Macro-micro theory on multifield coupling behavior of heterogeneous materials:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Beijing
Higher Education Press
2008
Berlin [u.a.] Springer |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Literaturangaben |
| Beschreibung: | XII, 322 S. graph. Darst. |
| ISBN: | 9783540782599 9783540782582 9787040223507 |
Internformat
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Datensatz im Suchindex
| _version_ | 1804139299975725056 |
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| adam_text | CONTENTS CHAPTER 1 INTRODUCTION 1 1.1 HETEROGENEOUS MATERIALS 1 1.2
MULTIFIELD COUPLING PROPERTIES OF HETEROGENEOUS MATERIALS 3 1.3 OVERVIEW
AND STRUCTURE OF THE BOOK 5 REFERENCES 6 CHAPTER 2 HOMOGENIZATION THEORY
FOR HETEROGENEOUS MATERIALS 7 2.1 MICROSTRUCTURE OF HETEROGENEOUS
MATERIALS 7 2.2 PERIODIC BOUNDAIY CONDITIONS 9 2.2.1 GENERAL
CONSIDERATIONS 9 2.2.2 SYMMETRIE AND PERIODIC BOUNDARY CONDITIONS 10 2.3
IMPLEMENTATION OF PERIODIC BOUNDARY CONDITIONS IN FE ANALYSIS **** 12
2.3.1 MULTI-POINT CONSTRAINTS 13 2.3.2 POLYNOMIAL INTERPOLATIONS 14
2.3.3 SPECIFIED STRAIN STATES 14 2.4 EFFECTIVE FLELDS AND EFFECTIVE
PROPERTIES 15 2.4.1 AVERAGE FIELDS 16 2.4.2 EFFECTIVE PROPERTIES 17
2.4.3 HOMOGENIZATION METHODS 20 2.5 DIRECT HOMOGENIZATION 22 2.6
INDIRECT METHOD 23 2.6.1 SELF-CONSISTENT AND GENERALIZED SELF-CONSISTENT
SCHEINE 24 2.6.2 MORI-TANAKA METHOD 25 2.6.3 SELF-CONSISTENT FEM AND M-T
FEM 27 2.6.4 DIFFERENTIAL METHOD 28 2.7 VARIATIONAL METHOD 30 2.8
TWO-SCALE EXPANSION METHOD 31 BIBLIOGRAFISCHE INFORMATIONEN
HTTP://D-NB.INFO/988161273 DIGITALISIERT DURCH VIII CONTENTS 2.8.1
EXPANSION OF THE DISPLACEMENT FIELD 32 2.8.2 ESTABLISHMENT OF BASIC
EQUATIONS OF ELASTIC MICROSTRUCTURE 33 2.8.3 DETERMINATION OF EFFECTIVE
PROPERTIES OF MATERIAL WITH MICROSTRUCTURE 34 2.8.4 VARIATIONAL FORMS 35
2.8.5 FINITE ELEMENT FORMULATION 37 2.9 AN APPROXIMATE ESTIMATION OF
EFFECTIVE PROPERTIES 38 2.10 FORMULATIONS AND IMPLEMENTATION FOR 2D
PROBLEM 39 2.10.1 FORMULATIONS 39 2.10.2 FE IMPLEMENTATION OF
HOMOGENIZATION METHODS 46 2.11 NUMERICAL RESULTS 47 2.11.1 EFFECTIVE
STIFLHESS OF ISOTROPIC COMPOSITE 49 2.11.2 EFFECTIVE STIFFHESS OF
ANISOTROPIC COMPOSITE 52 2.11.3 MICROSTRUCTURAL DEFORMATION 53
REFERENCES 56 CHAPTER 3 THERMO-ELECTRO-ELASTIC PROBLEMS 59 3.1
INTRODUCTION 59 3.2 LINEAR THEORY OF PIEZOELECTRICITY 61 3.2.1 BASIC
EQUATIONS OF LINEAR PIEZOELECTRICITY 61 3.2.2 TWO-DIMENSIONAL
SIMPLIFICATION 66 3.3 TWO CLASSICAL SOLUTION APPROACHES FOR
PIEZOELECTRICITY * 67 3.3.1 SOLUTION WITH STROH FORMALISM 68 3.3.2
SOLUTION WITH LEKHNITSKII FORMALISM 69 3.3.3 SOME IDENTITIES 73 3.4
LOGARITHMIC SINGULARITY OF CRACK-TIP FIELDS IN HOMOGENEOUS
PIEZOELECTRICITY 75 3.4.1 GENERAL SOLUTION FOR CRACK-TIP FIELDS 75 3.4.2
MODIFIED SOLUTION FOR/? BEING A MULTIPLE ROOT 77 3.4.3 MODIFIED SOLUTION
FOR 7 BEING A MULTIPLE ROOT 77 3.5 TREFFTZ FINITE ELEMENT METHOD FOR
