Lecture notes in engineering: introduction to linearized elasticity
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Berlin ; Boston
De Gruyter
2024
|
| Ausgabe: | 1. Auflage |
| Schriftenreihe: | De Gruyter Graduate
|
| Schlagwörter: | |
| Links: | https://www.degruyter.com/isbn/9783110789423 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=034618101&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Umfang: | XIV, 238 Seiten Diagramme 24 cm x 17 cm |
| ISBN: | 3110789426 9783110789423 |
Internformat
MARC
| LEADER | 00000nam a22000008c 4500 | ||
|---|---|---|---|
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| 024 | 3 | |a 9783110789423 | |
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| 100 | 1 | |a Rajagopal, K. R. |e Verfasser |0 (DE-588)114750807 |4 aut | |
| 245 | 1 | 0 | |a Lecture notes in engineering |b introduction to linearized elasticity |c Kumbakonam Rajagopal |
| 250 | |a 1. Auflage | ||
| 264 | 1 | |a Berlin ; Boston |b De Gruyter |c 2024 | |
| 264 | 4 | |c © 2024 | |
| 300 | |a XIV, 238 Seiten |b Diagramme |c 24 cm x 17 cm | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a De Gruyter Graduate | |
| 650 | 0 | 7 | |a Lineare Elastizitätstheorie |0 (DE-588)4139506-2 |2 gnd |9 rswk-swf |
| 653 | |a Elasticity | ||
| 653 | |a Material Engineering | ||
| 653 | |a Mechanical Engineering | ||
| 653 | |a Non-linear Elasticity | ||
| 653 | |a TB: Textbook | ||
| 653 | |a Viscoelastic Materials | ||
| 689 | 0 | 0 | |a Lineare Elastizitätstheorie |0 (DE-588)4139506-2 |D s |
| 689 | 0 | |5 DE-604 | |
| 710 | 2 | |a Walter de Gruyter GmbH & Co. KG |0 (DE-588)10095502-2 |4 pbl | |
| 776 | 0 | 8 | |i Erscheint auch als |n Online-Ausgabe, PDF |z 978-3-11-078951-5 |
| 776 | 0 | 8 | |i Erscheint auch als |n Online-Ausgabe, EPUB |z 978-3-11-078963-8 |
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| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-034618101 | |
Datensatz im Suchindex
| _version_ | 1819371903901499392 |
|---|---|
| adam_text | CONTENTS
PREFACE
-
V
NOMENCLATURE
-
XIII
1
1.1
INTRODUCTION
-
1
INTRODUCTORY
REMARKS
-
1
REFERENCES
FOR
THE
INTRODUCTION
-
8
1.2
PRELIMINARY
REMARKS
-
10
REFERENCES
FOR
PRELIMINARIES
-
11
1.3
ROLE
OF
CAUSALITY
-
11
REFERENCES
-
14
2
2.1
2.2
2.3
2.4
2.5
2.6
2.7
2.8
2.9
2.10
2.11
2.12
2.13
2.14
2.15
2.16
2.17
2.18
KINEMATICS
-
15
BODY
-
15
LAGRANGIAN
AND
EULERIAN
DESCRIPTIONS
OF
KINEMATICAL
QUANTITIES
-
17
DISPLACEMENT
AND
DISPLACEMENT
GRADIENT
-
18
DEFORMATION
GRADIENT
-
18
VELOCITY
-
22
VELOCITY
GRADIENT
-
23
ACCELERATION
-
23
POLAR
DECOMPOSITION
THEOREM
-
23
GREEN-ST.
