Mechanics of solid polymers: theory and computational modeling
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Amsterdam
Elsevier
2015
|
| Edition: | First edition |
| Series: | Plastics design library (PDL). PDL handbook series
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis Inhaltsverzeichnis |
| Physical Description: | xiv, 509 Seiten Illustrationen, Diagramme |
| ISBN: | 9780323311502 |
Staff View
MARC
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Record in the Search Index
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| adam_text | Contents
Preface xiii
1 Introduction and Overview 1
1 1 Introduction 1
1 2 What Is a Polymer? 2
1 3 Types of Polymers 4
1 4 History of Polymers 7
1 5 Polymer Manufacturing and Processing 11
1 6 Polymer Mechanics 11
1 7 Exercises 15
References 16
2 Experimental Characterization Techniques 19
2 1 Introduction 20
2 2 Mechanical Testing for Material Model Calibration 22
221 Uniaxial Compression Testing 24
222 Uniaxial Tension Testing 29
223 Plane Strain Tension 33
224 Simple Shear Testing 37
225 Impact Testing 40
226 Dynamic Mechanical Analysis 43
227 Hardness and Indentation Testing 47
228 Split-Hopkinson Pressure Bar Testing 53
229 Bulk Modulus Testing 64
2 2 10 Other Common Mechanical Testing Modes 71
2 2 11 Testing for Failure Model Calibration 73
2 3 Mechanical Testing for Material Model Validation 73
231 Material Model Verification and Validation 75
232 Small Punch Testing 77
233 V-Notch Shear Testing 80
2 4 Surface Characterization Techniques 80
241 Optical Microscopy 81
242 Scanning Electron Microscopy 84
243 Atomic Force Microscopy 87
VI
Contents
2 5 Volume Characterization Techniques 89
251 Differential Scanning Calorimetry 89
252 Transmission Electron Microscopy 90
253 X-Ray Diffraction 92
254 Birefringence 95
255 Swell Testing 97
2 6 Chemical Characterization Techniques 99
261 Fourier Transform Infrared Spectroscopy 100
262 Energy Dispersive Spectroscopy 101
263 Size-Exclusion Chromatography 103
264 Thermogravimetric Analysis 107
265 Raman Spectroscopy 109
2 7 Exercises 110
References 112
3 Finite Element Analysis as an Engineering Tool 115
3 1 Introduction 115
311 Required Inputs for FEA 117
3 2 Types of FEA 119
3 3 Review of Modeling Techniques 120
331 Deformation Modeling 120
332 Failure Modeling 125
3 4 Exercises 130
References 130
4 Continuum Mechanics Foundations 131
4 1 Introduction 132
4 2 Classical Definitions of Stress and Strain 133
421 Uniaxial Loading 133
422 Multiaxial Loading 135
4 3 Large Strain Kinematics 137
4 4 Vector and Tensor Algebra 141
441 Vector Operations 141
442 The Dyadic Product 143
443 Tensor Operations 144
444 Derivatives of Scalar, Vector,
and Tensor Fields 147
Contents
vii
445 Coordinate Transformations 149
446 Invariants 150
4 5 Deformation Gradient 150
451 Eigenvalue and Spectral Decompositions 154
4 6 Strain, Stretch, and Rotation 157
4 7 Rates of Deformation 164
4 8 Stress Tensors 165
481 Stress Invariants 169
4 9 Balance Laws and Field Equations 171
491 Conservation of Mass 173
492 Balance of Linear Momentum 175
493 Balance of Angular Momentum 178
494 First Law of Thermodynamics 180
495 Second Law of Thermodynamics 183
4 10 Energy Balance and Stress Power 184
4 11 Constitutive Equations 187
4 11 1 Constitutive Equations for a
Thermoelastic Material 189
4 12 Observer Transformation 194
4 12 1 Objective Rates 198
4 13 Material Symmetry 198
4 14 List of Symbols 199
4 15 Exercises 202
References 206
5 Elasticity/Hyperelasticity 209
5 1 Introduction 210
5 2 Linear Elasticity 211
