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Fundamentals of fiber orientation: description, measurement and prediction

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Bibliographische Detailangaben
Beteilige Person:	Tucker, Charles L. III (VerfasserIn)
Format:	Buch
Sprache:	Englisch
Veröffentlicht:	Munich Hanser [2022]
Schlagwörter:	Mechanische Eigenschaft Polymere Faserverstärkter Kunststoff Länge Faserorientierung Rheologische Eigenschaft Messung Mathematisches Modell Faser FBKTFASE: Fasern PLAS2022 Discontinuous fibers Fiber orientation Fiber-reinforced plastics Flow orientation
Links:	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=033269648&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
Umfang:	XVIII, 334 Seiten Illustrationen, Diagramme 25 cm
ISBN:	9781569908754 1569908753

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MARC


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Datensatz im Suchindex

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adam_text	CONTENTS PREFACE ................................................................................................... VII U INTRODUCTION ..................................................................................... 1 1.1 DISCONTINUOUS FIBER COMPOSITES ......................................................................... 1 1.2 PROCESSING, MICROSTRUCTURE AND PROPERTIES .......................................................... 2 1.3 COMPUTER-AIDED ENGINEERING WORKFLOW .............................................................. 5 1.4 SCOPE AND ORGANIZATION OF THE BOOK .................................................................... 8 1.5 ACCOMPANYING SOFTWARE ........................................................................................ 9 DESCRIBING FIBER ORIENTATION AND FIBER LENGTH ............................ 11 2.1 SINGLE FIBER ORIENTATION ........................................................................................ 11 2.2 DISTRIBUTIONS OF FIBER ORIENTATION ........................................................................ 12 2.2.1 PLANAR ORIENTATION ...................................................................................... 12 2.2.1.1 MATCHING TO DATA .................................................................... 13 2.2.2 THREE-DIMENSIONAL ORIENTATION ................................................................ 14 2.3 ORIENTATION TENSORS ............................................................................................... 16 2.3.1 INTRODUCTION ............................................................................................... 16 2.3.2 RELATIONSHIP TO THE DISTRIBUTION FUNCTION ................................................ 20 2.3.3 PROPERTIES OF THE ORIENTATION TENSOR ......................................................... 22 2.3.4 PRINCIPAL DIRECTIONS AND PRINCIPAL VALUES ................................................ 23 2.3.4.1 PROPERTIES OF EIGENVALUES AND EIGENVECTORS .............................. 24 2.3.4.2 RELATIONSHIP TO COORDINATE TRANSFORMATION .............................. 25 2.3.4.3 INDETERMINATE EIGENVECTORS ......................................................... 27 2.3.4.4 NUMERICAL DETAILS ........................................................................ 28 2.3.5 THE FOURTH-ORDER ORIENTATION TENSOR ....................................................... 29 2.3.5.1 CONTRACTED NOTATION ................................................................... 30 2.3.5.2 EXAMPLES ...................................................................................... 32 2.4 RECONSTRUCTING DISTRIBUTION FUNCTIONS ................................................................ 34 2.4.1 PLANAR ORIENTATION ..................................................................................... 35 2.4.1.1 FOURIER SERIES ............................................................................... 35 2.4.1.2 JEFFERY DISTRIBUTION, PLANAR ORIENTATION ..................................... 36 2.4.1.3 COMPARISON OF PLANAR ORIENTATION RECONSTRUCTIONS .................. 37 XII CONTENTS 2.4.2 3-D ORIENTATION ........................................................................................... 39 2.5 FIBER LENGTH ............................................................................................................ 40 2.6 NUMBER-AVERAGE AND WEIGHT-AVERAGE ORIENTATION .............................................. 42 2.7 CHAPTER SUMMARY ................................................................................................... 43 EL MEASURING FIBER ORIENTATION AND LENGTH ..................................... 45 3.1 PLANAR SECTION MEASUREMENTS OF ORIENTATION ...................................................... 45 3.1.1 MATHEMATICAL PRINCIPLES ............................................................................ 