Introduction to micromechanics and nanomechanics:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Singapore [u.a.]
World Scientific
2008
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Includes bibliographical references and indexes |
| Beschreibung: | XIV, 500 S. Ill., graph. Darst. |
| ISBN: | 9789812814135 9812814132 9789812814142 9812814140 |
Internformat
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| 100 | 1 | |a Li, Shaofan |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Introduction to micromechanics and nanomechanics |c Shaofan Li ; Gang Wang |
| 264 | 1 | |a Singapore [u.a.] |b World Scientific |c 2008 | |
| 300 | |a XIV, 500 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 500 | |a Includes bibliographical references and indexes | ||
| 650 | 7 | |a Nanotecnologia |2 larpcal | |
| 650 | 4 | |a Micromechanics |v Textbooks | |
| 650 | 4 | |a Nanotechnology |v Textbooks | |
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| 650 | 0 | 7 | |a Nanostrukturiertes Material |0 (DE-588)4342626-8 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Mechanische Eigenschaft |0 (DE-588)4217961-0 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Statistische Mechanik |0 (DE-588)4056999-8 |2 gnd |9 rswk-swf |
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Datensatz im Suchindex
| _version_ | 1804140709341560832 |
|---|---|
| adam_text | HONG KONG UNIVERSITY OF SCIENCE AND TECHNOLOGY, ~WORLD SCIENTIFIC NEW
JERSEY* LONOON * SINGAPORE * SELJING * SHANGHAI * HONGKONG * TAIPEI*
CHENNAI PREFACE 1. INTRODUCTION CONTENTS VLL 1 1.1 WHAT ARE
MIEROMEEHANIES AND NANOMEEHANIES ? 1 1.2 VEETORS AND TENSORS. . 4 1.2.1
VEETOR ALGEBRA . . . . . . . . . . . . . . 4 1.2.2 TENSOR ALGEBRA . . .
. . . . . . . . . . . 6 1.2.3 INVERSION FORMULA FOR FOURTH-ORDER
ISOTROPIE TENSOR 9 1.2.4 TENSOR ANALYSIS ..... 11 1.3 REVIEW OF LINEAR
ELASTIEITY THEORY . . . . . . . . . . . . . . 13 1.3.1 GOVERNING
EQUATIONS. . . . . . . . . . . . . . . . . 13 1.3.2 BETTI S REEIPROEAL
THEOREM AMI THE SOMIGLIANA IDENTITY 15 1.4 REVIEW OF FINITE ELASTICITY
18 1.5 REVIEW OF MOLEEULAR DYNAMIES. . . . . . . 20 1.5.1 LAGRANGIAN
EQUATIONS OF MOTION . 20 1.5.2 HAMILTONIAN EQUATIONS OF MOTION. 22 1.5.3
INTERATOMIE POTENTIALS. . . . . . . 24 1.5.4 TWO-BODY (PAIR) POTENTIALS.
. . . 24 1.5.5 EMBEDDED-ATOM-METHOD (EAM) 27 1.6 ELEMENTS OF LATTIEE
DYNAMIES .. 29 1.6.1 CRYSTALLATTIEE STRUETURES 29 1.6.2 CRYSTALLOGRAPHIE
SYSTEM. 32 1.6.3 LATTIEE DYNAMIES 35 1.7 EXEREISES 37 2. GREEN S
FUNCTION AND FOURIER TRANSFORM 2.1 BASIES OF GREEN S FUNCTION . 2.2
FOURIER TRANSFORM . . . . 2.3 EXAMPLES OF GREEN S FUNETIONS 2.4 STATIE
GREEN S FUNETION FOR 3D LINEAR ELASTIEITY . IX 39 39 42 47 50 X
INTRODUCTION TO MICROMECHANICS AND NANOMECHANICS 2.5 GREEN S FUNCTION
FOR STOKES EQUATIONS . 2.6 RADON TRANSFORM . 2.7 GREEN S FUNCTION FOR
ELASTODYNAMICS 2.8 LATTICE STATICS GREEN S FUNCTION (LSGF) 2.8.1
MARADUDIN S SOLUTION FOR THE SCREW DISLOCATION 2.9 EXERCISES . 3.
