Contact, adhesion and rupture of elastic solids:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | German |
| Published: |
Berlin ; Heidelberg ; New York ; Barcelona ; Hong Kong ; London
Springer
2000
|
| Series: | Springer series in solid state sciences
130 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XIII, 414 S. graph. Darst. |
| ISBN: | 3540661131 |
Staff View
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Record in the Search Index
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|---|---|
| adam_text | D. MAUGIS CONTACT, ADHESION AND RUPTURE OF ELASTIC SOLIDS WITH 186
FIGURES SPRINGER CONTENTS * 1. ELEMENTS OF SURFACE PHYSICS 1 1.1
INTRODUCTION 1 1.2 VAN DER WAALS FORCES BETWEEN MOLECULES 3 1.2.1 THE
KEESOM THEORY (1921) 3 1.2.2 THE DEBYE THEORY (1920) 7 1.2.3 THE LONDON
THEORY (1930) 8 1.2.4 LENNARD-JONES POTENTIAL 11 1.2.5 RETARDED VAN DER
WAALS FORCES 12 1.3 VAN DER WAALS FORCES BETWEEN SOLIDS 14 1.3.1
NONRETARDED FORCES 14 1.3.2 RETARDED FORCES 16 1.3.3 DERJAGUIN
APPROXIMATION 16 1.3.4 EARLY EXPERIMENTS 19 1.3.5 LIFSCHITZ S THEORY OF
VAN DER WAALS FORCES 20 1.3.6 VAN DER WAALS DISJOINING PRESSURE 22 1.3.7
EXPERIMENTAL VERIFICATIONS OF LIFSHITZ S THEORY 25 1.4 SURFACE ENERGY 28
1.4.1 SURFACE ENERGY OF A LENNARD-JONES SOLID 30 1.4.2 SURFACE ENERGY OF
METALS 36 1.4.3 THEORETICAL STRESS: OROWAN S MODEL 37 1.4.4 ADHESIVE
AVALANCHE 39 1.4.5 WETTING FILMS 45 1.4.6 KINETICS OF SPREADING AND
PRECURSOR FILMS 48 1.4.7 DE-WETTING OF FILMS 50 1.5 SURFACE TENSION 50
1.5.1 MECHANICAL DEFINITION OF THE SURFACE TENSION OF A LIQUID 51 1.5.2
SURFACE TENSION OF THIN FILMS 56 1.5.3 SURFACE TENSION OF SOLIDS 57
1.5.4 MECHANICAL EFFECTS DUE TO THE SURFACE TENSION OF SOLIDS 59 1.6 THE
RELATION BETWEEN 7 AND A 64 1.6.1 SHUTTLEWORTH S EQUATION 64 1.6.2
SURFACE STRESS G IN ANY REVERSIBLE STRETCHING 65 CONTENTS 1.7 SURFACE
THERMODYNAMICS 67 1.7.1 DIVIDING SURFACE AND ADSORPTION 67 1.7.2 PLASTIC
STRETCHING: GIBBS ADSORPTION FORMULA 69 1.7.3 THE CASE OF REVERSIBLE
STRETCHING: THE GIBBS-ERIKSSON EQUATION 71 1.7.4 THERMODYNAMICS OF THE
ENERGY OF ADHESION 71 REFERENCES 77 ELEMENTS OF ELASTICITY 81 2.1 STRESS
TENSOR AT A POINT 81 2.1.1 DEFINITIONS 81 2.1.2 PRINCIPAL STRESSES AND
PRINCIPAL AXES 85 2.1.3 DEVIATORIC STRESS TENSOR AND VON MISES CRITERION
87 2.1.4 DESCRIPTION OF A STRESS FIELD 88 2.2 BASIC EQUATIONS 89 2.2.1
EQUATIONS OF EQUILIBRIUM 89 2.2.2 COMPATIBILITY EQUATIONS 90 2.2.3
CONSTITUTIVE EQUATIONS EXPRESSING THE LINEAR ELASTIC RELATIONSHIP
BETWEEN STRESSES AND STRAINS 90 2.3 PLANE STATE PROBLEMS 92 2.3.1 PLANE
STRAIN 92 2.3.2 PLANE STRESS 94 2.3.3 REMARK 98 2.4 AXISYMMETRIC
PROBLEMS 98 2.5 RESOLUTION OF *** = 0 IN PLANE ELASTICITY 101 2.5.1
ANALYTIC FUNCTIONS 101 2.5.2 THE METHOD OF KOLOSSOV AND MUSKHELISHVILI
103 2.5.3 THE OLD METHOD OF WESTERGAARD 106 2.6 RESOLUTION OF *** * 0 IN
AXISYMMETRY 108 2.7 THE INGLIS ELLIPTICAL CAVITY: STRESS CONCENTRATION
FACTORS .... 112 2.7.1 ELLIPTICAL COORDINATES 113 2.7.2 COMPLEX
POTENTIALS 114 2.7.3 ISOTROPIC LOADING 116 2.7.4 UNIAXIAL LOADING WITH SS
= 7*/2 119 2.7.5 GENERAL CASE 121 2.8 ELLIPTICAL CAVITY SUBJECTED TO