45 3.1.1.1 CORRECTING FOR SAMPLE BIAS .......................................................... 47 3.1.1.2 AMBIGUOUS ANGLES AND AMBIGUOUS TENSOR COMPONENTS .......... 51 3.1.1.3 SYSTEMATIC ERRORS IN 0 ................................................................... 52 3.1.2 PRACTICAL ASPECTS OF MEASUREMENT ............................................................. 53 3.1.2.1 SAMPLE PREPARATION AND IMAGING ................................................. 53 3.1.2.2 IMAGE ANALYSIS .............................................................................. 54 3.1.2.3 SAMPLE SIZE AND ORIENTATION ........................................................ 56 3.1.3 EXAMPLE: CORE/SHELL STRUCTURES IN INJECTION MOLDED COMPOSITES .......... 57 3.1.4 MEASUREMENT ACCURACY .............................................................................. 58 3.2 MICRO-CT MEASUREMENTS OF ORIENTATION ............................................................... 62 3.2.1 IMAGE ACQUISITION AND SAMPLE SIZE ............................................................ 62 3.2.2 IMAGE ANALYSIS ............................................................................................. 65 3.2.2.1 VOXEL ORIENTATIONS ....................................................................... 65 3.2.2.2 FIBER RECONSTRUCTION .................................................................... 67 3.2.2.3 EXAMPLE DATA ................................................................................ 68 3.2.2.4 COMPARISON OF IMAGE ANALYSIS SCHEMES .................................... 69 3.2.2.5 SAMPLES WITH FIBER BUNDLES OR PLATELETS ...................................... 69 3.3 LENGTH MEASUREMENT ............................................................................................. 70 3.3.1 DESTRUCTIVE SAMPLING .................................................................................. 70 3.3.2 MICRO-CT DATA FOR LENGTH ........................................................................... 73 3.4 CHAPTER SUMMARY ................................................................................................... 75 YY FLOW ORIENTATION OF SINGLE FIBERS .................................................. 77 4.1 FLOW KINEMATICS .................................................................................................... 77 4.1.1 DEFORMATION RATE AND VORTICITY ................................................................. 77 4.1.1.1 INVARIANTS AND THE SCALAR STRAIN RATE ........................................... 79 4.1.1.2 BASIC FLOWS .................................................................................... 79 4.1.2 FINITE DEFORMATION MEASURES .................................................................... 85 4.1.2.1 DISPLACEMENT FUNCTIONS .............................................................. 85 4.1.2.2 DEFORMATION GRADIENT TENSORS ................................................... 86 CONTENTS XIII 4.1.2.3 STRETCHING OF A MATERIAL LINE ....................................................... 88 4.1.2.4 BASIC DEFORMATIONS ....................................................................... 89 4.2 JEFFERY S EQUATION .................................................................................................... 91 4.2.1 RATE FORM .................................................................................................... 91 4.2.2 EXAMPLE SOLUTIONS AND THE TWO RULES OF FIBER ORIENTATION ..................... 93 4.2.2.1 PLANAR ORIENTATION IN SIMPLE SHEAR ............................................ 93 4.2.2.2 PLANAR ORIENTATION IN PLANAR EXTENSIONAL FLOW .......................... 95 4.2.3 NUMERICAL SOLUTIONS ................................................................................... 96 4.2.4 PARTICLE SHAPE FACTORS ................................................................................ 97 4.2.5 JEFFERY ORBITS ............................................................................................... 99 4.2.6 STRAIN-TIME SCALING AND REVERSIBILITY ....................................................... 101 4.2.7 DEFORMATION FORM ...................................................................................... 101 4.3 ORIENTATION PATTERNS IN INJECTION AND COMPRESSION MOLDING ............................. 103 4.3.1 TWO RULES THAT EXPLAIN EVERYTHING ............................................................ 103 4.3.2 SHELL LAYERS IN INJECTION MOLDING .............................................................. 104 4.3.3 CORE ORIENTATION IN INJECTION MOLDING ...................................................... 105 4.3.4 SKIN LAYERS AND THE FOUNTAIN FLOW ............................................................ 108 4.3.5 THE MYSTERY OF THICK PLAQUES .................................................................... 110 4.3.6 COMPRESSION MOLDING ................................................................................ 