MICROMECHANICAL HOMOGENIZATION THEORY 56 58 62 65 66 70 73 3.1
ERGODICITY PRINCIPLE AND REPRESENTATIVE VOLUME ELEMENT(RVE) 74 3.1.1
ERGODIE PRINCIPLE 75 3.1.2 REPRESENTATIVE VOLUME ELEMENT. . . . . . . 78
3.2 AVERAGE FIELD IN AN RVE . . . . . . . . . . . . . . . 80 3.3
DEFINITION OF EIGENSTRAIN, EIGENSTRESS, AND INCLUSION 86 3.4 ESHELBY S
EQUIVALENT EIGENSTRAIN METHOD . 86 3.5 FUNDAMENTAL EQUATIONS OF
MICRO-ELASTICITY 89 3.5.1 METHOD OF FOURIER TRANSFORM . . . 90 3.5.2
METHOD OF GREEN S FUNCTION. . . . 91 3.6 ESHELBY S SOLUTION TO THE
INCLUSION PROBLEM IN AN INFINITE SPACE 94 3.6.1 INTERIOR SOLUTION OF
ELLIPSOIDAL INCLUSION 95 3.6.2 ESHELBY S CONJECTURES . . . . . . . . . .
. . . . . . . . . 99 3.6.3 EXTERIOR SOLUTION OF ELLIPSOIDAL INCLUSION .
. . . . . . . . 102 3.6.4 THE SECOND DERIVATIVES OF GREEN S FUNCTION AND
THC ESHELBY TENSORS . . . . . . . . . . . . . . . . . . 106 3.7
APPLICATIONS OF EIGENSTRAIN THEORY. . . . . . . . 108 3.7.1 STRAIN FIELD
IN EMBEDDED QUANTURN DOTS 108 3.7.2 DISLOCATION PROBLEMS . . . . . . . .
. . 112 3.7.3 STRESS INTENSITY FACTOR FOR A FLAT ELLIPSOIDAL CRACK 115
3.8 JOHN DOUGLAS ESHELBY (1916-1981) 121 3.9 EXERCISCS 125 4. EFFECTIVE
ELASTIC MODULUS 131 4.1 EFFECTIVE MOCLULUS FOR COMPOSITES WITH DILUTE
SUSPENSION PHASES 131 4.1.1 BASIC EQUATIONS FOR AVERAGE STRESS AND
STRAIN . . . . 131 4.1.2 HOMOGENIZATION: EQUIVALENT STRESS/STRAIN
CONCLITIONS 133 4.1.3 EXAMPLE: ELASTIC MODULUS OF ISOTROPIE CORNPOSITES
136 4.2 SELF-CONSISTENT RNETHOD . . . 138 4.3 MORI-TANAKA METHOD . . . .
