |
650 | 4 | |a Plattentheorie | |
650 | 4 | |a Schalentheorie | |
650 | 4 | |a Scheibentheorie | |
650 | 0 | 7 | |a Scheibentheorie |0 (DE-588)4514660-3 |2 gnd |9 rswk-swf |
650 | 0 | 7 | |a Schalentheorie |0 (DE-588)4179356-0 |2 gnd |9 rswk-swf |
650 | 0 | 7 | |a Plattentheorie |0 (DE-588)4174891-8 |2 gnd |9 rswk-swf |
689 | 0 | 0 | |a Schalentheorie |0 (DE-588)4179356-0 |D s |
689 | 0 | |5 DE-604 | |
689 | 1 | 0 | |a Plattentheorie |0 (DE-588)4174891-8 |D s |
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Datensatz im Suchindex
_version_ | 1805068574771904512 |
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adam_text |
CONTENTS
V
CONTENTS
1
INTRODUCTION
AS
STRUCTURAL
COMPONENTS
.
1
1.1
SHELLS
AS
STRUCTURAL
COMPONENTS
.
1
1.2
SHELL
THEORY
AND
CONTINUUM
MECHANICS
.
2
1.3
THE
THEORY
OF
C
OSSERAT
SURFACES
.
3
1.4
TECHNICAL
OR
ENGINEERING
SHELL
THEORIES
.
3
1.5
MODEM
ASPECTS
OF
ENGINEERING
SHELL
THEORIES
.
5
REFERENCES
TO
CHAPTER
1
.
6
2
MATHEMATICAL
FUNDAMENTALS
.
9
2.1
TENSOR
CALCULUS
.
9
2.1.1
NOTATIONS
.
9
2.1.2
SURFACE
TENSORS
.
11
2.1.3
TENSORIAL
OPERATIONS
.
12
2.2
METRIE
PROPERTIES
ON
A
SURFACE
.
13
2.2.1
THE
FIRST
FUNDAMENTAL
FORM
.
13
2.2.2
VECTOR
DECOMPOSITION
.
17
2.3
CURVATURE
PROPERTIES
OF
A
SURFACE
.
18
2.3.1
E-TENSOR
.
18
2.3.2 SECOND
FUNDAMENTAL
FORM
.
20
2.3.3
USEFUL
RESULTS
IN
CONNECTION
WITH
THE
CURVATURE
TENSOR
.
20
2.4
TENSOR
ANALYSIS
.
22
2.4.1
C
HRISTOFFEL
SYMBOLS
.
22
2.4.2
COVARIANT
DIFFERENTIATION
.
23
2.4.3
THE
SECOND
COVARIANT
DERIVATIVE
AND
THE
R
IEMANN
TENSOR
.
25
2.5
FUERTHER
USEFUL
RESULTS
OF
THE
SURFACE
THEORY
.
26
2.5.1
ORTHOGONAL
CARTESIAN
COORDINATES
.
26
2.5.2
A
RIGHT-HANDED
VECTOR
TRIAD
ALONG
A
SURFACE
CURVE
.
27
2.5.3
G
REEN
-G
AUSS
THEOREM
.
28
2.5.4
GEOMETRICAL
ELEMENTS
OF
SOME
SPECIAL
SURFACES
.
29
REFERENCES
TO
CHAPTER
2
.
29
EXERCISES
TO
CHAPTER
2
.
29
VI
CONTENTS
3
GENERAL
BENDING
THEORY
OF
SHELLS
.
39
3.1
INTRODUCTION
.
3.2
GEOMETRY
OF
THE
SHELL
CONTINUUM
.
41
3.3
ASSUMPTIONS
.
44
3.4
SHELL
VARIABLES
.
45
3.4.1
DISPLACEMENT
VARIABLES
.
45
3.4.2
STRAIN
VARIABLES
.
48
3.4.3
EXTEMAL
FORCE
VARIABLES
.
50
3.4.4
INTERNAL
FORCE
VARIABLES
.
51
3.5
FIELD
EQUATIONS
.
56
3.5.1
KINEMATIC
RELATIONS
.
56
3.5.2
EQUILIBRIUM
CONDITIONS
.
57
3.6
BOUNDARY
VARIABLES
.
60
3.7
PRINCIPLE
OF
VIRTUAL
WORK
.
64
3.8
CONSTITUTIVE
EQUATIONS
.
68
3.9
DYNAMIC
LOADS
.
73
3.10
TEMPERATURE
FIELDS
.
74
3.11
OPERATOR
FORMULATION
.
76
3.11.1
VARIABLES
.
76
3.11.2
RELATIONS
.
78
3.11.3
CONSISTENCY
.
81
3.12
KINEMATIC
RELATIONS
FOR
ISOPARAMETRIC
FINITE-ELEMENT
FORMULATION
.
82
3.13
THEORY
OF
PLATES
.
84
3.13.1
PLATES
UNDER
IN-PLANE
LOADS
.
85
3.13.2
PLATES
UNDER
NORMAL
LOADS
.
86
REFERENCES
TO
CHAPTEF
3
.
89
EXERCISES
TO
CHAPTER
3
.
91
4
K
IRCHHOFF
-L
OVE
TYPE
THEORIES
.
95
4.1
BASIS
RELATIONS
.
95
4.2
BOUNDARY
VARIABLES
.