HYDROSTATIC PRESSURE 124 2.9 STRESSES CROSSING AN INTERFACE 129
REFERENCES 131 RUPTURE AND ADHERENCE OF ELASTIC SOLIDS 133 3.1
INTRODUCTION 133 3.2 THE THERMODYNAMIC ASPECT 134 3.2.1 STABILITY OF THE
EQUILIBRIUM AND ADHERENCE FORCE 138 3.2.2 BERRY S REPRESENTATION 142
3.2.3 MULTIPLE LOADINGS AND MUTUAL ENERGY 144 CONTENTS XI 3.3 THE
CALCULATION OF GRIFFITH 145 3.4 STUDY OF CRACKS: STRESS INTENSITY
FACTORS 147 3.4.1 EXACT SOLUTION FOR A STRAIGHT INTERNAL CRACK IN A
PLATE 147 3.4.2 POWER EXPANSION 158 3.4.3 COMPARISON WITH THE EXACT
SOLUTION 163 3.5 DIRECT CALCULATION OF THE STRESS INTENSITY FACTORS 166
3.6 CRACKS CARRYING INTERIOR TRACTIONS 171 3.6.1 STRAIGHT CRACK IN PLATE
171 3.6.2 PENNY-SHAPED CRACK 175 3.6.3 EXTERNAL CIRCULAR CRACK 179 3.7
CALCULATION OF G, IRWIN S FORMULA, AND THE J INTEGRAL 183 3.7.1 IRWIN S
FORMULA 183 3.7.2 REMARKS 185 3.7.3 THE J INTEGRAL 185 3.8 THE DUGDALE
MODEL 191 3.8.1 STRAIGHT CRACK IN A PLATE 192 3.8.2 PENNY-SHAPED CRACK
199 REFERENCES 201 4. FFICTIONLESS ELASTIC CONTACT 203 4.1 INTRODUCTION
203 4.1.1 METHOD OF HANKEL TRANSFORMS 206 4.1.2 SOME GENERAL THEOREMS
209 4.1.3 INFLUENCE OF THE SURFACE ENERGY 213 4.2 CONCENTRATED FORCE 216
4.2.1 DISPLACEMENTS 217 4.2.2 STRESSES 219 4.3 THE CIRCULAR FLAT PUNCH
224 4.3.1 STUDY OF THE DISPLACEMENTS 227 4.3.2 STUDY OF THE STRESSES 229
4.3.3 STRESSES AND DISPLACEMENTS AT THE EDGE OF THE CONTACT 231 4.3.4
ADHERENCE OF A FLAT PUNCH 234 4.4 CONTACT OF SPHERES: THE HERTZ THEORY
240 4.4.1 ELEMENTARY METHOD 241 4.4.2 STORED ELASTIC ENERGY 245 4.4.3
USE OF THE GENERAL THEOREMS 246 4.4.4 CALCULATION OF STRESSES AND
DISPLACEMENTS 249 4.4.5 STUDY OF THE STRESSES 251 4.4.6 STUDY OF
DISPLACEMENTS 256 4.4.7 IMPACT BETWEEN TWO SPHERES 257 4.5 CONTACTS OF
SPHERES: THE JKR THEORY 262 4.5.1 THERMODYNAMIC METHOD 262 4.5.2 USE OF
THE SNEDDON GENERAL THEOREMS 266 4.5.3 EQUILIBRIUM RELATIONS AND
ADHERENCE FORCE 267 XII CONTENTS 4.5.4 ENERGIES OF THE SYSTEM AND
BERRY S REPRESENTATION . . . 275 4.5.5 PROFILE OF A SURFACE 277 4.5.6
THE STRESS TENSOR 278 4.6 CONTACTS OF SPHERES: THE DMT THEORY 283 4.7
CONTACTS OF SPHERES: THE JKR-DMT TRANSITION 284 4.7.1 STUDY OF STRESSES
285 4.7.2 STUDY OF DISPLACEMENTS 286 4.7.3 PENETRATION 288 4.7.4 ENERGY
RELEASE RATE 289 4.7.5 EQUILIBRIUM CURVES 290 4.7.6 APPLICATION TO A
LIQUID MENISCUS 295 4.8 CONICAL PUNCH 296 4.8.1 GENERAL THEOREMS 296
4.8.2 CALCULATION OF DISPLACEMENTS AND STRESSES 300 4.8.3 STUDY OF
STRESSES 301 4.8.4 STUDY OF DISPLACEMENTS 304 4.8.5 ADHERENCE OF A
CONICAL PUNCH 307 4.8.6 IMPACT AND REBOUND OF A CONE 311 4.9 LIQUID
BRIDGES 313 4.10 CONTACT AND ADHERENCE OF ROUGH ELASTIC SOLIDS 317
4.10.1 DESCRIPTION OF A ROUGH SURFACE 317 4.10.2 MODELS OF ROUGH
SURFACES 322 4.10.3 CONTACT AND ADHERENCE OF TWO ROUGH PLANES 323
REFERENCES 343 5. STUDY OF SOME GEOMETRIES 345 5.1 BACKGROUND 345 5.1.1
BENDING OF A CANTILEVER BEAM 345 5.1.2 BEAM ON ELASTIC FOUNDATION 348
5.1.3 ELASTOPLASTIC BENDING 349 5.2 THE DOUBLE CANTILEVER BEAM 356 5.2.1
ELEMENTARY THEORY 356 5.2.2 INFLUENCE OF THE SHEAR FORCE 358 5.2.3
ROTATION OF THE BUILT-IN SECTION 359 5.2.4 CLEAVAGE STRESSES 365 5.2.5
ASYMMETRIC DOUBLE CANTILEVER BEAM 367 5.2.6 INFLUENCE OF AN INTERCALARY