. . . . . . . 143 4.3.1 TANAKA-MORI LEMMA. . . . . . . 143 4.3.2
MORI-TANAKA S MEAN FIELD THEORY 146 4.4 RODNEY HILI 151 4.5 EXERCISES
156 CONTENTS XI 5. COMPARISON VARIATIONAL PRINCIPLES 159 5.1 REVIEW OF
VARIATIONAL CALCULUS . . . . . . . . . . . . 159 5.2 EXTREMUM
VARIATIONAL PRINCIPLES IN LINEAR ELASTICITY 163 5.2.1 MINIMUM POTENTIAL
ENERGY PRINCIPLE . . . . 163 5.2.2 MINIMUM COMPLEMENTARY POTENTIAL
ENERGY PRINCIPLE 166 5.2.3 VOIGT BOUND AND RUESS BOUND . 168 5.3
HASHIN-SHTRIKMAN VARIATIONAL PRINCIPLES ...... 170 5.4 HASHIN-SHTRIKMAN
BOUNDS . . . . . . . . . . . . . . 176 5.5 REVIEW OF FUNCTIONAL ANALYSIS
AND CONVEX ANALYSIS . 186 5.5.1 CONCEPT OF CONVEXITY ........... 191
5.5.2 GIITEAUX VARIATION AND CONVEX FUNCTIONAL 193 5.5.3 PRIMAL
VARIATIONAL PROBLEMS ....... 195 5.6 LEGENDRE TRANSFORMATION AND DUALITY
. . . . . .. 196 5.7 LEGENDRE-FENCHEL TRANSFORMATION IN LINEAR
ELASTICITY . 203 5.8 TALBOT-WILLIS VARIATIONAL PRINCIPLES ......... 204
5.9 PONTE CASTAIIEDA VARIATIONAL PRINCIPLE ....... 207 5.9.1 EFFECTIVE
PROPERTY AND NONLINEAR POTENTIAL 207 5.9.2 VARIATIONAL METHOD BASED ON A
LINEAR COMPARISON SOLID 210 5.10 ZVI HASHIN 212 5.11 EXERCISES 212 6.
ESHELBY TENSORS IN A FINITE VOLUME AND THEIR APPLICATIONS 217 6.1
INTRODUCTION . . . . . . . . . . . ...... 217 6.2 THE INCLUSION PROBLEM
OF A FINITE RVE .. 218 6.3 PROPERTIES OF THE RADIALLY ISOTROPIC TENSOR
221 6.4 ESHELBY TENSORS FOR FINITE DOMAINS 224 6.4.1 DIRICHLET-ESHELBY
TENSOR ...... 225 6.4.2 NEUMANN-ESHELBY TENSOR ..... 229 6.5 AVERAGE
ESHELBY TENSORS AND AVERAGE DISTURBANCE FIELDS . 233 6.5.1 AVERAGE
ESHELBY TENSORS .......... 234 6.5.2 AVERAGE DISTURBANCE FIELDS
......... 236 6.6 IMPROVEMENTS OF CLASSICAL HOLLLOGENIZATION METHODS 237
6.6.1 DILUTE SUSPENSION MODEL ... 237 6.6.2 A REFINED MORI-TANAKA MODEL
238 6.6.3 MULTIPHASE VARIATIORLAL BOUNDS 241 6.7 APPLICATION TO
MULTISCALE FINITE ELEMENT METHODS 251 6.7.1 VARIATIONAL MULTISCALE
EIGENSTRAIN FORMULATION 251 6.7.2 MODAL ANALYSIS OF THE MODIFIED SMART
ELEMENT 258 6.7.3 NUMERICAL EXAMPLES 260 6.8 EXERCISES .......... 264
XII INTRODUCTION TO MICROMECHANICS AND NANOMECHANICS 7. MICROMECHANICAL
DAMAGE THEORY 265 7.1 SPHERICAL VOID GROWTH IN LINEAR VISCOUS SOLIDS ...