PIEZOELECTRICITY 78 3.5.1 BASIC FIELD EQUATIONS AND BOUNDARY CONDITIONS
79 3.5. CONTENTS IX 3.5.4 ELEMENTAL STIFMESS MATRIX 86 3.5.5 APPLICATION
TO ANTI-PLANE PROBLEM 87 3.5.6 NUMERICAL EXAMPLES 94 3.6 THEORY OF
COUPLED THERMO-PIEZOELECTRICITY 95 3.6.1 BASIC EQUATIONS 95 3.6.2
UNIQUENESS OF THE SOLUTION 97 3.7 SOLUTIONS BY FOURIER TRANSFORM METHOD
99 3.7.1 FOURIER TRANSFORM METHOD AND INDUCED GENERAL SOLUTION * 100
3.7.2 CRACK-TIP SINGULARITY 103 3.7.3 GRIFFITH CRACK IN HOMOGENEOUS
PIEZOELECTRICITY 106 3.8 PENNY-SHAPED CRACKS 111 3.8.1 PROBLEM STATEMENT
AND BASIC EQUATION 112 3.8.2 REDUCTION OF CRACK PROBLEM TO THE SOLUTION
OF A FREDHOLM INTEGRAL EQUATION 115 3.8.3 NUMERICAL ASSESSMENT 126 3.9
PIEZOELECTRIC FIBRE COMPOSITES 128 3.9.1 THEORETICAL MODEL FOR
PIEZOELECTRIC FIBRE PUSH-OUT 128 3.9.2 STRESS TRANSFER IN THE BONDED
INTERFACE 131 3.9.3 FRICTIONAL SLIDING 133 3.9.4 PARTIALLY DEBONDING
MODEL 135 3.9.5 INTERFACIAL DEBONDING CRITERION 139 3.9.6 NUMERICAL
EXAMPLES 141 REFERENCES 144 CHAPTER 4 THERMO-MAGNETO-ELECTRO-ELASTIC
PROBLEMS 149 4.1 INTRODUCTION 149 4.2 BASIC FIELD EQUATIONS FOR
MAGNETO-ELECTRO-ELASTIC SOLIDS 150 4.2.1 BASIC EQUATIONS OF GENERAL
ANISOTROPY 150 4.2.2 EIGHT FORMS OF CONSTITUTIVE EQUATIONS 152 4.2.3
TRANSVERSELY ISOTROPIC SIMPLIFICATION 153 4.2.4 EXTENSION TO INCLUDE
THERMAL EFFECT 154 4.3 VARIATIONAL FORMULATION 155 4.4 GENERAL SOLUTION
FOR 3D TRANSVERSELY ISOTROPIC MAGNETO-ELECTRO-ELASTI CIRCULAR
CYLINDRICAL BONE 211 X CONTENTS 4.5 GREEN S FUENCTION FOR HALF-PLANE AND
BIMATERIAL PROBLEMS 160 4.5.1 PRELIMINARY FORMULATIONS 161 4.5.2 NEW
COORDINATE VARIABLES 162 4.5.3 GREEN S FUENCTION FOR FUELL SPACE 162 4.5.4
GREEN S FUENCTION FOR HALF-SPACE 164 4.5.5 GREEN S FUENCTION FOR A
BIMATERIAL PROBLEM 165 4.5.6 GREEN S FUENCTION FOR AN INCLINED INTERFACE
OR HALF-PLANE BOUNDARY 166 4.6 GREEN S FUENCTION FOR WEDGE PROBLEMS 168
4.6.1 BASIC FORMULATIONS 168 4.6.2 GREEN S FUENCTION FOR A WEDGE OR A
SEMI-INFINITE CRACK 169 4.7 ANTIPLANE SHEAR CRACK IN A
MAGNETO-ELECTRO-ELASTIC LAYER 172 4.7.1 STATEMENT OF THE PROBLEM 172
4.7.2 SOLUTION PROCEDURE 175 REFERENCES 178 CHAPTER 5
THERMO-ELECTRO-CHEMO-MECHANICAL COUPLING 183 5.1 INTRODUCTION 183 5.2
GOVERNING EQUATIONS OF FIELDS 185 5.3 FREE ENERGY AND CONSTITUTIVE LAWS
188 5.4 VARIATIONAL PRINCIPLE 190 5.5 FINITE ELEMENT FORMULATION 193 5.6
CHEMO-MECHANICAL COUPLING 195 5.7 FE PROCEDURE AND NUMERICAL EXAMPLES
199 REFERENCES 203 CHAPTER 6 THERMO-ELECTRO-ELASTIC BONE REMODELLING 207
6.1 INTRODUCTION 207 6.2 THERMO-ELECTRO-ELASTIC INTERNAL BONE
REMODELLING 208 6.2.1 LINEAR THEORY OF THERMO-ELECTRO-ELASTIC BONE 208
6.2.2 ADAPTIVE ELASTIC THEORY 209 6.2.3 ANALYTICAL SOLUTION OF A
HOMOGENEOUS HOLLOW CONTENTS XI 6.2.4 SEMI-ANALYTICAL SOLUTION FOR
INHOMOGENEOUS CYLINDRICAL BONELAYERS 215 6.2.5 INTERNAL SURFACE PRESSURE
INDUCED BY A MEDULLAR PIN 218 6.2.6 NUMERICAL EXAMPLES 221 6.3
THERMO-ELECTRO-ELASTIC SURFACE BONE REMODELLING 227 6.3.1 EQUATION FOR