98
4.3
PRINCIPLE
OF
VIRTUAL
WORK
.
103
4.4
OPERATOR
FORMULATION
.
103
CONTENTS
VII
4.5
THEORY
OF
PLATES
.
106
REFERENCES
TO
CHAPTER
4
.
107
EXCERSISES
TO
CHAPTER
4
.
108
5
ENERGY
THEOREMS
.
109
5.1
SURVEY
OF
THE
SHEAR
DEFORMATION
THEORY
.
109
5.2
G
REEN
-G
AUSS
THEOREM
AND
CONSERVATION
OF
ENERGY
.
113
5.3
THE
CLASSICAL
VARIATIONAL
PRINCIPLES
.
117
5.3.1
THE
PRINCIPLE
OF
VIRTUAL
WORK
.
117
5.3.2
THE
PRINCIPLE
OF
CONJUGATE
VIRTUAL
WORK
.
118
5.4
STATIONARITY
PRINCIPLES
FOR
ELASTIC
MATERIALS
.
119
5.4.1
PRINCIPLE
OF
STATIONARY
ELASTIC
POTENTIAL
.
120
5.4.2
PRINCIPLE
OF
STATIONARY
CONJUGATE
ELASTIC
POTENTIAL
.
122
5.5
GENERALIZED
PRINCIPLES
.
124
5.5.1
H
ELLINGER
-R
EISSNER
PRINCIPLE
.
125
5.5.2
H
U
-W
ASHIZU
PRINCIPLE
.
127
5.6
THEOREMS
FOR
A
LINEAR
ELASTIC
MATERIAL
.
129
5.6.1
B
ETTI
'
S
RECIPROCITY
THEOREM
.
129
5.6.2
C
ASTIGLIANO
'
S
THEOREMS
.
131
5.7
H
AMILTON
'
S
PRINCIPLE
.
132
5.8
CONCLUDING
REMARKS
.
134
REFERENCES
TO
CHAPTER
5
.
136
EXERCISES
TO
CHAPTER
5
.
137 |
any_adam_object | 1 |
author | Basar, Yavuz Krätzig, Wilfried B. 1932-2017 |
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author_facet | Basar, Yavuz Krätzig, Wilfried B. 1932-2017 |
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discipline | Physik Bauingenieurwesen |
edition | Als Ms. gedr. |
format | Book |
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illustrated | Illustrated |
indexdate | 2024-07-20T03:52:17Z |
institution | BVB |
isbn | 3183258188 |
language | English |
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owner_facet | DE-91G DE-BY-TUM DE-210 DE-703 DE-634 DE-83 |
physical | VII, 139 S. graph. Darst. |
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series2 | Verein Deutscher Ingenieure: [Fortschrittberichte VDI / 18] Technisch-wissenschaftliche Mitteilungen, Institut für Konstruktiven Ingenieurbau, Ruhr-Universität Bochum |
spelling | Basar, Yavuz Verfasser aut Theory of shell structures Yavuz Basar ; Wilfried B. Krätzig Als Ms. gedr. Düsseldorf VDI-Verl. 2000 VII, 139 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Verein Deutscher Ingenieure: [Fortschrittberichte VDI / 18] 258 Technisch-wissenschaftliche Mitteilungen, Institut für Konstruktiven Ingenieurbau, Ruhr-Universität Bochum Plattentheorie Schalentheorie Scheibentheorie Scheibentheorie (DE-588)4514660-3 gnd rswk-swf Schalentheorie (DE-588)4179356-0 gnd rswk-swf Plattentheorie (DE-588)4174891-8 gnd rswk-swf Schalentheorie (DE-588)4179356-0 s DE-604 Plattentheorie (DE-588)4174891-8 s Scheibentheorie (DE-588)4514660-3 s Krätzig, Wilfried B. 1932-2017 Verfasser (DE-588)121662195 aut 18] Verein Deutscher Ingenieure: [Fortschrittberichte VDI 258 (DE-604)BV001902156 258 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009251879&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
spellingShingle | Basar, Yavuz Krätzig, Wilfried B. 1932-2017 Theory of shell structures Plattentheorie Schalentheorie Scheibentheorie Scheibentheorie (DE-588)4514660-3 gnd Schalentheorie (DE-588)4179356-0 gnd Plattentheorie (DE-588)4174891-8 gnd |
subject_GND | (DE-588)4514660-3 (DE-588)4179356-0 (DE-588)4174891-8 |
title | Theory of shell structures |
title_auth | Theory of shell structures |
title_exact_search | Theory of shell structures |
title_full | Theory of shell structures Yavuz Basar ; Wilfried B. Krätzig |
title_fullStr | Theory of shell structures Yavuz Basar ; Wilfried B. Krätzig |
title_full_unstemmed | Theory of shell structures Yavuz Basar ; Wilfried B. Krätzig |
title_short | Theory of shell structures |
title_sort | theory of shell structures |
topic | Plattentheorie Schalentheorie Scheibentheorie Scheibentheorie (DE-588)4514660-3 gnd Schalentheorie (DE-588)4179356-0 gnd Plattentheorie (DE-588)4174891-8 gnd |
topic_facet | Plattentheorie Schalentheorie Scheibentheorie |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009251879&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
volume_link | (DE-604)BV001902156 |
work_keys_str_mv | AT basaryavuz theoryofshellstructures AT kratzigwilfriedb theoryofshellstructures |