Advances in extended and multifield theories for continua:
Saved in:
| Other Authors: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin ; Heidelberg
Springer
2011
|
| Series: | Lecture notes in applied and computational mechanics
59 |
| Subjects: | |
| Online Access: | Inhaltstext Inhaltsverzeichnis |
| Item Description: | Literaturangaben |
| Physical Description: | XIX, 217 S. Ill., graph. Darst. 24 cm |
| ISBN: | 9783642227370 3642227376 |
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MARC
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Record in the Search Index
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| adam_text |
IMAGE 1
CONTENTS
CONTINUUM THERMODYNAMIC AND RATE VARIATIONAL FORMULATION OF MODELS FOR
EXTENDED CONTINUA 1
BOB SVENDSEN 1 INTRODUCTION 1
2 ENERGY BALANCE AND BASIC CONSTITUTIVE ASSUMPTIONS 3
3 EUCLIDEAN FRAME-INDIFFERENCE OF THE ENERGY BALANCE 5
4 MATERIAL FRAME-INDIFFERENCE OF THE FREE ENERGY DENSITY 7 5 DISSIPATION
PRINCIPLE AND REDUCED EVOLUTION-FIELD RELATIONS 8 6 VARIATIONAL
FORMULATION 10
7 DISCUSSION 13
REFERENCES 15
FROM LATTICE MODELS TO EXTENDED CONTINUA 19
STEFAN DIEBELS, DANIEL SCHARDING 1 INTRODUCTION 19
2 LATTICE MODELS 21
2.1 HONEYCOMB STRUCTURE 21
2.2 EFFECTIVE SHEAR MODULUS 23
2.3 REFERENCE DATA 25
3 EXTENDED CONTINUUM THEORIES 26
3.1 THE LINEAR COSSERAT THEORY 27
3.2 ANALYTICAL SOLUTION FOR SHEAR 28
4 PARAMETER IDENTIFICATION 30
4.1 GRADIENT-BASED METHODS 30
4.2 EVOLUTION STRATEGIES 32
5 CONCLUSIONS AND OUTLOOK 34
REFERENCES 35
APPENDIX 38
BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/1012996271
DIGITALISIERT DURCH
IMAGE 2
XII CONTENTS
ROTATIONAL DEGREES OF FREEDOM IN MODELING MATERIALS WITH INTRINSIC
LENGTH SCALE 47
ELENA PASTERNAK, HANS-BERND MUEHLHAUS, ARCADY V. DYSLCIN 1 INTRODUCTION
47
2 NON-STANDARD CONTINUA FOR MODELING MATERIALS WITH MICROSTRUCTURE 48
3 HOMOGENIZATION OF ID STRUCTURES 52
3.1 HOMOGENIZATION BY DIFFERENTIAL EXPANSION 53
3.2 HOMOGENIZATION BY INTEGRAL TRANSFORMATION (NON-LOCAL COSSERAT
CONTINUUM) 54
3.3 HARMONIC WAVES IN ID STRUCTURES 57
4 HOMOGENIZATION BY DIFFERENTIAL EXPANSIONS IN 3D , . . 58
5 COSSERAT MODEL OF LAYERED MATERIALS WITH SLIDING LAYERS AND STRESS
CONCENTRATIONS 59
6 PATH-INDEPENDENT INTEGRALS IN COSSERAT CONTINUUM 61
7 CONCLUSIONS 64
REFERENCES 65
MICROMORPHIC VS. PHASE-FIELD APPROACHES FOR GRADIENT VISCOPLASTICITY AND
PHASE TRANSFORMATIONS 69
SAMUEL FOREST, KAIS AMMAR, BENOIT APPOLAIRE 1 INTRODUCTION 69
2 THERMOMECHANICS WITH ADDITIONAL DEGREES OF FREEDOM 71 2.1 GENERAL
SETTING 71
2.2 MICROMORPHIC MODEL AS A SPECIAL CASE 73
2.3 PHASE-FIELD MODEL AS A SPECIAL CASE 74
3 CONSTITUTIVE FRAMEWORK FOR GRADIENT AND MICROMORPHIC VISCOPLASTICITY
75
3.1 INTRODUCTION OF VISCOUS GENERALIZED STRESSES 75
3.2 DECOMPOSITION OF THE GENERALIZED STRAIN MEASURES 77 4 PHASE-FIELD
MODELS FOR ELASTOVISCOPLASTIC MATERIALS 78
4.1 COUPLING WITH DIFFUSION 80
4.2 PARTITION OF FREE ENERGY AND DISSIPATION POTENTIAL 81 4.3
MULTI-PHASE APPROACH FOR THE MECHANICAL CONTRIBUTION . . 83 4.4
VOIGT/TAYLOR MODEL COUPLED PHASE-FIELD MECHANICAL THEORY 85
5 CONCLUSION 86
REFERENCES 86
GEOMETRICALLY NONLINEAR CONTINUUM THERMOMECHANICS COUPLED TO DIFFUSION:
A FRAMEWORK FOR CASE II DIFFUSION 89
ANDREW T. MCBRIDE, SWANTJE BARGMANN, PAUL STEINMANN 1 INTRODUCTION 89
2 PRELIMINARIES: NOTATION AND KEY CONCEPTS 91
IMAGE 3
CONTENTS XIII
3 GOVERNING EQUATIONS : 94
3.1 CONSERVATION OF SOLID MASS 94
3.2 CONSERVATION OF DIFFUSING SPECIES MASS 94