SURFACE BONE REMODELLING 227 6.3.2 DIFFERENTIAL FIELD EQUATION FOR
SURFACE REMODELLING RATE **** 228 6.3.3 APPROXIMATION FOR SMALL CHANGES
IN RADII 230 6.3.4 ANALYTICAL SOLUTION OF SURFACE REMODELLING 232 6.3.5
APPLICATION OF SEMI-ANALYTICAL SOLUTION TO SURFACE REMODELLING OF
INHOMOGENEOUS BONE 235 6.3.6 SURFACE REMODELLING EQUATION MODIFIED BY AN
INSERTING MEDULLAR PIN 236 6.3.7 NUMERICAL EXAMPLES 238 6.4 EXTENSION TO
THERMO-MAGNETO-ELECTRO-ELASTIC PROBLEM 241 6.4.1 LINEAR THEORY OF
THERMO-MAGNETO-ELECTRO-ELASTIC SOLID 241 6.4.2 SOLUTION FOR INTERNAL
BONE REMODELLING 242 6.4.3 SOLUTION FOR SURFACE BONE REMODELLING 246
REFERENCES 251 CHAPTER 7 EFFECTIVE COUPLING PROPERTIES OF HETEROGENEOUS
MATERIALS 255 7.1 BASIC EQUATIONS FOR MULTIFIELD COUPLING 256 7.2 DIRECT
METHOD *; 259 7.3 INDIRECT METHOD 260 7.4 TWO-SCALE EXPANSION METHOD 264
7.4.1 ASYMPTOTIC EXPANSION OF FIELDS 264 7.4.2 EFFECTIVE COUPLING
PROPERTIES 267 7.5 FE COMPUTATION OF EFFECTIVE COUPLING PROPERTIES 269
7.6 NUMERICAL EXAMPLES 271 7.6.1 PIEZOELECTRIC SOLID WITH VOIDS 272
7.6.2 RIGID INCLUSIONS 273 7.6. XII CONTENTS CHAPTER 8 EFFECTIVE
PROPERTIES OF THERMO-PIEZOELECTRICITY 279 8.1 INTRODUCTION 279 8.2
MICROMECHANICS MODEL OF THERMO-PIEZOELECTRICITY WITH MICROCRACKS 281
8.2.1 BASIC FORMULATION OF TWO-PHASE THERMO-PIEZOELECTRICITY 281 8.2.2
EFFECTIVE CONDUCTIVITY 285 8.2.3 EFFECTIVE ELECTROELASTIC CONSTANTS 292
8.2.4 EFFECTIVE THERMAL EXPANSION AND PYROELECTRIC CONSTANTS 297 8.3
MICROMECHANICS MODEL OF THERMO-PIEZOELECTRICITY WITH MICROVOIDS 298
8.3.1 EFFECTIVE CONDUCTIVITY 299 8.3.2 EFFECTIVE ELECTROELASTIC
CONSTANTS 299 8.3.3 EFFECTIVE CONCENTRATION FACTORS BASED ON VARIOUS
MICROMECHANICS MODEIS 301 8.4 MICROMECHANICS MODEL OF PIEZOELECTRICITY
WITH INCLUSIONS 302 8.4.1 ESHELBY S TENSORS FOR A COMPOSITE WITH AN
ELLIPSOIDAL INCLUSION 302 8.4.2 EFFECTIVE ELASTOELECTRIC MODULI 305
8.4.3 EFFECTIVE THERMAL EXPANSION AND PYROELECTRIC COEFFICIENTS 306 8.5
MICROMECHANICS-BOUNDARY ELEMENT MIXED APPROACH 310 8.5.1 TWO-PHASE BE
FORMULATION 310 8.5.2 ALGORITHMS FOR SELF-CONSISTENT AND MORI-TANAKA
APPROACHES 312 REFERENCES 313 INDEX 317
|
| any_adam_object | 1 |
| author | Qin, Qing-Hua Yang, Qing-Sheng |
| author_GND | (DE-588)137254725 (DE-588)137254733 |
| author_facet | Qin, Qing-Hua Yang, Qing-Sheng |
| author_role | aut aut |
| author_sort | Qin, Qing-Hua |
| author_variant | q h q qhq q s y qsy |
| building | Verbundindex |
| bvnumber | BV035626420 |
| classification_rvk | UQ 8025 ZN 3400 |
| ctrlnum | (OCoLC)515793582 (DE-599)DNB988161273 |
| dewey-full | 620.11 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 620 - Engineering and allied operations |
| dewey-raw | 620.11 |
| dewey-search | 620.11 |
| dewey-sort | 3620.11 |
| dewey-tens | 620 - Engineering and allied operations |
| discipline | Maschinenbau / Maschinenwesen Physik Elektrotechnik / Elektronik / Nachrichtentechnik |
| format | Book |