VENANT
STRAIN
-
26
ALMANSI-HAMEL
STRAIN
-
27
PROBLEMS
-
28
STRETCH
ALONG
A
PARTICULAR
DIRECTION
-
28
SHEAR
-
29
SIMPLE
SHEAR
-
31
AXIAL
STRAIN
-
32
LINEARIZATION
OF
THE
NON-LINEAR
STRAIN
-
34
RIGID
MOTION
-
36
PROBLEMS
-
36
REFERENCES
-
37
3
3.1
COMPATIBILITY
OF
THE
LINEARIZED
STRAIN
-
38
UNIQUENESS
OF
THE
DISPLACEMENT
FIELD
TO
WITHIN
RIGID
BODY
MOTION
FOR
A
GIVEN
LINEARIZED
STRAIN
-
38
3.2
NECESSARY
AND
SUFFICIENT
CONDITIONS
FOR
COMPATIBILITY
-
39
REFERENCES
-
50
X
-
YY
CONTENTS
4
FRAMES,
CHANGES
OF
FRAMES,
FRAME
INDIFFERENCE
-
51
REFERENCES
-
55
5
5.1
5.2
5.2.1
5.2.2
5.2.3
5.2.4
5.2.5
5.3
ELASTIC
BODIES
-
56
CAUCHY
ELASTIC
BODY
-
56
GREEN
ELASTIC
BODY
-
59
STRAIN
ENERGY
-
59
MECHANICAL
WORKING
(TIME
RATE
AT
WHICH
WORK
IS
DONE)
-
60
POWER
THEOREM
-
60
WORK
OF
DEFORMATION
-
61
WORK
POSTULATE
(AND
ITS
LINEARIZATION)
-
65
PROBLEMS
-
70
REFERENCES
-
70
6
6.1
6.2
6.3
6.4
6.4.1
6.4.2
6.4.3
6.5
MATERIAL
SYMMETRY
FOR
ELASTIC
BODIES
-
71
DEFINITION
OF
MATERIAL
SYMMETRY
FOR
AN
ELASTIC
BODY
-
72
ISOTROPIC
SOLID
-
72
LINEARIZATION
OF
THE
ISOTROPY
CONDITION
-
73
RESPONSE
OF
LINEARIZED
ANISOTROPIC
ELASTIC
BODIES
-
75
ONE
PLANE
OF
MATERIAL
SYMMETRY
-
76
ORTHOTROPIC
ELASTIC
BODY
-
76
TRANSVERSE
ISOTROPY
-
77
PROBLEMS
-
78
REFERENCES
-
78
7
7.1
7.2
7.3
7.4
ELASTO-STATICS
-
80
ANTI-PLANE
STRAIN
-
80
PLANE
STRAIN
-
82
PLANE
STRESS
-
85
GENERALIZED
PLANE
STRESS
-
87
8
8.1
8.2
8.2.1
8.3
STRESS
FUNCTIONS
-
90
AIRY
S
STRESS
FUNCTION
-
90
WESTERGAARD
POTENTIAL
-
91
PROBLEMS
USING
THE
WESTERGAARD
POTENTIAL
-
94
PROBLEMS
-
103
REFERENCES
-
103
9
9.1
9.2
AXI-SYMMETRIC
PROBLEMS
-
104
THREE-DIMENSIONAL
STRESS
FUNCTIONS
-
110
PROBLEMS
-
113
CONTENTS
-
XI
10
10.1
10.1.1
10.2
10.3
10.4
10.5
10.6
TORSION
OF
PRISMATIC
CYLINDERS
-
115
SEMI-INVERSE
SOLUTION
-
115
BOUNDARY
CONDITIONS
-
117
TORSION
OF
AN
ELLIPTIC
SHAFT
-
120
TORSION
OF
A
CYLINDER
WITH
RECTANGULAR
CROSS-SECTION
-
121
TORSION
OF
MULTIPLY
CONNECTED
DOMAINS
-
124
THE
TORSION
MEMBRANE
ANALOGY
-
126
PROBLEMS
-
128
REFERENCES
-
129
11
11.1
11.2
11.3
PROBLEMS
IN
CYLINDRICAL
POLAR
COORDINATES
-
130
EQUILIBRIUM
EQUATIONS
IN
CYLINDRICAL
POLAR
COORDINATES
-
134
STRESS
FUNCTION
IN
POLAR
COORDINATES
-
136
TORSION
OF
CIRCULAR
SHAFTS
OF
VARIABLE
DIAMETER
-
137
REFERENCES
-
142
12
12.1
12.2
12.3
12.4
12.4.1
12.4.2
12.5
12.5.1
12.5.2
12.6
STRESS
CONCENTRATION
-
143
CIRCULAR
HOLE
IN
AN
INFINITE
PLATE-UNIAXIAL
LOADING
-
143
CIRCULAR
HOLE
IN
AN
INFINITE
PLATE-BIAXIAL
LOADING
-
148
RIGID
CIRCULAR
INCLUSION
-
149
STATE
OF
STRESS
AND
STRAIN
DUE
TO
AN
ELLIPTIC
HOLE
IN
A
PLANE
-
153
TRANSFORMATION
OF
STRESS
IN
ELLIPTIC
COORDINATES
-
155
ANALYSIS
IN
THE
VICINITY
OF
A
CRACK
TIP
-
159
STRESSES
AROUND
CRACKS
-
161
ANTI-PLANE
STRAIN:
MODE
III
LOADING
-
161
PLANE
STRAIN
OR
PLANE
STRESS
-
166
PROBLEMS
-
170
13
13.1
13.1.1
13.1.2
13.1.3
13.2
13.3
13.4
13.4.1
13.5
13.6
CONCENTRATED
LOADS
-
171
SOME
GENERAL
REMARKS
-
172
BOUSSINESQ-PAPKOVITCH-NEUBER
SOLUTION
-
172
COMPLETENESS
OF
THE
BOUSSINESQ-PAPLOVITCH-NEUBER
SOLUTOIN
-
172
SOLUTION
FOR
SUFFICIENTLY
SMOOTH
BODY
FORCE
-
172
CONCENTRATED
FORCE
-
173
DOUBLET
-
182
COUPLETS
-
183
ALTERNATE
ARRANGEMENT
-
183
CENTER