3.3 BALANCE OF LINEAR AND ANGULAR MOMENTUM 96
3.4 BALANCE OF INTERNAL ENERGY 96
3.5 BALANCE OF ENTROPY 97
3.6 CONSTITUTIVE RELATIONS 99
3.7 TEMPERATURE EVOLUTION EQUATION 101
4 KEY FEATURES OF THE HELMHOLTZ ENERGY REQUIRED TO REPRODUCE CASE II
DIFFUSION 102
4.1 ENERGY ASSOCIATED WITH VISCOELASTIC EFFECTS 103
4.2 ENERGY ASSOCIATED WITH MIXING 104
5 DISCUSSION AND CONCLUSIONS 104
REFERENCES 106
EFFECTIVE ELECTROMECHANICAL PROPERTIES OF HETEROGENEOUS PIEZOELECTRICS
109
MARC-ANDRE KEIP, JOERG SCHROEDER 1 INTRODUCTION 109
2 BOUNDARY VALUE PROBLEMS ON THE MACRO-AND THE MESOSCALE 112 2.1
MACROSCOPIC ELECTRO-MECHANICALLY COUPLED BVP 112 2.2 MESOSCOPIC
ELECTRO-MECHANICALLY COUPLED BVP 114
3 EFFECTIVE PROPERTIES OF PIEZOELECTRIC MATERIALS 116
4 NUMERICAL EXAMPLE 120
4.1 INVARIANT FORMULATION AND MATERIAL PARAMETERS 121 4.2 INVESTIGATION
OF THE "WOLFGANG EHLERS 60" MESOSTRUCTURE 122
5 CONCLUSION 124
REFERENCES 125
COUPLED THERMO- AND ELECTRODYNAMICS OF MULTIPHASIC CONTINUA 129 BERND
MARKERT 1 MIXTURE AND POROUS MEDIA THEORIES 129
1.1 THE MACROSCOPIC MIXTURE APPROACH 130
1.2 VOLUME FRACTIONS, SATURATION AND DENSITY 130
2 KINEMATICAL RELATIONS 132
2.1 MIXTURE KINEMATICS 132
2.2 DEFORMATION AND STRAIN MEASURES 134
3 SOME ASPECTS OF ELECTRODYNAMICS 138
3.1 PRELIMINARIES 138
3.2 THE MACROSCOPIC MAXWELL EQUATIONS 139
3.3 FUSION OF ELECTRODYNAMICS AND THERMODYNAMICS 141
IMAGE 4
XIV CONTENTS
4 BALANCE RELATIONS 142
4.1 STRESS CONCEPT AND DUAL VARIABLES 142
4.2 MASTER BALANCE PRINCIPLE FOR MIXTURES 144
5 CONCLUSION 150
REFERENCES 151
ICE FORMATION IN POROUS MEDIA 153
JOACHIM BLUHM, TIM RICKEN, MORITZ BLOSSFELD 1 INTRODUCTION 153
2 BASICS 155
3 SIMPLIFIED QUADRUPLE MODEL 157
3.1 FIELD EQUATIONS 157
3.2 CONSTITUTIVE THEORY 158
4 EXAMPLES 166
4.1 EXAMPLE 1: CAPILLARY SUCTION DURING FREEZING 167 4.2 EXAMPLE 2: HEAT
OF FUSION DURING PHASE TRANSITION 170 5 CONCLUSION 171
REFERENCES 172
OPTICAL MEASUREMENTS FOR A COLD-BOX SAND AND ASPECTS OF DIRECT AND
INVERSE PROBLEMS FOR MICROPOLAR ELASTO-PIASTICITY 175
ROLF MAHNKEN, ISMAIL CAYLAK 1 INTRODUCTION 175
2 SPECIMENS AND TESTING EQUIPMENT 178
2.1 MATERIALS AND SPECIMEN PREPARATION 178
2.2 EXPERIMENTAL EQUIPMENT 178
3 UNIAXIAL COMPRESSION AND TENSION TESTS 180
3.1 SD-EFFECT AND OPTICAL MEASUREMENTS 180
3.2 RATE DEPENDENCY AND REPRODUCIBILITY 183
3.3 INFLUENCE OF STORAGE TIME 183
4 THERMO-MECHANICAL CHARACTERIZATION 184
4.1 HEAT EXCHANGER VARIATION FOR THERMAL LOADING 184 4.2 MECHANICAL
LOADING FOR DIFFERENT ISOTHERMAL CONDITIONS 186
5 TRIAXIAL CHARACTERIZATION 187
6 MODELING OF MICROPOLAR CONTINUA 188
6.1 BASIC EQUATIONS 188
6.2 YIELD FUNCTION AND PLASTIC POTENTIAL 189
7 DIRECT AND INVERSE PROBLEMS FOR MICROPOLAR SOLIDS 191
7.1 DIRECT PROBLEM: WEAK FORMULATION 191
7.2 INVERSE PROBLEM: CONSTRAINED LEAST SQUARES PROBLEM 192 8 SUMMARY AND
OUTLOOK 194
REFERENCES 195
IMAGE 5
CONTENTS XV
MODEL REDUCTION FOR COMPLEX CONTINUA - AT THE EXAMPLE OF MODELING SOFT
TISSUE IN THE NASAL AREA 197
ANNIKA RADERMACHER, STEFANIE REESE 1 INDRODUCTION 197
2 MODEL REDUCTION FOR NON-LINEAR STRUCTURAL MECHANICS 200 2.1 SVD-BASED
REDUCTION 200
2.2 ERROR DEFINITION 203
3 BIOMECHANICAL STRUCTURAL APPLICATIONS 203
3.1 EXAMPLES 203
3.2 STUDY OF CONVERGENCE 205
3.3 STUDY OF PARAMETERS 205
3.4 HUMAN NOSE MODEL 213
4 CONCLUSION 215
REFERENCES 215
AUTHOR INDEX 219 |
| any_adam_object | 1 |
| author2 | Markert, Bernd 1971- |
| author2_role | edt |
| author2_variant | b m bm |