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| indexdate | 2024-07-09T21:41:53Z |
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| publisher | Higher Education Press Springer |
| record_format | marc |
| spelling | Qin, Qing-Hua Verfasser (DE-588)137254725 aut Macro-micro theory on multifield coupling behavior of heterogeneous materials Qing-Hua Qin ; Qing-Sheng Yang Beijing Higher Education Press 2008 Berlin [u.a.] Springer XII, 322 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Literaturangaben Inhomogeneous materials Micromechanics Heterogenität (DE-588)4201275-2 gnd rswk-swf Werkstoff (DE-588)4065579-9 gnd rswk-swf Homogenisierung Mathematik (DE-588)4403079-4 gnd rswk-swf Mikromechanik (DE-588)4205811-9 gnd rswk-swf Werkstoff (DE-588)4065579-9 s Heterogenität (DE-588)4201275-2 s Mikromechanik (DE-588)4205811-9 s DE-604 Homogenisierung Mathematik (DE-588)4403079-4 s Yang, Qing-Sheng Verfasser (DE-588)137254733 aut DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017681457&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Qin, Qing-Hua Yang, Qing-Sheng Macro-micro theory on multifield coupling behavior of heterogeneous materials Inhomogeneous materials Micromechanics Heterogenität (DE-588)4201275-2 gnd Werkstoff (DE-588)4065579-9 gnd Homogenisierung Mathematik (DE-588)4403079-4 gnd Mikromechanik (DE-588)4205811-9 gnd |
| subject_GND | (DE-588)4201275-2 (DE-588)4065579-9 (DE-588)4403079-4 (DE-588)4205811-9 |
| title | Macro-micro theory on multifield coupling behavior of heterogeneous materials |
| title_auth | Macro-micro theory on multifield coupling behavior of heterogeneous materials |
| title_exact_search | Macro-micro theory on multifield coupling behavior of heterogeneous materials |
| title_full | Macro-micro theory on multifield coupling behavior of heterogeneous materials Qing-Hua Qin ; Qing-Sheng Yang |
| title_fullStr | Macro-micro theory on multifield coupling behavior of heterogeneous materials Qing-Hua Qin ; Qing-Sheng Yang |
| title_full_unstemmed | Macro-micro theory on multifield coupling behavior of heterogeneous materials Qing-Hua Qin ; Qing-Sheng Yang |
| title_short | Macro-micro theory on multifield coupling behavior of heterogeneous materials |
| title_sort | macro micro theory on multifield coupling behavior of heterogeneous materials |
| topic | Inhomogeneous materials Micromechanics Heterogenität (DE-588)4201275-2 gnd Werkstoff (DE-588)4065579-9 gnd Homogenisierung Mathematik (DE-588)4403079-4 gnd Mikromechanik (DE-588)4205811-9 gnd |
| topic_facet | Inhomogeneous materials Micromechanics Heterogenität Werkstoff Homogenisierung Mathematik Mikromechanik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017681457&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT qinqinghua macromicrotheoryonmultifieldcouplingbehaviorofheterogeneousmaterials AT yangqingsheng macromicrotheoryonmultifieldcouplingbehaviorofheterogeneousmaterials |