112 4.3.6.1 LUBRICATED SQUEEZE FLOW ............................................................. 112 4.3.6.2 NON-LUBRICATED SQUEEZE FLOW ..................................................... 114 4.4 CHAPTER SUMMARY .................................................................................................. 116 5 FLOW ORIENTATION OF GROUPS OF FIBERS ........................................... 117 5.1 JEFFERY S EQUATION FOR THE ORIENTATION TENSOR ....................................................... 117 5.1.1 DERIVATION ................................................................................................... 118 5.1.2 NUMERICAL SOLUTION FOR A MATERIAL POINT ................................................... 119 5.1.3 SPATIAL FIELDS OF ORIENTATION ...................................................................... 121 5.2 SOLVING FOR THE DISTRIBUTION FUNCTION .................................................................. 122 5.2.1 PLANAR ORIENTATION ...................................................................................... 122 5.2.2 3-D ORIENTATION ........................................................................................... 124 5.3 ISOTROPIC ROTARY DIFFUSION: THE FOLGAR-UICKER MODEL ........................................ 126 5.3.1 PLANAR ORIENTATION DISTRIBUTION FUNCTION ................................................ 127 5.3.2 3-D ORIENTATION DISTRIBUTION FUNCTION .................................................... 129 5.3.3 TENSOR EQUATION .......................................................................................... 130 5.4 CLOSURE APPROXIMATIONS ........................................................................................ 131 5.4.1 QUADRATIC, LINEAR AND HYBRID CLOSURES .................................................... 131 5.4.2 FITTED CLOSURES ............................................................................................ 132 XIV CONTENTS 5.4.2.1 EIGENVALUE-BASED ORTHOTROPIC FITTING ........................................ 133 5.4.2.2 INVARIANT-BASED ORTHOTROPIC FITTING ........................................... 136 5.4.2.3 THE JEFFERY DISTRIBUTION AND THE NATURAL CLOSURE ...................... 137 5.4.2.4 CLOSURES USING NUMERICAL DISTRIBUTION FUNCTION SOLUTIONS ...... 140 5.4.3 COMPARISON OF CLOSURE APPROXIMATIONS .................................................... 141 5.4.3.1 EQUAL INTERACTION COEFFICIENTS ..................................................... 142 5.4.3.2 TUNED INTERACTION COEFFICIENTS ..................................................... 143 5.4.3.3 PARTICLE SHAPE FACTOR .................................................................... 144 5.5 CHOOSING THE VALUE OF THE INTERACTION COEFFICIENT ............................................... 147 5.6 ANISOTROPIC ROTARY DIFFUSION .................................................................................. 149 5.6.1 MOTIVATION AND CONCEPT ............................................................................ 149 5.6.2 GENERAL EQUATIONS ...................................................................................... 150 5.6.2.1 TENSOR EQUATION ............................................................................. 150 5.6.2.2 DISTRIBUTION FUNCTION EQUATION .................................................. 151 5.6.3 CHOICES FOR THE ROTARY DIFFUSION TENSOR ................................................... 152 5.6.3.1 FIVE-CONSTANT MODEL .................................................................... 152 5.6.3.2 FOLGAR-TUCKER MODEL .................................................................... 153 5.6.3.3 IARD MODEL ................................................................................... 153 5.6.3.4 MRD AND PARD MODELS ................................................................ 153 5.6.3.5 WANG OR TWO-CONSTANT MODEL ..................................................... 154 5.6.4 CHOOSINGARD MODEL PARAMETERS ............................................................... 155 5.7 TRANSIENT ORIENTATION AND SLOW KINETICS MODELS ................................................. 159 5.7.1 MOTIVATION .................................................................................................... 159 5.7.2 SRF/SLIP MODEL ............................................................................................ 161 5.7.3 OBJECTIVE MODELS: RSC AND RPR ................................................................ 163 5.7.4 CHOOSING THE RSC OR RPR PARAMETER ......................................................... 165 5.7.5 COMBINING SLOW KINETICS WITH ANISOTROPIC ROTARY DIFFUSION .................. 166 5.7.6 FLOW-TYPE DEPENDENCE .............................................................................. 167 5.7.6.1 RATIONALE ........................................................................................ 