Models and phenomena in fracture mechanics:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
2002
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| Schriftenreihe: | Foundations of engineering mechanics
Engineering online library |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XVII, 576 S. graph. Darst. |
| ISBN: | 3540437673 |
Internformat
MARC
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| 100 | 1 | |a Slepyan, Leonid I. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Models and phenomena in fracture mechanics |c Leonid I. Slepyan |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 2002 | |
| 300 | |a XVII, 576 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Foundations of engineering mechanics | |
| 490 | 0 | |a Engineering online library | |
| 650 | 4 | |a Bruchmechanik | |
| 650 | 4 | |a Mathematisches Modell | |
| 650 | 4 | |a Fracture mechanics |x Mathematical models | |
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Datensatz im Suchindex
| _version_ | 1804129262314192896 |
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| adam_text | LEONID I. SLEPYAN MODELS AND PHENOMENA IN FRACTURE MECHANICS WITH 142
FIGURES CONTENTS INTRODUCTION 1 1. FUNDAMENTALS AND BASIC RELATIONS 9
1.1 ENERGY RELEASE AND ENERGY CRITERION 9 1.1.1 WHAT IS A CRACK? 9 1.1.2
HOW DO CRACKS ARISE? 10 1.1.3 ENERGY RELEASE 12 1.1.4 ENERGY CRITERION
14 1.1.5 SURFACE ENERGY AND THE FAILURE ENERGY OF A SAMPLE ... 15 1.1.6
* STRENGTH AND WEAKNESSES OF THE ENERGY CRITERION 16 1.1.7 SURFACE
TENSION AND SURFACE ENERGY 19 1.1.8 NUCLEATION OF A CRACK AND STRENGTH
OF A MATERIAL 20 1.2 SOME METHODS FOR DETERMINATION OF ENERGY RELEASE 23
1.2.1 VARIATIONAL APPROACH 23 1.2.2 CONVOLUTION FORMULA 25 1.2.3
J-INTEGRAL 28 1.2.4 J-INTEGRAL FOR STEADY-STATE MOTION 31 1.3 OTHER
EXAMPLES OF THE ENERGY RELEASE PHENOMENON 33 1.3.1 SHOCK WAVE 34 1.3.2
MOVING SHIP 35 1.3.3 VEHICLE MOVING ALONG A BEAM ON AN ELASTIC
FOUNDATION 35 ; 1.4 STRESS INTENSITY CRITERION 39 1.4.1 FRACTURE PROCESS
ZONE 39 * 1.4.2 IRWIN FRACTURE CRITERION 40 1.5 SOME FRACTURE-ASSOCIATED
PHENOMENA 43 1.5.1 SIZE EFFECT 43 1.5.2 DIFFERENCE BETWEEN CRACK
INITIATION AND PROPAGATION CRITERIA 44 1.5.3 INSTABILITIES IN CRACK
PROPAGATION . . 44 2. FOURIER TRANSFORM AND RELATED TOPICS 47 2.1
CONTINUOUS FOURIER TRANSFORM 47 : 2.1.1 DEFINITIONS 47 2.1.2 THE INVERSE
FOURIER TRANSFORM 49 2.1.3 CAUCHY-TYPE INTEGRAL. CONTINUOUS CASE .... 52