521 Isotropic Elasticity 211
522 Anisotropic Elasticity 215
523 Transversely Isotropic Elasticity 217
5 3 Isotropic Hyperelasticity 218
531 Continuum Mechanics Foundations 219
532 Similarity Between Uniaxial
Compression and Biaxial Tension 225
533 Similarity Between Pure Shear and
Planar Tension 226
Contents
viii
534 Dependence of Stored Energy on I and h 229
535 Freely Jointed Chain Model 232
536 Neo-Hookean Model 236
537 Mooney-Rivlin Model 243
538 Yeoh Model 245
539 Polynomial in I and h Model 250
5 3 10 Eight-Chain Model 250
5 3 11 Ogden Model 259
5 3 12 Gent Model 263
5 3 13 Horgan and Saccomandi Model 265
5 3 14 Knowles Model 268
5 3 15 Response Function Hyperelasticity 270
5 3 16 Extended Tube Model 273
5 3 17 BAM Model 275
5 4 Summary of Predictive Capabilities of Isotropic
Hyperelastic Models 277
5 5 Anisotropic Hyperelasticity 281
551 Generalized Fung Model 282
552 Invariant Based Anisotropy 282
553 Bischoff Anisotropic Eight-Chain Model 283
554 Bergstrom Anisotropic Eight-Chain Model 285
555 Holzapfel-Gasser-Ogden Model 285
5 6 Hyperelastic Foam Models 287
561 Blatz-Ko Foam Model 289
562 Hyperfoam Model 290
5 7 Mullins Effect Models 292
571 Ogden-Roxburgh Mullins Effect Model 293
572 Qi-Boyce Mullins Effect Model 295
5 8 Use of Hyperelasticity in Polymer Modeling 295
581 Experimental Testing 296
582 Drucker Stability 297
583 Determination of Material Parameters 298
584 Limitations of Hyperelasticity 298
5 9 Hyperelastic Code Examples 299
5 10 Exercises 303
References 304
Contents ix
6 Linear Viscoelasticity 309
6 1 Introduction 310
6 2 Small Strain Linear Viscoelasticity 310
621 Stress Relaxation Behavior 313
622 Monotonie Loading Response 314
623 Cyclic Loading Response 320
624 Experimental Determination of the
Storage and Loss Moduli 322
625 Representing Linear Viscoelasticity
Using Spectra 328
626 Computer Implementation 329
6 3 Large Strain Linear Viscoelasticity 331
631 Numerical Implementation 332
6 4 Creep Compliance Behavior 335
641 Relationships Between Creep Compliance
and Relaxation Modulus 336
6 5 Differential Form of Linear Viscoelasticity 337
651 Rheological Models 338
6 6 The Use of Shift Functions to Generalize
Linear Viscoelasticity Theory 340
661 Time-Temperature Equivalence 341
662 Vertical Shifts 345
6 7 Use of Linear Viscoelasticity in Polymer
Modeling 345
6 8 Exercises 349
References 350
7 Plasticity Models 353
7 1 Introduction 353
7 2 U-Plasticity with Isotropic Hardening 354
721 Cyclic Loading 355
722 Matlab Implementation 357
723 Python Implementation 359
724 Application to Thermoplastics 361
7 3 Plasticity with Kinematic Hardening 362
7 4 Johnson-Cook Plasticity 365
7 5 Drucker Prager Plasticity 366
x Contents
7 6 Use of Plasticity Models in Polymer Modeling 367
7 7 Exercises 368
References 369
8 Viscoplasticity Models 371
8 1 Introduction 372
8 2 Bergström-Boyce Model 372
821 Matlab Implementation of the BB-Model 382
822 Python Implementation of the BB-Model 384
823 Generic Numerical Implementation 386
824 Dynamic Loading Predictions 387
825 Use of the BB-Model for
Polymer Modeling 392
8 3 Arruda-Boyce Model 393
8 4 Dual Network Fluoropolymer Model 397
841 Matlab Implementation of the DNF Model 404
842 Use of the DNF Model for
Polymer Modeling 404
8 5 Hybrid Model 409
851 Matlab Implementation of the
Hybrid Model 413
852 Use of the Hybrid Model for
Polymer Modeling 414
8 6 Three Network Model 417
861 Matlab Implementation of the
Three Network Model 422
862 Python Implementation of the
Three Network Model 422
863 Use of the Three Network Model for
