Inelastic analysis of solids and structures:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
2005
|
| Schriftenreihe: | Computational fluid and solid mechanics
|
| Schlagworte: | |
| Online-Zugang: | Klappentext Inhaltsverzeichnis |
| Beschreibung: | Literaturverz. S. 393 - 405. Hier auch später erschienene, unveränderte Nachdrucke |
| Beschreibung: | XI, 414 S. graph. Darst. |
| ISBN: | 9783540227939 3540227938 |
Internformat
MARC
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| 100 | 1 | |a Kojić, Miloš |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Inelastic analysis of solids and structures |c Miloš Kojić ; Klaus-Jürgen Bathe |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 2005 | |
| 300 | |a XI, 414 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Computational fluid and solid mechanics | |
| 500 | |a Literaturverz. S. 393 - 405. Hier auch später erschienene, unveränderte Nachdrucke | ||
| 650 | 7 | |a Dinâmica das estruturas |2 larpcal | |
| 650 | 7 | |a Elasticidade das estruturas |2 larpcal | |
| 650 | 4 | |a Plastic analysis (Engineering) | |
| 650 | 4 | |a Structural dynamics | |
| 650 | 0 | 7 | |a Finite-Elemente-Methode |0 (DE-588)4017233-8 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Inelastische Deformation |0 (DE-588)4409784-0 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Inelastische Deformation |0 (DE-588)4409784-0 |D s |
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| 700 | 1 | |a Bathe, Klaus-Jürgen |e Verfasser |4 aut | |
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| 999 | |a oai:aleph.bib-bvb.de:BVB01-013020793 | ||
Datensatz im Suchindex
| _version_ | 1804133139515179008 |
|---|---|
| adam_text | This book presents computational procedures for the stress integration
of inelastic constitutive relations within the incremental-iterative
finite element analysis and general strain-driven problems of solids
and structures. The book gives the physical and theoretical founda¬
tions of inelastic material models commonly used in engineering
practice, and focuses on the formulation of robust, efficient and
accurate computational algorithms for the response solution of 2-D
and
3-D
solids, shells, and beam and pipe structures. The algorithms
are based on the concept that the implicit stress integration can fre¬
quently be reduced to the solution of a single nonlinear equation
(an equation for a governing parameter). Many solved engineering
examples illustrate the effectiveness of the computational procedures
and elucidate inelastic material behavior. The computational schemes
can be used for further developments of stress integration algorithms
in topics of inelastic material modeling not included in the book.
MILOS KOJIC YY KLAUS-JIIRGEN BATHE
INELASTIC ANALYSIS O
F
SOLIDS AN
D STRUCTURES
WITH 136 FIGURES AN
D 33 TABLES
YQ.
SPRINGE
R
TABLE OF CONTENT
S
PREFACE
III
1. INTRODUCTIO
N
1
1.1 THE OBJECTIVES OF THIS BOOK 1
1.2 SOME REMARKS ON EXPLICIT AND IMPLICIT SOLUTIONS OF NONLIN
EAR RESPONSE 2
1.3 THE TOPIC OF THIS BOOK IN AN OVERALL CONTEXT 5
2. AN INTRODUCTIO
N T
O TH
E INCREMENTAL-ITERATIV
E SOLUTIO
N O
F
NONLINEA
R STRUCTURA
L PROBLEM
S
13
2.1 SOME SOLUTION PROCEDURES FOR NONLINEAR EQUATIONS 13
2.1.1 SOME SOLUTION PROCEDURES FOR ONE NONLINEAR EQUATION 13
2.1.2 NEWTON METHOD FOR A SYSTEM OF NONLINEAR EQUATIONS . 18
2.2 NONLINEAR STRUCTURAL PROBLEMS AND INCREMENTAL-ITERATIVE EQUI
LIBRIUM EQUATIONS 19
2.2.1 A SIMPLE EXAMPLE T
O EXEMPLIFY NONLINEAR ANALYSIS .
. 20
2.2.2 MULTIPLE-DEGREE-OF-FREEDOM SYSTEM 23
2.3 A LINEARIZED FORM OF THE PRINCIPLE OF VIRTUAL WORK. UP
DATED LAGRANGIAN FORMULATION AND FINITE ELEMENT EQUILIB
RIUM EQUATIONS 26
2.3.1 GENERAL CONSIDERATIONS 27
2.3.2 ISOPARAMETRIC CONTINUUM FINITE ELEMENTS 30
3. FUNDAMENTA
L NOTION
S OF META
L PLASTICIT
Y
37
3.1 INTRODUCTION 37
3.2 ISOTROPIC PLASTICITY 38
3.2.1 UNIAXIAL ELASTIC-PLASTIC DEFORMATION 39
3.2.2 YIELD CONDITION FOR GENERAL THREE-DIMENSIONAL DEFOR
MATIONS 44
3.2.3 THREE-DIMENSIONAL STRESS-PLASTIC STRAIN RELATIONS ...
. 48
3.2.4 HARDENING IN 3-D 53
3.2.5 THE VON MISES MATERIAL MODEL WITH MIXED HARDENING. 63
3.2.6 PRINCIPLE OF MAXIMUM PLASTIC DISSIPATION 71
3.2.7 EXAMPLES
.. .