OF
DILATATION
-
183
PROBLEMS
-
184
REFERENCES
-
185
XII
-
CONTENTS
14
COMPLEX
VARIABLE
METHODS
-
186
14.1
MUSKHELISHVILI
S
TECHNIQUE
-
186
REFERENCES
-
197
15
APPROXIMATIONS
-
198
15.1
ELEMENTARY
BEAM
THEORY
-
198
16
ELASTODYNAMICS
-
203
REFERENCES
-
207
17
NONSTANDARD
APPROACH
TO
ELASTICITY
-
208
17.1
IMPLICIT
THEORIES
FOR
ELASTICITY
AND
THEIR
LINEARIZATION
-
208
REFERENCES
-
214
A
FINITE
DIMENSIONAL
VECTOR
SPACES
-
217
A.1
SUBSPACES
AND
AFFINE
SPACES
-
218
A.2
GRAM-SCHMIDT
PROCEDURE
-
219
A.3
EUCLIDEAN
SPACE,
DISTANCE
AND
INEQUALITIES
-
219
A.4
VECTOR
PRODUCT
-
220
A.5
THE
SCALAR
TRIPLE
PRODUCT
-
220
A.6
LINEAR
TRANSFORMATIONS
-
220
A.7
EXISTENCE
OF
LINEAR
TRANSFORMATIONS
-
221
REFERENCES
-
221
B
TENSOR
ANALYSIS
-
223
B.1
REPRESENTATION
THEOREM
-
223
B.2
MATRIX
ALGEBRA
-
223
B.3
DETERMINANT
-
224
B.4
INDICIAL
NOTATION
AND
SUMMATION
CONVENTION
-
226
B.5
CRAMER
S
RULE
-
227
B.6
TRANSPOSE
-
229
B.7
RANGE
-
229
B.8
INVERSE
-
231
B.9
RANK
-----
232
B.10
EIGENVALUES
-
232
B.11
GEOMETRIC
MULTIPLICITY
OF
AN
EIGEN
VALUE
-
233
B.12
ALGEBRAIC
MULTIPLICITY
OF
EIGEN
VALUES
-
233
REFERENCES
-
235
INDEX
-
237
|
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| author | Rajagopal, K. R. |
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| id | DE-604.BV049357908 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T20:07:30Z |
| institution | BVB |
| institution_GND | (DE-588)10095502-2 |
| isbn | 3110789426 9783110789423 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-034618101 |
| oclc_num | 1410707802 |
| open_access_boolean | |
| owner | DE-29T |
| owner_facet | DE-29T |
| physical | XIV, 238 Seiten Diagramme 24 cm x 17 cm |
| publishDate | 2024 |
| publishDateSearch | 2024 |
| publishDateSort | 2024 |
| publisher | De Gruyter |
| record_format | marc |
| series2 | De Gruyter Graduate |
| spellingShingle | Rajagopal, K. R. Lecture notes in engineering introduction to linearized elasticity Lineare Elastizitätstheorie (DE-588)4139506-2 gnd |
| subject_GND | (DE-588)4139506-2 |
| title | Lecture notes in engineering introduction to linearized elasticity |
| title_auth | Lecture notes in engineering introduction to linearized elasticity |
| title_exact_search | Lecture notes in engineering introduction to linearized elasticity |
| title_full | Lecture notes in engineering introduction to linearized elasticity Kumbakonam Rajagopal |
| title_fullStr | Lecture notes in engineering introduction to linearized elasticity Kumbakonam Rajagopal |
| title_full_unstemmed | Lecture notes in engineering introduction to linearized elasticity Kumbakonam Rajagopal |
| title_short | Lecture notes in engineering |
| title_sort | lecture notes in engineering introduction to linearized elasticity |
| title_sub | introduction to linearized elasticity |
| topic | Lineare Elastizitätstheorie (DE-588)4139506-2 gnd |
| topic_facet | Lineare Elastizitätstheorie |
| url | https://www.degruyter.com/isbn/9783110789423 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=034618101&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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