Polymer Modeling 426
8 7 Parallel Network Model 427
8 8 Use of Viscoplasticity in Polymer Modeling 431
8 9 Python Code Examples 432
8 10 Exercises 434
References 435
Contents
xi
9 Determination of Material Parameters from
Experimental Data 437
9 1 Introduction 437
9 2 Mathematics of Material Parameter Determination 438
9 3 Initial Guess of the Material Parameters 440
9 4 Error Measurement Functions 442
9 5 Algorithms for Parameter Extraction 444
9 6 Exercises 445
References 446
10 User Material Subroutines 447
10 1 Introduction 447
10 2 Abaqus/Explicit VUMAT for the
Neo-Hookean Model 448
10 3 Abaqus/Implicit UMAT for the
Neo-Hookean Model 450
Reference 454
11 Material Modeling Case Studies 455
11 1 Introduction 455
11 2 Acrylate-Butadiene Rubber 455
11 3 Chloroprene Rubber 460
11 4 Nitrile Rubber 464
11 5 Santoprene 468
11 6 High-Density Polyethylene 474
11 7 Polytetrafluoroethylene 479
11 8 Polyethylene Terephthalate 487
11 9 Polyether Ether Ketone 490
11 10 Exercises 496
References 497
|
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| indexdate | 2024-07-10T07:26:48Z |
| institution | BVB |
| isbn | 9780323311502 |
| language | English |
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| physical | xiv, 509 Seiten Illustrationen, Diagramme |
| publishDate | 2015 |
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| publisher | Elsevier |
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| series2 | Plastics design library (PDL). PDL handbook series |
| spelling | Bergström, Jörgen Verfasser (DE-588)1122590571 aut Mechanics of solid polymers theory and computational modeling Jörgen Bergström First edition Amsterdam Elsevier 2015 © 2015 xiv, 509 Seiten Illustrationen, Diagramme txt rdacontent n rdamedia nc rdacarrier Plastics design library (PDL). PDL handbook series Werkstoffmechanik (DE-588)1076028772 gnd rswk-swf Polymere (DE-588)4046699-1 gnd rswk-swf Polymere (DE-588)4046699-1 s Werkstoffmechanik (DE-588)1076028772 s DE-604 B:DE-89 V:DE-601 pdf/application http://www.gbv.de/dms/tib-ub-hannover/831923067.pdf 2016-06-07 Verlag Inhaltsverzeichnis Inhaltsverzeichnis HEBIS Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028894717&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Bergström, Jörgen Mechanics of solid polymers theory and computational modeling Werkstoffmechanik (DE-588)1076028772 gnd Polymere (DE-588)4046699-1 gnd |
| subject_GND | (DE-588)1076028772 (DE-588)4046699-1 |
| title | Mechanics of solid polymers theory and computational modeling |
| title_auth | Mechanics of solid polymers theory and computational modeling |
| title_exact_search | Mechanics of solid polymers theory and computational modeling |
| title_full | Mechanics of solid polymers theory and computational modeling Jörgen Bergström |
| title_fullStr | Mechanics of solid polymers theory and computational modeling Jörgen Bergström |
| title_full_unstemmed | Mechanics of solid polymers theory and computational modeling Jörgen Bergström |
| title_short | Mechanics of solid polymers |
| title_sort | mechanics of solid polymers theory and computational modeling |
| title_sub | theory and computational modeling |
| topic | Werkstoffmechanik (DE-588)1076028772 gnd Polymere (DE-588)4046699-1 gnd |
| topic_facet | Werkstoffmechanik Polymere |
| url | http://www.gbv.de/dms/tib-ub-hannover/831923067.pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028894717&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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