74
3.3 ORTHOTROPIC PLASTICITY 84
X CONTENTS
3.3.1 HILL S ORTHOTROPIC MATERIAL MODEL 85
3.3.2 ORTHOTROPIC MODELS FOR SHEET METALS 89
3.3.3 EXAMPLES : 100
4. A GENERAL PROCEDUR
E FOR STRESS INTEGRATIO
N AND APPLICA
TION
S IN META
L PLASTICIT
Y
105
4.1 INTRODUCTION 105
4.2 THE GOVERNING PARAMETER METHOD 108
4.2.1 FORMULATION OF THE GOVERNING PARAMETER METHOD 108
4.2.2 TIME INDEPENDENT PLASTICITY MODELS IL
L
4.3 A BRIEF REVIEW OF STRESS INTEGRATION PROCEDURES 121
4.4 STRESS INTEGRATION FOR THE VON MISES MATERIAL MODEL 128
4.4.1 GENERAL THREE-DIMENSIONAL CONDITIONS, PLANE STRAIN
AND AXISYMMETRY 129
4.4.2 SHELL CONDITIONS AND PLANE STRESS 138
4.4.3 ELASTIC-PLASTIC MATRIX 141
4.4.4 ACCURACY CONSIDERATIONS 147
4.5 EXAMPLES 151
4.6 ORTHOTROPIC MATERIAL MODEL - STRESS INTEGRATION 188
4.6.1 STRESS INTEGRATION 188
4.6.2 ELASTIC-PLASTIC MATRIX 193
4.6.3 EXAMPLES 194
5. CREEP AND VISCOPLASTICIT
Y
201
5.1 INTRODUCTION 201
5.2 CREEP AND THERMOPLASTIC MATERIAL MODELS YY 202
5.2.1 UNIAXIAL CREEP 203
5.2.2 MULTIAXIAL CREEP MODEL 213
5.2.3 THERMOPLASTICITY AND CREEP 216
5.3 VISCOPLASTIC MATERIAL MODELS 217
5.3.1 ONE-DIMENSIONAL MODEL 217
5.3.2 GENERAL THREE-DIMENSIONAL VISCOPLASTIC MODELS 220
5.4 STRESS INTEGRATION FOR CREEP AND THERMOPLASTIC MODELS 223
5.4.1 GENERAL THREE-DIMENSIONAL DEFORMATIONS 223
5.4.2 SHELL (PLANE STRESS) CONDITIONS . 229
5.4.3 ELASTIC-PLASTIC-CREEP CONSTITUTIVE MATRIX .
. -. 231
5.4.4 EXAMPLES 232
5.5 STRESS INTEGRATION FOR VISCOPLASTIC MODELS 247
5.5.1 GENERAL CONSIDERATIONS 247
5.5.2 THE GOVERNING PARAMETER METHOD FOR STRESS INTEGRA
TION IN VISCOPLASTICITY 249
5.5.3 ISOTROPIC METAL 249
5.5.4 EXAMPLES 257
CONTENTS XI
6. PLASTICIT
Y OF GEOLOGICA
L MATERIAL
S
263
6.1 INTRODUCTION T
O THE MECHANICAL RESPONSE OF GEOMATERIALS.
. . . 263
6.1.1 BASIC NOTIONS IN GEOMECHANICS 264
6.1.2 MECHANICAL PROPERTIES OF GEOLOGICAL MATERIALS 268
6.1.3 SHORT HISTORICAL REVIEW OF SOIL PLASTICITY 279
6.2 CAP MODELS 280
6.2.1 DESCRIPTION OF CAP MODELS 280
6.2.2 STRESS INTEGRATION PROCEDURE 285
6.2.3 ELASTIC-PLASTIC MATRICES 290
6.2.4 EXAMPLES 295
6.3 CAM-CLAY MODEL 300
6.3.1 FORMULATION OF THE MODEL 300
6.3.2 STRESS INTEGRATION PROCEDURE 305
6.3.3 ELASTIC-PLASTIC MATRICES 309
6.3.4 EXAMPLES 311
6.4 A GENERAL SOIL PLASTICITY MODEL 313
6.4.1 FORMULATION OF THE MODEL 314
6.4.2 STRESS INTEGRATION 316
6.4.3 ELASTIC-PLASTIC MATRIX 317
6.4.4 EXAMPLE 318
7. LARGE STRAI
N ELASTIC-PLASTI
C ANALYSI
S
321
7.1 INTRODUCTION , 321
7.2 BASIC NOTIONS IN THE KINEMATICS OF LARGE STRAIN DEFORMA
TIONS
323
7.2.1 EXAMPLES
.