. . . 265 7.2 J VICCLINTOCK SOLUTION TO CYLINDRICAL VOID GROWTH PROBLEM
267 7.3 GURSON MODEL. . . . . . . . . . . . . . . . . . 273 7.4
GURSON-TVERGAARD-NEEDLEMAN (GTN) MODEL. 278 7.5 A COHESIVE MICRO-CRACK
DAMAGE MODEL . . . . 281 7.5.1 AVERAGE THEOREM FOR A COHESIVE RVE 282
7.5.2 PENNY-SHAPED COHESIVE CRACK UNDER UNIFORM TRIAXIAL TENSION 283
7.5.3 EFFECTIVE ELASTIC MATERIAL PROPERTIES OF AN RVE 287 7.5.4
MICRO-COHESIVE-CRACK DAMAGE MODELS 291 7.6 FRANK A. MCCLINTOCK . 293 7.7
EXERCISES 293 8. INTRODUCTION OF DISLOCATION THEORY 297 8.1 SCREW
DISLOCATION . . . . . . . . . . . . . . . . . . . . . . . 297 8.1.1 THE
SOLUTION OF A SCREW DISLOCATION ........ 298 8.1.2 IMAGE STRESS OF A
SCREW DISLOCATION IN A HALF SPACE 301 8.1.3 ESHELBY S TWIST: SCREW
DISLOCATION IN A FINITE WHISKER. 302 8.2 EDGE DISLOCATION
............... 303 8.2.1 IMAGE STRESS FOR AN EDGE DISLOCATION 306 8.3
PEACH-KOEHLER FORCE ............. 308 8.4 POINT DEFECTS
................. 313 8.4.1 DISPLACEMENT FIELD INDUCED BY A POINT DEFECT
314 8.4.2 FORMATION VOLUME TENSOR ... 315 8.5 CONTINUUM THEORY OF
DISLOCATION ... 317 8..5.1 VOLTERRA AND MURA S FORMULAS 317 8.5.2 THE
BURGERS FORMULA ..... 320 8.5.3 PEACH-KOEHLER STRESS FORMULA FOR
DISLOCATION LOOP 323 8.6 DISCRETE DISLOCATION DYNAMICS (DDD) 325 8.6.1
GALERKIN WEAK FORM FORMULATION 325 8.6.2 FINITE ELEMENT IMPLEMENTATION
327 8.7 PEIERLS-NABARRO MODEL .......... 329 8.7.1 HILBERT TRANSFORM
........ 330 8.7.2 PEIERLS-NABARRO DISLOCATION MODEL 331 8.7.3 MISFIT
ENERGY AND THE PEIERLS FORCE 335 8.7.4 VARIABLE CORE MODEL . . ......
341 8.7..5 STORY OF THE PEIERLS-NABARRO MODEL 344 8.8 DISLOCATIONS IN
EPITAXIAL THIN FILMS ..... 346 8.8.1 FRENKEL & KONTOROVA AND FRANK & VAN
DER MERWE MODELS. 346 8.8.2 MATTHEWS & BLACKESLEE S EQUILIBRIUM THEORY
353 8.8.3 MOBILITY OF SCREW DISLOCATIONS IN A THIN FILM. 355 8.9
EXERCISES ........................ 360 CONTENTS 9. INTRODUCTION TO
CONFIGURATIONAL MECHANICS 9.1 CONFIGURATIONAL FORCE: ESHELBY S
ENERGY-MOMENTUM TENSOR 9.1.1 ESHELBY S THOUGHT EXPERIMENT . 9.1.2
LESSONS FROM J.D. ESHELBY . 9.1.3 J-INTEGRAL AND ENERGY RELEASE RATE G
9.2 JAMES R. RICE . 9.3 CONFIGURATIONAL COMPATIBILITY . . . . . 9.3.1
CONTINUUM DISLOCATION THEORY 9.3.2 CONTINUUM DISCLINATION THEORY 9.3.3
RE-COMBINATION I: THE GENERALIZED NYE THEORY 9.3.4 RE-COMBINATION 11:
THE KROENER-DEWIT THEORY . 9.3.5 COMPATIBILITY CONSERVATION LAWS 9.4
MULTISCALE ENERGY-MOMENTUM TENSOR 9.5 EKKEHART KROENER (1919-2000) 9.6
EXERCISES . XIII 363 363 364 371 373 375 376 376 379 380 381 381 384 391
391 10. SMALL SCALE COARSE-GRAINED MODELS 393 10.1 GURTIN-MURDOCH
SURFACE ELASTICITY MODEL. 393 10.1.1 PROJECTION OPERATOR . . . . . 393
10.1.2 GURTIN-MURDOCH THEORY . . . . . . 396 10.1.3 SPHERICAL INCLUSION
PROBLEM. . . . 397 10.2 COHESIVE QUASI-CONTINUUM FINITE ELEMENT METHOD
399 10.2.1 ATOMISTIC MODELING . . . . 400 10.2.2 QUASI-CONTINUUM METHOD
. 401 10.2.3 INTERFACE CAUCHY-BORN RULE 404 10.3 MICROSCALE OR MESOSCALE
STRESS 412 10.3.1 VIRIAL STRESS 412 10.3.2 HARDY STRESS 415 10.4
EXERCISES 418 11. PERIODIC MICROSTRUCTURE AND ASYMPTOTIC HOMOGENIZATION
419 11.1 UNIT CELL AND FOURIER SERIES 419 11.1.1 FOURIER TRANSFORM OF
DISPLACEMENT FIELD AND STRAIN FIELD 421 11.1.2 FOURIER SERIES TRANSFORM
OF STRESS FIELD 422 11.2 EIGENSTRAIN HOMOGENIZATION . . . . . . . . .