X CONTENTS 2.1.4 LAPLACE TRANSFORM 53 2.1.5 FOURIER TRANSFORM OF A
CONVOLUTION 53 2.1.6 SOME ASYMPTOTES 54 2.2 WIENER-HOPF TECHNIQUE 56
2.2.1 THE EQUATION 56 2.2.2 FACTORIZATION 56 2.2.3 SOLUTION IN TERMS OF
THE TRANSFORM 58 2.2.4 DELTA-FUNCTION AS A GENERALIZED LIMIT 58 2.2.5
SOLUTION 59 2.2.6 CONSIDERATIONS IN TERMS OF ORIGINAL FUNCTIONS 60 2.3
LAPLACE AND FOURIER TRANSFORM 60 2.3.1 STRAIGHTFORWARD INVERSION FORMULA
61 2.3.2 DOUBLE FOURIER TRANSFORM AND HANKEL TRANSFORM : . . . . 63 2.4
DISCRETE FOURIER TRANSFORM 64 2.4.1 DEFINITION 64 2.4.2 INVERSE
TRANSFORM 65 2.4.3 CAUCHY-TYPE INTEGRAL. DISCRETE CASE 67 2.4.4
CONVOLUTION 67 2.4.5 SOME ASYMPTOTES 68 2.4.6 POWER ASYMPTOTES AND THE
RELATED CONTINUUM 69 2.4.7 WIENER-HOPF TECHNIQUE FOR THE DISCRETE
TRANSFORM ... 69 3. WAVES 71 3.1 WAVES OF SINUSOIDAL AND EXPONENTIAL
TYPES 71 3.1.1 EQUATIONS 71 3.1.2 COMPLEX WAVE AND DISPERSION RELATIONS
72 3.1.3 WHAT IS A UNIFORM WAVEGUIDE? 76 3.1.4 PHASE AND GROUP
VELOCITIES 77 3.1.5 ENERGY FLUX IN A WAVE 78 3.1.6 ADDITIVITY OF ENERGY
FLUXES IN DIFFERENT WAVES 81 3.2 WAVES IN PERIODIC STRUCTURES . 84 3.2.1
DISCRETE CHAIN 84 3.2.2 GENERAL SYSTEM OF PERIODIC STRUCTURE 88 3.3
FORCED WAVES ? 90 3.3.1 COMPLEX WAVE AND FOURIER TRANSFORM 90 3.3.2
CAUSALITY PRINCIPLE FOR STEADY-STATE SOLUTIONS .. : 91 3.3.3
PRE-LIMITING LOCATION OF A ZERO POINT AND THE GROUP VELOCITY 94 3.3.4
CONTRIBUTIONS OF SINGULAR POINTS 97 3.3.5 RESONANT WAVES 99 3.4 WAVES IN
HOMOGENEOUS SPACE AND HALF-SPACE 101 3.4.1 LINEAR ELASTIC ISOTROPIC
SPACE 101 3.4.2 LONGITUDINAL AND SHEAR WAVES 103 3.4.3 RAYLEIGH WAVE :
104 3.5 NONLINEAR WAVES IN A STRING 106 CONTENTS XI . 3.5.1 THE
WAVEFRONT CONDITIONS 106 3.5.2 TWO-STEP-WAVE CONFIGURATION 109 3.5.3
SOME ASYMPTOTIC RESULTS 110 4. ONE-DIMENSIONAL MODELS ILL 4.1 STRING
MODEL ILL 4.1.1 STRING ATTACHED TO A RIGID FOUNDATION ILL 4.1.2 COHESIVE
ZONE MODEL FOR A STRING 113 4.1.3 STRING ON A LINEAR ELASTIC FOUNDATION
115 4.1.4 NONLINEAR POST-PEAK SOFTENING COHESIVE FORCES 115 4.1.5
DISCRETE BONDS 116 4.1.6 SOUNDLESS CRACK 117 4.1.7 NONLINEAR STRING
MODEL 120 4.1.8 NONUNIFORM CRACK PROPAGATION 121 4.1.9 DYNAMIC FRACTURE
UNDER A FRACTURE CRITERION 126 4.1.10 TEARING OF A STRING FROM A SOLID
UNDER AN IMPACT .... 127 4.1.11 NONLINEAR DYNAMIC PROBLEM 129 4.2
BENDING BEAM MODEL 132 4.2.1 SPLITTING OF A BEAM IN HALF 132 4.2.2 SIZE
