Foundations of micropolar mechanics:
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
[Berlin] ; Heidelberg [u.a.]
Springer
2013
|
| Schriftenreihe: | SpringerBriefs in Applied Sciences and Technology : Continuum Mechanics
|
| Schlagworte: | |
| Online-Zugang: | Inhaltstext Inhaltsverzeichnis |
| Beschreibung: | X, 142 S. graph. Darst. 24 cm |
| ISBN: | 9783642283529 |
Internformat
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Datensatz im Suchindex
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| adam_text |
IMAGE 1
CONTENTS
1 INTRODUCTION 1
REFERENCES 4
2 KINEMATICS O F MICROPOLAR CONTINUUM 11
REFERENCES 13
3 FORCES AND COUPLES, STRESS AND COUPLE STRESS TENSORS IN MICROPOLAR
CONTINUA 15
3.1 FORCES AND COUPLES 15
3.2 EULER'S LAWS O F MOTION 16
3.3 STRESS TENSOR AND COUPLE STRESS TENSOR 18
3.4 PRINCIPAL STRESSES IN MICROPOLAR CONTINUA 27
3.5 EQUATIONS OF MOTION 3 0
3.6 BOUNDARY-VALUE PROBLEMS 31
REFERENCES 33
4 CONSTITUTIVE EQUATIONS 35
4.1 GENERAL PRINCIPLES RESTRICTING THE CONSTITUTIVE EQUATIONS 35
4.2 NATURAL LAGRANGIAN STRAIN MEASURES COSSERAT CONTINUUM 38
4.2.1 STRAIN MEASURES BY GEOMETRICAL APPROACH 38
4.2.2 PRINCIPLE O F VIRTUAL WORK AND WORK-CONJUGATE STRAIN MEASURES 41
4.2.3 INVARIANCE OF THE POLAR-ELASTIC STRAIN ENERGY-DENSITY 42
4.2.4 VECTORIAL PARAMETERIZATIONS O F STRAIN MEASURES 43
4.3 KINETIC CONSTITUTIVE EQUATIONS 4 5
4.4 MATERIAL SYMMETRY GROUP 4 6
4.5 NON-LINEAR MICROPOLAR ISOTROPIC SOLIDS 50
4.6 PHYSICALLY LINEAR MICROPOLAR SOLID 52
4.7 LINEAR MICROPOLAR ISOTROPIC SOLIDS 53
I X
HTTP://D-NB.INFO/1019143347
IMAGE 2
X C O N T E N T S
4.8 CONSTRAINTS 54
4.9 CONSTITUTIVE INEQUALITIES 57
4.9.1 CONSTITUTIVE RESTRICTIONS IN LINEAR MICROPOLAR ELASTICITY 57
4.9.2 COLEMAN-NOLL INEQUALITY FOR MICROPOLAR CONTINUUM . . . 57 4.9.3
STRONG ELLIPTICITY AND HADAMARD INEQUALITY 58
4.9.4 ORDINARY ELLIPTICITY 62
4.10 MICROPOLAR FLUID 63
4.11 SOME SOURCES O F CONSTITUTIVE EQUATIONS FOR MICROPOLAR MATERIALS 6
4
REFERENCES 6 6
5 STRONG ELLIPTICITY AND ACCELERATION WAVES IN MICROPOLAR CONTINUUM 71
5.1 THERMOCONDUCTIVITY EQUATION IN THE MICROPOLAR CONTINUUM . . . 72 5.2
ACCELERATION WAVES 72
5.3 HOMOTHERMAL ACCELERATION WAVES 74
5.3.1 TRANSFORMATION O F THE DYNAMIC EQUATIONS 7 4
5.3.2 TRANSFORMATION O F THE HEAT CONDUCTIVITY EQUATION . . . . 75
5.4 HOMOCALORIC (HOMENTROPIC) ACCELERATION WAVES 77
5.5 EXISTENCE O F ACCELERATION WAVES 78
5.6 EXAMPLE 79
REFERENCES 80
APPENDIX A: ELEMENTS OF TENSOR ANALYSIS 83
APPENDIX B: ELEMENTS O F RIGID BODY DYNAMICS 107
APPENDIX C: ELEMENTS O F MECHANICS O F ELASTIC RODS 113
APPENDIX D: MICROPOLAR PLATES AND SHELLS AS TWO-DIMENSIONAL COSSERAT
CONTINUA 119
INDEX 139 |
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| author | Eremeyev, Victor A. Lebedev, Leonid P. 1946- Altenbach, Holm 1956- |
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| dewey-ones | 531 - Classical mechanics |
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| dewey-tens | 530 - Physics |
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| indexdate | 2024-08-21T00:18:04Z |
| institution | BVB |
| isbn | 9783642283529 |
| language | English |
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| publisher | Springer |
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| series2 | SpringerBriefs in Applied Sciences and Technology : Continuum Mechanics |
| spelling | Eremeyev, Victor A. Verfasser aut Foundations of micropolar mechanics Victor A. Eremeyev ; Leonid P. Lebedev ; Holm Altenbach [Berlin] ; Heidelberg [u.a.] Springer 2013 X, 142 S. graph. Darst. 24 cm txt rdacontent n rdamedia nc rdacarrier SpringerBriefs in Applied Sciences and Technology : Continuum Mechanics Mikropolares Medium (DE-588)4584125-1 gnd rswk-swf Cosserat-Kontinuum (DE-588)4132732-9 gnd rswk-swf Cosserat-Kontinuum (DE-588)4132732-9 s Mikropolares Medium (DE-588)4584125-1 s DE-604 Lebedev, Leonid P. 1946- Verfasser (DE-588)124355560 aut Altenbach, Holm 1956- Verfasser (DE-588)121656837 aut text/html http://deposit.dnb.de/cgi-bin/dokserv?id=3966115&prov=M&dok%5Fvar=1&dok%5Fext=htm Inhaltstext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025366633&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Eremeyev, Victor A. Lebedev, Leonid P. 1946- Altenbach, Holm 1956- Foundations of micropolar mechanics Mikropolares Medium (DE-588)4584125-1 gnd Cosserat-Kontinuum (DE-588)4132732-9 gnd |
| subject_GND | (DE-588)4584125-1 (DE-588)4132732-9 |
| title | Foundations of micropolar mechanics |
| title_auth | Foundations of micropolar mechanics |
| title_exact_search | Foundations of micropolar mechanics |
| title_full | Foundations of micropolar mechanics Victor A. Eremeyev ; Leonid P. Lebedev ; Holm Altenbach |
| title_fullStr | Foundations of micropolar mechanics Victor A. Eremeyev ; Leonid P. Lebedev ; Holm Altenbach |
| title_full_unstemmed | Foundations of micropolar mechanics Victor A. Eremeyev ; Leonid P. Lebedev ; Holm Altenbach |
| title_short | Foundations of micropolar mechanics |
| title_sort | foundations of micropolar mechanics |
| topic | Mikropolares Medium (DE-588)4584125-1 gnd Cosserat-Kontinuum (DE-588)4132732-9 gnd |
| topic_facet | Mikropolares Medium Cosserat-Kontinuum |
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