. 341
7.3 STRESS INTEGRATION IN ISOTROPIC PLASTICITY USING THE LOGARITH
MIC STRAINS 349
7.3.1 INTRODUCTION 349
7.3.2 STRESS INTEGRATION IN LARGE STRAIN PLASTICITY 353
7.3.3 EXAMPLES 359
APPENDIX A
L
A SUMMARY OF ELASTI
C AND THERMOELASTI
C CONSTITUTIV
E RE
-
LATIONS
367
APPENDIX A2
NOTATIO
N - MATRICE
S AND TENSORS 381
APPENDIX A
3
LIST OF MAI
N SYMBOL
S
389
REFERENCES
393
INDEX
.
407
|
| any_adam_object | 1 |
| author | Kojić, Miloš Bathe, Klaus-Jürgen |
| author_facet | Kojić, Miloš Bathe, Klaus-Jürgen |
| author_role | aut aut |
| author_sort | Kojić, Miloš |
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| building | Verbundindex |
| bvnumber | BV019693035 |
| callnumber-first | T - Technology |
| callnumber-label | TA652 |
| callnumber-raw | TA652 |
| callnumber-search | TA652 |
| callnumber-sort | TA 3652 |
| callnumber-subject | TA - General and Civil Engineering |
| classification_rvk | UF 3100 |
| ctrlnum | (OCoLC)56878864 (DE-599)BVBBV019693035 |
| dewey-full | 531.382 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 531 - Classical mechanics |
| dewey-raw | 531.382 |
| dewey-search | 531.382 |
| dewey-sort | 3531.382 |
| dewey-tens | 530 - Physics |
| discipline | Maschinenbau / Maschinenwesen Physik |
| format | Book |
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| illustrated | Illustrated |
| indexdate | 2024-07-09T20:03:58Z |
| institution | BVB |
| isbn | 9783540227939 3540227938 |
| language | English |
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| physical | XI, 414 S. graph. Darst. |
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| series2 | Computational fluid and solid mechanics |
| spelling | Kojić, Miloš Verfasser aut Inelastic analysis of solids and structures Miloš Kojić ; Klaus-Jürgen Bathe Berlin [u.a.] Springer 2005 XI, 414 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Computational fluid and solid mechanics Literaturverz. S. 393 - 405. Hier auch später erschienene, unveränderte Nachdrucke Dinâmica das estruturas larpcal Elasticidade das estruturas larpcal Plastic analysis (Engineering) Structural dynamics Finite-Elemente-Methode (DE-588)4017233-8 gnd rswk-swf Inelastische Deformation (DE-588)4409784-0 gnd rswk-swf Inelastische Deformation (DE-588)4409784-0 s Finite-Elemente-Methode (DE-588)4017233-8 s DE-604 Bathe, Klaus-Jürgen Verfasser aut Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=013020793&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Klappentext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=013020793&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Kojić, Miloš Bathe, Klaus-Jürgen Inelastic analysis of solids and structures Dinâmica das estruturas larpcal Elasticidade das estruturas larpcal Plastic analysis (Engineering) Structural dynamics Finite-Elemente-Methode (DE-588)4017233-8 gnd Inelastische Deformation (DE-588)4409784-0 gnd |
| subject_GND | (DE-588)4017233-8 (DE-588)4409784-0 |
| title | Inelastic analysis of solids and structures |
| title_auth | Inelastic analysis of solids and structures |
| title_exact_search | Inelastic analysis of solids and structures |
| title_full | Inelastic analysis of solids and structures Miloš Kojić ; Klaus-Jürgen Bathe |
| title_fullStr | Inelastic analysis of solids and structures Miloš Kojić ; Klaus-Jürgen Bathe |
| title_full_unstemmed | Inelastic analysis of solids and structures Miloš Kojić ; Klaus-Jürgen Bathe |
| title_short | Inelastic analysis of solids and structures |
| title_sort | inelastic analysis of solids and structures |
| topic | Dinâmica das estruturas larpcal Elasticidade das estruturas larpcal Plastic analysis (Engineering) Structural dynamics Finite-Elemente-Methode (DE-588)4017233-8 gnd Inelastische Deformation (DE-588)4409784-0 gnd |
| topic_facet | Dinâmica das estruturas Elasticidade das estruturas Plastic analysis (Engineering) Structural dynamics Finite-Elemente-Methode Inelastische Deformation |
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