EFFECT 134 4.2.3 STEADY-STATE DYNAMIC PROBLEM 135 4.2.4 THREAD*BEAM
PROBLEM 137 4.2.5 WAVE RESISTANCE IN CRACK PROPAGATION 139 5. STATIC
CRACKS IN A LINEARLY ELASTIC BODY 143 5.1 FIELD REPRESENTATIONS 143 5.2
KOLOSOV-MUSKHELISHVILI REPRESENTATION 145 5.2.1 OPENING MODE 145 5.2.2
SHEAR MODE 146 5.2.3 ANTI-PLANE MODE 146 5.2.4 BOUNDARY CONDITIONS,
HARMONIC FUNCTION AND INTEGRAL EQUATION 147 5.3 PAPKOVICH REPRESENTATION
148 5.3.1 OPENING MODE 149 5.3.2 SHEAR MODE 149 5.3.3 OPENING MODE IN
CYLINDRICAL COORDINATES 150 5.3.4 SHEAR MODE IN CYLINDRICAL COORDINATES
151 5.3.5 AXIALLY SYMMETRIC CASE 152 ,: * 5.4 CRACK IN AN UNBOUNDED
PLANE 154 5.4.1 FINITE PLANE CRACK 154 5.4.2 NONLINEAR CONDITION FOR
MODE I 158 5.5 ASYMPTOTES 160 5.5.1 STRESS INTENSITY FACTORS 160 5.5.2
CRACK TIP SINGULARITY 160 5.5.3 STRESSES IN POLAR COORDINATES 161 XII
CONTENTS 5.5.4 STRESS INTENSITY FACTORS AND ENERGY RELEASE 164 5.6
HOMOGENEOUS SOLUTIONS 165 5.6.1 HOMOGENEOUS SOLUTION AS A LIMIT 165
5.6.2 OTHER HOMOGENEOUS SOLUTIONS 166 5.7 INTEGRAL EQUATIONS FOR A
GENERAL CRACK SYSTEM ....:........ 167 5.7.1 FIELD INDUCED BY A
DISLOCATION 167 5.7.2 SUPERPOSITION . 170 5.8 CRACK INTERACTION 172
5.8.1 COLLINEAR CRACK ARRAY. GENERAL DISTRIBUTION 172 5.8.2 PERIODIC
COLLINEAR CRACK ARRAY 173 5.8.3 PARALLEL CRACKS 176 5.8.4 COLLINEAR
CRACKS DO NOT LIKE TO MEET EACH OTHER 179 5.9 ENERGY RELEASE UNDER CRACK
KINK 181 5.10 COHESIVE ZONE MODEL 184 5.10.1 FORMULATION AND SOLUTION
185 5.10.2 ENERGY RELEASE. LARGE AND SMALL CRACKS 187 5.11 PENNY-SHAPED
CRACK 189 5.11.1 CRACK UNDER NORMAL TRACTION 189 5.11.2 AXIALLY
SYMMETRIC PROBLEMS 194 5.11.3 HARMONIC GREEN S FUNCTION 197 5.12 BETTI S
THEOREM AND THE WEIGHT FUNCTIONS 197 5.12.1 BETTI S RECIPROCITY THEOREM
197 5.12.2 WEIGHT FUNCTION METHOD 199 A 6. NONLINEAR ELASTIC BODY 205
6.1 SOME DATA FROM NONLINEAR ELASTICITY 205 6.1.1 GEOMETRICAL RELATIONS
205 6.1.2 PHYSICAL RELATIONS 207 6.2 LAGRANGIAN AND EULERIAN
INTERPRETATION OF LINEAR ELASTICITY . . 213 6.2.1 BOUNDARY CONDITIONS
213 6.2.2 LAGRANGIAN INTERPRETATION 214 6.2.3 EULERIAN INTERPRETATION
216 6.3 STRAINS IN THE NEIGHBORHOOD OF A SINGULAR POINT ....:. 221 6.3.1
LAGRANGE VARIABLES 221 6.3.2 EULER VARIABLES 223 6.3.3 LOGARITHMIC
SINGULARITY IS THE LOWER BOUND 225 6.4 EXACT RELATIONSHIPS FOR THE
ENERGY RELEASE AND SOME CONSEQUENCES 226 6.4.1 J-INTEGRAL 226 6.4.2
CRACK OPENING AND STRESSES ON THE CRACK LINE 227 CONTENTS XIII 7.
