Holdings: Foundations of micropolar mechanics

Foundations of micropolar mechanics:

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Bibliographic Details
Main Authors:	Eremeyev, Victor A. (Author), Lebedev, Leonid P. 1946- (Author), Altenbach, Holm 1956- (Author)
Format:	Book
Language:	English
Published:	[Berlin] ; Heidelberg [u.a.] Springer 2013
Series:	SpringerBriefs in Applied Sciences and Technology : Continuum Mechanics
Subjects:	Mikropolares Medium Cosserat-Kontinuum
Online Access:	Inhaltstext Inhaltsverzeichnis
Physical Description:	X, 142 S. graph. Darst. 24 cm
ISBN:	9783642283529

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MARC


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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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isbn	9783642283529
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physical	X, 142 S. graph. Darst. 24 cm
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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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