FILM 368 5.3 PEELING 371 5.3.1 ELEMENTARY THEORY 371 5.3.2 SHAPE OF A
PEELED BAND 372 5.3.3 ROTATION OF THE BUILT-IN SECTION 375 5.3.4
CLEAVAGE STRESSES 377 5.3.5 SHEAR STRESSES 378 5.3.6 INFLUENCE OF
PRESTRESSES 380 5.3.7 PEELING AT SMALL ANGLES: DISLOCATIONS 381 XIII 5.4
THE LAP JOINT 383 5.4.1 ELEMENTARY THEORY 383 5.4.2 DISLOCATIONS IN
LAP JOINTS 388 5.4.3 OTHER EXAMPLES OF SPONTANEOUS PEELING 391 5.5
DOUBLE TORSION 393 5.5.1 ELEMENTARY THEORY 394 5.5.2 INFLUENCE OF THE
THICKNESS 396 5.6 THE BLISTER TEST 396 REFERENCES 400 APPENDIX A 403
REFERENCES 409 APPENDIX * 411 INDEX 413
|
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| illustrated | Illustrated |
| indexdate | 2024-07-09T18:33:36Z |
| institution | BVB |
| isbn | 3540661131 |
| language | German |
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| physical | XIII, 414 S. graph. Darst. |
| publishDate | 2000 |
| publishDateSearch | 2000 |
| publishDateSort | 2000 |
| publisher | Springer |
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| series | Springer series in solid state sciences |
| series2 | Springer series in solid state sciences |
| spelling | Maugis, Daniel 1934- Verfasser (DE-588)121406431 aut Contact, adhesion and rupture of elastic solids D. Maugis Berlin ; Heidelberg ; New York ; Barcelona ; Hong Kong ; London Springer 2000 XIII, 414 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Springer series in solid state sciences 130 Adhesion Elastic solids Fracture mechanics Festkörpermechanik (DE-588)4129367-8 gnd rswk-swf Elastomechanik (DE-588)4014161-5 gnd rswk-swf Festkörpermechanik (DE-588)4129367-8 s DE-604 Elastomechanik (DE-588)4014161-5 s Springer series in solid state sciences 130 (DE-604)BV000016582 130 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008693783&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Maugis, Daniel 1934- Contact, adhesion and rupture of elastic solids Springer series in solid state sciences Adhesion Elastic solids Fracture mechanics Festkörpermechanik (DE-588)4129367-8 gnd Elastomechanik (DE-588)4014161-5 gnd |
| subject_GND | (DE-588)4129367-8 (DE-588)4014161-5 |
| title | Contact, adhesion and rupture of elastic solids |
| title_auth | Contact, adhesion and rupture of elastic solids |
| title_exact_search | Contact, adhesion and rupture of elastic solids |
| title_full | Contact, adhesion and rupture of elastic solids D. Maugis |
| title_fullStr | Contact, adhesion and rupture of elastic solids D. Maugis |
| title_full_unstemmed | Contact, adhesion and rupture of elastic solids D. Maugis |
| title_short | Contact, adhesion and rupture of elastic solids |
| title_sort | contact adhesion and rupture of elastic solids |
| topic | Adhesion Elastic solids Fracture mechanics Festkörpermechanik (DE-588)4129367-8 gnd Elastomechanik (DE-588)4014161-5 gnd |
| topic_facet | Adhesion Elastic solids Fracture mechanics Festkörpermechanik Elastomechanik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008693783&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000016582 |
| work_keys_str_mv | AT maugisdaniel contactadhesionandruptureofelasticsolids |