VISCOELASTIC FRACTURE 229 7.1 SOME DATA FROM VISCOELASTICITY 229 7.1.1
GENERAL FORMULATIONS 229 7.1.2 STANDARD VISCOELASTIC MATERIAL 231 7.1.3
STABILITY AND PASSIVITY 233 7.1.4 CORRESPONDENCE PRINCIPLE 234 7.1.5
STATIC PROBLEMS. TIME-DEPENDENT BOUNDARY REGIONS . . 235 7.2 STATIONARY
CRACK AND COLLINEAR CRACK SYSTEM 237 7.3 GROWING CRACK 238 7.3.1
STEADY-STATE FORMULATION 238 7.3.2 ENERGY RELEASE AND CRACK GROWTH
PARADOX 240 7.4 COHESIVE ZONE FOR VISCOELASTIC MATERIAL 241 7.4.1
ELASTIC COHESIVE ZONE 241 7.4.2 VISCOELASTIC COHESIVE ZONE 244 7.4.3
GLOBAL-TO-LOCAL ENERGY RELEASE RATIO 245 8. ELASTIC-PLASTIC FRACTURE 249
8.1 ELASTIC-PLASTIC FIELDS 250 8.1.1 SOME BASIC RELATIONS 250 8.1.2
STRESS FIELDS 252 8.1.3 CONTINUITY CONDITIONS . 256 8.1.4 STRAIN FIELDS
258 8.1.5 MOVING STRAIN FIELDS 259 8.1.6 UNLOADING DOMAIN 262 8.2 FIXED
CRACKS 267 8.2.1 PROPORTIONAL LOADING 267 8.2.2 MODE III CRACK 268 8.2.3
CRACK UNDER PLANE STRAIN 271 8.2.4 BARENBLATT-DUGDALE MODEL FOR PLANE
STRESS CRACK 273 8.3 GROWING CRACKS . . 275 8.3.1 MODE III GROWING
CRACK 276 8.3.2 MODE I GROWING CRACK 278 8.3.3 MODE II GROWING CRACK 283
8.3.4 A NOTE ON THE LOGARITHMIC SINGULARITY 284 8.3.5 MODIFIED
BARENBLATT-DUGDALE MODEL FOR CRACK UNDER CYCLIC LOADING 285 8.4
ELASTIC-PLASTIC DYNAMIC FRACTURE 289 8.4.1 MODE III CRACK PROPAGATION :
290 8.4.2 MODE I CRACK PROPAGATION 293 9. DYNAMIC FRACTURE IN A
HOMOGENEOUS ELASTIC MEDIUM .... 297 1 9.1 SOME BASIC RELATIONS 297 I
9.1.1 MODE III AND HYDRODYNAMIC ANALOGUE 297 9.1.2 MODE III FUNDAMENTAL
SOLUTION 298 ** 9.1.3 PLANE PROBLEM FUNDAMENTAL SOLUTIONS 299 XIV
CONTENTS 9.2 CRACK TIP ASYMPTOTES AND THE ENERGY RELEASE 301 9.2.1
VALIDITY OF THE STEADY-STATE FORMULATION 301 9.2.2 SUBSONIC CRACK 302
9.2.3 INTERSONIC CRACK 305 9.3 FACTORIZATION OF THE FUNDAMENTAL
SOLUTIONS 307 9.3.1 SINGULAR POINTS, CONVOLUTIONS AND SUPPORTS 308 9.3.2
FACTORIZATION FOR TRANSIENT PROBLEMS 309 9.3.3 FACTORIZATION FOR UNIFORM
CRACK PROPAGATION 314 9.4 UNIFORM CRACK PROPAGATION 316 9.4.1
STEADY-STATE AND STATIC SOLUTIONS 316 9.4.2 TRANSIENT PROBLEM WITH A
CONSTANT CRACK SPEED 318 9.5 NONUNIFORM CRACK SPEED PROBLEM 319 9.5.1
SOLUTION FOR A FREE SECTOR 319 9.5.2 MODE III EXPLICIT SOLUTION 322
9.5.3 CRACK TIP ASYMPTOTES FOR PLANE PROBLEM 325 9.5.4 ENERGY RELEASE
VERSUS CURRENT CRACK SPEED 330 9.5.5 CRACK SPEED CROSSES THE CRITICAL
SPEED 332 9.6 SELF-SIMILAR DYNAMIC PROBLEMS 337 9.6.1 FORMULATION AND
BASIC RELATIONS 337 9.6.2 HOMOGENEOUS SOLUTIONS 339 9.6.3 SOLUTION TO
THE PROBLEM 340 9.6.4 STRESS INTENSITY FACTORS FOR SYMMETRIC CASE 342
9.7 DYNAMIC CRACK IN A PLATE UNDER BENDING 343 9.7.1 FORMULATION 344
9.7.2 DYNAMIC FRACTURE EQUATIONS 346 9.7.3 BENDING WAVES UNDER
PLATE-FLUID INTERACTION 348 9.7.4 EDGE BENDING WAVES 349 9.7.5 CRACK TIP
ASYMPTOTES AND THE LOCAL ENERGY RELEASE . 351 9.8 PRINCIPLE OF MAXIMUM
ENERGY DISSIPATION RATE 353 9.8.1 INTRODUCTORY REMARKS 353 9.8.2 THE
DYNAMIC FRACTURE CRITERION . . . 355 10. CRACKS IN A BENDING PLATE . .