| author_GND | (DE-588)131642588 |
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| building | Verbundindex |
| bvnumber | BV040965420 |
| ctrlnum | (OCoLC)748704797 (DE-599)DNB1012996271 |
| dewey-full | 620.1 531 |
| dewey-hundreds | 600 - Technology (Applied sciences) 500 - Natural sciences and mathematics |
| dewey-ones | 620 - Engineering and allied operations 531 - Classical mechanics |
| dewey-raw | 620.1 531 |
| dewey-search | 620.1 531 |
| dewey-sort | 3620.1 |
| dewey-tens | 620 - Engineering and allied operations 530 - Physics |
| discipline | Maschinenbau / Maschinenwesen Physik |
| format | Book |
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| id | DE-604.BV040965420 |
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| indexdate | 2024-09-06T00:26:44Z |
| institution | BVB |
| isbn | 9783642227370 3642227376 |
| language | English |
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| open_access_boolean | |
| owner | DE-29T |
| owner_facet | DE-29T |
| physical | XIX, 217 S. Ill., graph. Darst. 24 cm |
| publishDate | 2011 |
| publishDateSearch | 2011 |
| publishDateSort | 2011 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in applied and computational mechanics |
| series2 | Lecture notes in applied and computational mechanics |
| spelling | Advances in extended and multifield theories for continua Bernd Markert (ed.) Berlin ; Heidelberg Springer 2011 XIX, 217 S. Ill., graph. Darst. 24 cm txt rdacontent n rdamedia nc rdacarrier Lecture notes in applied and computational mechanics 59 Literaturangaben Mehrfeldproblem (DE-588)7544635-2 gnd rswk-swf Kontinuumsmechanik (DE-588)4032296-8 gnd rswk-swf Aufsatzsammlung gnd rswk-swf Kontinuumsmechanik (DE-588)4032296-8 s Mehrfeldproblem (DE-588)7544635-2 s Aufsatzsammlung f DE-604 Markert, Bernd 1971- (DE-588)131642588 edt Erscheint auch als Online-Ausgabe Advances in Extended and Multifield Theories for Continua Lecture notes in applied and computational mechanics 59 (DE-604)BV017110729 59 X:MVB text/html http://deposit.dnb.de/cgi-bin/dokserv?id=3845085&prov=M&dok_var=1&dok_ext=htm Inhaltstext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025943717&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Advances in extended and multifield theories for continua Lecture notes in applied and computational mechanics Mehrfeldproblem (DE-588)7544635-2 gnd Kontinuumsmechanik (DE-588)4032296-8 gnd |
| subject_GND | (DE-588)7544635-2 (DE-588)4032296-8 |
| title | Advances in extended and multifield theories for continua |
| title_auth | Advances in extended and multifield theories for continua |
| title_exact_search | Advances in extended and multifield theories for continua |
| title_full | Advances in extended and multifield theories for continua Bernd Markert (ed.) |
| title_fullStr | Advances in extended and multifield theories for continua Bernd Markert (ed.) |
| title_full_unstemmed | Advances in extended and multifield theories for continua Bernd Markert (ed.) |
| title_short | Advances in extended and multifield theories for continua |
| title_sort | advances in extended and multifield theories for continua |
| topic | Mehrfeldproblem (DE-588)7544635-2 gnd Kontinuumsmechanik (DE-588)4032296-8 gnd |
| topic_facet | Mehrfeldproblem Kontinuumsmechanik Aufsatzsammlung |
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| volume_link | (DE-604)BV017110729 |
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