423 11.3 INTRODUCTION TO ASYMPTOTIC HOMOGENIZATION 431 11.3.1
ONE-DIMENSIONAL MODEL PROBLEM 431 11.3.2 A MULTIPLE DIMENSION EXAMPLE
436 11.4 VARIATIONAL CHARACTERIZATION . . . . . . . 444 11.5 MULTISCALE
FINITE ELEMENT METHOD . . . . 447 11.5.1 ASYMPTOTIC HOMOGENIZATION OF
LINEAR ELASTICITY 448 XIV INTRODUCTION TO MICROMECHANICS AND
NANOMECHANICS 11.5.2 FINITE ELEMENT FORMULATION . 11.6 G-, H-, AND R-
CONVERGENCE . 11.6.1 STRONG CONVERGENCE AND WEAK CONVERGENCE 11.6.2
G-CONVERGENCE 11.6.3 H-CONVERGENCE 11.6.4 R-CONVERGENCE 11.7 TOSHIA MURA
11.8 EXERCISES 451 454 454 457 462 462 463 464 APPENDIX A APPENDIX OF
CHAPTER 6 467 A.1 INTEGRATION FORMULAS . . . . . . . . . . . . . . . . .
. . . . . . 467 A.2 TABLE OF ESHELBY TENSOR COEFFICIENTS FOR THREE-IAYER
SHELL MODEL 470 A.3 FINITE ESHELBY TENSORS FAR CIRCULAR INCLUSION . . .
. . . . . . . 472 APPENDIX TI NOETHER S THEOREMS B.1 NOETHER S THEOREM
FOR A VECTOR FIELD . B.2 NOETHER S THEOREM FOR A TENSORIAL FIELD
BIBLIOGRAPHY SUBJECT INDEX AUTHORS INDEX 475 475 476 481 495 499
|
| any_adam_object | 1 |
| author | Li, Shaofan Wang, Gang |
| author_facet | Li, Shaofan Wang, Gang |
| author_role | aut aut |
| author_sort | Li, Shaofan |
| author_variant | s l sl g w gw |
| building | Verbundindex |
| bvnumber | BV035776686 |
| callnumber-first | Q - Science |
| callnumber-label | QC176 |
| callnumber-raw | QC176.8.M5 |
| callnumber-search | QC176.8.M5 |
| callnumber-sort | QC 3176.8 M5 |
| callnumber-subject | QC - Physics |
| classification_tum | WER 035f PHY 602f WER 020f |
| ctrlnum | (OCoLC)228372511 (DE-599)BVBBV035776686 |
| dewey-full | 620.1 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 620 - Engineering and allied operations |
| dewey-raw | 620.1 |
| dewey-search | 620.1 |
| dewey-sort | 3620.1 |
| dewey-tens | 620 - Engineering and allied operations |
| discipline | Physik Werkstoffwissenschaften |
| format | Book |
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| id | DE-604.BV035776686 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T22:04:17Z |
| institution | BVB |
| isbn | 9789812814135 9812814132 9789812814142 9812814140 |
| language | English |
| lccn | 2008300032 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-018636270 |
| oclc_num | 228372511 |
| open_access_boolean | |
| owner | DE-91G DE-BY-TUM |
| owner_facet | DE-91G DE-BY-TUM |
| physical | XIV, 500 S. Ill., graph. Darst. |
| publishDate | 2008 |
| publishDateSearch | 2008 |
| publishDateSort | 2008 |
| publisher | World Scientific |
| record_format | marc |