: 359 10.1 ASYMPTOTIC SOLUTION FOR A SINGLE CRACK 359 10.1.1 CRACK
CLOSURE PHENOMENON 359 10.1.2 PLANE-BENDING PROBLEM 361 10.1.3 CONTACT
PROBLEM 362 10.1.4 ENERGY RELEASE 363 10.1.5 LIMITING CASES AND
ASYMPTOTES 365 10.1.6 CLOSURE FORCE AND MOMENT 365 10.1.7 CONTACT STRESS
DISTRIBUTION 367 10.1.8 ASYMPTOTIC CLOSURE WIDTH 367 10.2 RADIAL
CRACKING WITH CLOSURE *.... 370 10.2.1 FEW VERSUS MANY CRACKS . 371
10.2.2 FORMULATION OF THE COUPLED PROBLEM 372 CONTENTS XV 10.2.3 CRACK
CLOSURE, OPEN CRACK AND INTACT REGIONS 375 10.2.4 SOLUTIONS 377 10.2.5
ENERGY RELEASE 379 10.3 SELF-SIMILAR DYNAMIC PROBLEM 382 10.3.1
FORMULATION 382 10.3.2 GENERAL SOLUTION 383 10.3.3 ENERGY CRITERION AND
THE NUMBER OF CRACKS 387 10.3.4 CONCLUDING REMARKS 388 11. THE
SQUARE-CELL LATTICE 389 11.1 PRELIMINARIES 389 11.2 SOME INTRODUCTORY
REMARKS 390 11.3 ELASTIC LATTICE: FORMULATION AND THE GOVERNING EQUATION
.... 392 11.3.1 FORMULATION 392 11.3.2 DERIVATION OF THE GOVERNING
EQUATION 393 11.3.3 ZERO POINTS OF THE FUNCTIONS H(K) AND R(K) 395 .
11.4 FACTORIZATION 398 11.4.1 DIRECT FACTORIZATION 398 11.4.2 OTHER TYPE
OF FACTORIZATION 399 11.5 SOLUTIONS 400 11.5.1 GENERAL HOMOGENEOUS
SOLUTION 400 11.5.2 MACROLEVEL-ASSOCIATED SOLUTION 403 11.5.3 LAYERED
AND HOMOGENEOUS MATERIAL 406 11.5.4 MICROLEVEL SOLUTIONS 409 11.5.5
STRUCTURE OF WAVES IN THE X, Y-PLANE 414 * 11.5.6 WAVE AMPLITUDE IN THE
A^Y-PLANE 416 11.5.7 EXISTENCE OF REAL SOLUTIONS 420 11.6 VISCOELASTIC
LATTICE 422 11.6.1 INTRODUCTORY REMARKS 422 11.6.2 FORMULATION AND BASIC
RELATIONS 424 11.6.3 STRESS-STRAIN RELATION IN TERMS OF FOURIER
TRANSFORM .425 11.6.4 LOCAL ENERGY RELEASE 427 11.6.5 UNBOUNDED LATTICE
428 11.6.6 LATTICE STRIP 436 11.6.7 QUASI-STATIC CRACK GROWTH 439 12.
TRIANGULAR-CELL ELASTIC LATTICE 445 12.1 INTRODUCTORY REMARKS 445 12.2
GENERAL PROPERTIES OF FUNDAMENTAL SOLUTIONS 447 12.2.1 LATTICE AND
COORDINATES 447 12.2.2 PLAN OF THE SOLUTION 447 12.2.3 SOME PROPERTIES
OF THE FUNDAMENTAL SOLUTIONS 449 12.3 EQUATIONS AND GENERAL SOLUTIONS
451 12.3.1 DYNAMIC EQUATIONS 451 12.3.2 GENERAL SOLUTION FOR THE INTACT
LATTICE 453 XVI CONTENTS 12.3.3 SYMMETRY AND THE MODES 455 12.3.4
DYNAMIC EQUATION FOR A PARTICLE WITH N = 0 456 12.3.5 GREEN S FUNCTION
L{K) AND DISPERSION RELATIONS 457 12.3.6 GENERAL SOLUTION 461 12.4
MACROLEVEL-ASSOCIATED SOLUTION 462 12.4.1 VARIOUS ASYMPTOTES 462 12.4.2
ASYMPTOTES FOR L(K) 463 12.4.3 ASYMPTOTES FOR L{K) 466 12.4.4 ENERGY
RELEASE 468 12.4.5 MODE II INTERSONIC CRACK SPEED. INHOMOGENEOUS PROB-
LEM 471 12.4.6 DISSIPATIVE WAVES 473 12.5 MICROLEVEL SOLUTIONS 474
12.5.1 GENERAL CHARACTERIZATION 474 12.5.2 SUB-RAYLEIGH CRACK SPEED 475
12.5.3 SUPER-RAYLEIGH CRACK SPEED 476 12.5.4 INTERSONIC CRACK SPEED 477
12.5.5 SUPERSONIC CRACK SPEED 478 12.6 CONCLUDING REMARKS 478 13. PHASE
TRANSITION WAVES 481 13.1 INTRODUCTORY REMARKS 481 13.2 MACROLEVEL
SOLUTION 483 13.3 DISCRETE CHAIN 485 13.3.1 FORMULATION 485 13.3.2
DERIVATION OF THE GOVERNING EQUATION 486 13.3.3 FACTORIZATION 488 13.3.4
GENERAL HOMOGENEOUS SOLUTION 490 13.3.5 MACROLEVEL-ASSOCIATED SOLUTION
492 13.3.6 CHAIN-BASED MACROLEVEL SOLUTION 494 13.3.7 DISSIPATIVE WAVES
499 13.3.8 MICROLEVEL SOLUTIONS 499 13.4 HIGHER-ORDER-DERIVATIVE MODEL
503 13.4.1 SOME GENERAL CONSIDERATIONS 503 13.4.2 THEOREM ON THE HIGHEST
MODULUS 505 13.4.3 EQUATION OF THE FOURTH ORDER 507 13.4.4 SUBSONIC
SPEED 509 13.4.5 INTERSONIC SPEED 511 13.4.6 SUPERSONIC SPEED 513 13.5
CONCLUDING REMARKS 514 CONTENTS XVII 14. DYNAMIC AMPLIFICATION FACTOR IN
FRACTURE AND PHASE TRANSITION 517 14.1 INTRODUCTORY REMARKS 517 14.2
LINE OF VISCOELASTIC OSCILLATORS 519 14.3 DOR AND SAR DOMAINS FOR
VISCOELASTIC OSCILLATOR 521 14.4 VISCOELASTIC SQUARE-CELL LATTICE 523
14.4.1 SUPERPOSITION 523 14.4.2 DERIVATION OF A GOVERNING EQUATION 525
14.4.3 FACTORIZATION 527 14.4.4 DIVISION OF THE RIGHT-HAND SIDE 527
14.4.5 SOLUTION 528 14.5 SLOW PHASE TRANSITION WAVE IN A CHAIN 532
14.5.1 FORMULATION 532 14.5.2 SUPERPOSITION 532 14.5.3 SOLUTION 533
14.5.4 SOME REMARKS 535 14.6 TRIANGULAR-CELL LATTICE. IRREGULARITIES IN
FRACTURE 537 14.6.1 INTRODUCTORY REMARKS 537 14.6.2 SUPERPOSITION 538
14.6.3 SUPERPOSITION PARADOX 539 14.6.4 TRANSIENT PROBLEM FOR AN INTACT
VISCOELASTIC LATTICE . . 540 14.6.5 LATTICE WITH A CRACK 543 14.6.6
SOLUTION OF THE AUXILIARY PROBLEM 545 14.6.7 SOLUTIONS FOR STATICS 546
14.6.8 SOME RESULTS OF NUMERICAL SIMULATIONS 549 14.6.9 CONCLUDING
REMARKS 556 REFERENCES 559 INDEX 573
|
| any_adam_object | 1 |
| author | Slepyan, Leonid I. |
| author_facet | Slepyan, Leonid I. |
| author_role | aut |
| author_sort | Slepyan, Leonid I. |
| author_variant | l i s li lis |
| building | Verbundindex |
| bvnumber | BV014392756 |