| spelling | Li, Shaofan Verfasser aut Introduction to micromechanics and nanomechanics Shaofan Li ; Gang Wang Singapore [u.a.] World Scientific 2008 XIV, 500 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Includes bibliographical references and indexes Nanotecnologia larpcal Micromechanics Textbooks Nanotechnology Textbooks Mikrostruktur (DE-588)4131028-7 gnd rswk-swf Nanomechanik (DE-588)1084609584 gnd rswk-swf Nanostrukturiertes Material (DE-588)4342626-8 gnd rswk-swf Mechanische Eigenschaft (DE-588)4217961-0 gnd rswk-swf Statistische Mechanik (DE-588)4056999-8 gnd rswk-swf Mikromechanik (DE-588)4205811-9 gnd rswk-swf Nanostrukturiertes Material (DE-588)4342626-8 s Mechanische Eigenschaft (DE-588)4217961-0 s Statistische Mechanik (DE-588)4056999-8 s DE-604 Mikrostruktur (DE-588)4131028-7 s Mikromechanik (DE-588)4205811-9 s Nanomechanik (DE-588)1084609584 s 1\p DE-604 Wang, Gang Verfasser aut GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018636270&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Li, Shaofan Wang, Gang Introduction to micromechanics and nanomechanics Nanotecnologia larpcal Micromechanics Textbooks Nanotechnology Textbooks Mikrostruktur (DE-588)4131028-7 gnd Nanomechanik (DE-588)1084609584 gnd Nanostrukturiertes Material (DE-588)4342626-8 gnd Mechanische Eigenschaft (DE-588)4217961-0 gnd Statistische Mechanik (DE-588)4056999-8 gnd Mikromechanik (DE-588)4205811-9 gnd |
| subject_GND | (DE-588)4131028-7 (DE-588)1084609584 (DE-588)4342626-8 (DE-588)4217961-0 (DE-588)4056999-8 (DE-588)4205811-9 |
| title | Introduction to micromechanics and nanomechanics |
| title_auth | Introduction to micromechanics and nanomechanics |
| title_exact_search | Introduction to micromechanics and nanomechanics |
| title_full | Introduction to micromechanics and nanomechanics Shaofan Li ; Gang Wang |
| title_fullStr | Introduction to micromechanics and nanomechanics Shaofan Li ; Gang Wang |
| title_full_unstemmed | Introduction to micromechanics and nanomechanics Shaofan Li ; Gang Wang |
| title_short | Introduction to micromechanics and nanomechanics |
| title_sort | introduction to micromechanics and nanomechanics |
| topic | Nanotecnologia larpcal Micromechanics Textbooks Nanotechnology Textbooks Mikrostruktur (DE-588)4131028-7 gnd Nanomechanik (DE-588)1084609584 gnd Nanostrukturiertes Material (DE-588)4342626-8 gnd Mechanische Eigenschaft (DE-588)4217961-0 gnd Statistische Mechanik (DE-588)4056999-8 gnd Mikromechanik (DE-588)4205811-9 gnd |
| topic_facet | Nanotecnologia Micromechanics Textbooks Nanotechnology Textbooks Mikrostruktur Nanomechanik Nanostrukturiertes Material Mechanische Eigenschaft Statistische Mechanik Mikromechanik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018636270&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT lishaofan introductiontomicromechanicsandnanomechanics AT wanggang introductiontomicromechanicsandnanomechanics |