| callnumber-first | T - Technology |
| callnumber-label | TA409 |
| callnumber-raw | TA409 |
| callnumber-search | TA409 |
| callnumber-sort | TA 3409 |
| callnumber-subject | TA - General and Civil Engineering |
| classification_rvk | UF 3150 |
| classification_tum | MTA 035f |
| ctrlnum | (OCoLC)248824904 (DE-599)BVBBV014392756 |
| dewey-full | 620.1126 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 620 - Engineering and allied operations |
| dewey-raw | 620.1126 |
| dewey-search | 620.1126 |
| dewey-sort | 3620.1126 |
| dewey-tens | 620 - Engineering and allied operations |
| discipline | Physik |
| format | Book |
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| id | DE-604.BV014392756 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T19:02:20Z |
| institution | BVB |
| isbn | 3540437673 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009852371 |
| oclc_num | 248824904 |
| open_access_boolean | |
| owner | DE-703 DE-91G DE-BY-TUM DE-83 |
| owner_facet | DE-703 DE-91G DE-BY-TUM DE-83 |
| physical | XVII, 576 S. graph. Darst. |
| publishDate | 2002 |
| publishDateSearch | 2002 |
| publishDateSort | 2002 |
| publisher | Springer |
| record_format | marc |
| series2 | Foundations of engineering mechanics Engineering online library |
| spelling | Slepyan, Leonid I. Verfasser aut Models and phenomena in fracture mechanics Leonid I. Slepyan Berlin [u.a.] Springer 2002 XVII, 576 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Foundations of engineering mechanics Engineering online library Bruchmechanik Mathematisches Modell Fracture mechanics Mathematical models Bruchmechanik (DE-588)4112837-0 gnd rswk-swf Bruchmechanik (DE-588)4112837-0 s DE-604 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009852371&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Slepyan, Leonid I. Models and phenomena in fracture mechanics Bruchmechanik Mathematisches Modell Fracture mechanics Mathematical models Bruchmechanik (DE-588)4112837-0 gnd |
| subject_GND | (DE-588)4112837-0 |
| title | Models and phenomena in fracture mechanics |
| title_auth | Models and phenomena in fracture mechanics |
| title_exact_search | Models and phenomena in fracture mechanics |
| title_full | Models and phenomena in fracture mechanics Leonid I. Slepyan |
| title_fullStr | Models and phenomena in fracture mechanics Leonid I. Slepyan |
| title_full_unstemmed | Models and phenomena in fracture mechanics Leonid I. Slepyan |
| title_short | Models and phenomena in fracture mechanics |
| title_sort | models and phenomena in fracture mechanics |
| topic | Bruchmechanik Mathematisches Modell Fracture mechanics Mathematical models Bruchmechanik (DE-588)4112837-0 gnd |
| topic_facet | Bruchmechanik Mathematisches Modell Fracture mechanics Mathematical models |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009852371&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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