167 5.7.6.2 MODELS ............................................................................................ 168 5.7.6.3 EXAMPLE ......................................................................................... 170 5.8 CHAPTER SUMMARY ................................................................................................... 171 YY SUSPENSION RHEOLOGY AND FLOW-ORIENTATION COUPLING ............... 173 6.1 BASICS OF CONSTITUTIVE EQUATIONS .......................................................................... 173 6.1.1 TOTAL STRESS AND EXTRA STRESS ....................................................................... 174 6.1.2 NEWTONIAN FLUID .......................................................................................... 174 6.1.3 GENERALIZED NEWTONIAN FLUID .................................................................... 175 CONTENTS XV 6.1.4 SHEAR VS. EXTENSIONAL VISCOSITY .................................................................. 175 6.2 STEADY SHEAR VISCOSITY OF FIBER SUSPENSIONS ....................................................... 176 6.2.1 MEASUREMENTS AND TYPICAL DATA ................................................................ 176 6.2.2 RELATIONSHIP TO FIBER ORIENTATION .............................................................. 178 6.3 AN ANISOTROPIC CONSTITUTIVE EQUATION FOR FIBER SUSPENSIONS ............................. 178 6.3.1 FLUID MOTION RELATIVE TO THE FIBERS ............................................................ 178 6.3.2 STRESS WITH FULLY ALIGNED FIBERS ................................................................. 180 6.3.3 STRESS WITH DISTRIBUTED ORIENTATION ............................................................ 182 6.3.4 THEORETICAL PREDICTIONS FOR N P ................................................................... 185 6.4 SOLVING FLOW PROBLEMS ........................................................................................... 187 6.4.1 GOVERNING EQUATIONS .................................................................................. 187 6.4.2 BOUNDARY AND INITIAL CONDITIONS ................................................................ 188 6.4.3 SOLUTION SCHEMES: COUPLED AND DECOUPLED ............................................ 189 6.4.4 TEMPERATURE EFFECTS .................................................................................... 189 6.5 EXAMPLE SOLUTIONS .................................................................................................. 190 6.5.1 AXISYMMETRIC CONTRACTION ......................................................................... 190 6.5.2 ANISOTROPIC SQUEEZE FLOW ........................................................................... 192 6.6 DECOUPLED FLOW AS A SPECIAL CASE ......................................................................... 193 6.6.1 CENTER-GATED DISK ...................................................................................... 193 6.6.2 GENERAL CRITERIA FOR DECOUPLING ................................................................. 196 6.7 ORIENTATION DEPENDENT ISOTROPIC VISCOSITY MODEL .............................................. 198 6.8 TRANSIENT RHEOLOGICAL EXPERIMENTS ....................................................................... 200 6.8.1 FLOW GEOMETRIES ........................................................................................ 200 6.8.2 INITIAL FIBER ORIENTATION STATE .................................................................... 201 6.8.3 COMPARING MODELS TO DATA ........................................................................ 202 6.8.4 INSIGHTS FROM TRANSIENT RHEOLOGY EXPERIMENTS ........................................ 203 6.9 CHAPTER SUMMARY .................................................................................................. 203 YY FIBER LENGTH DEGRADATION DURING PROCESSING ............................... 205 7.1 MODEL DEVELOPMENT .............................................................................................. 205 7.1.1 CONSERVATION OF FIBER LENGTH ..................................................................... 205 7.1.2 BREAKAGE RATE AND UNBREAKABLE LENGTH ................................................... 207 7.1.3 CHILD GENERATION RATES ............................................................................... 210 7.2 EFFECTS OF MODEL PARAMETERS ................................................................................. 212 7.3 IMPLEMENTATION IN MOLD FILLING SOFTWARE ............................................................. 216 7.3.1 FIBER LENGTH IN AN END-GATED STRIP ........................................................... 217 7.3.2 COMPARISON WITH EXPERIMENTS .................................................................. 219 7.4 CHAPTER SUMMARY .................................................................................................. 222 XVI CONTENTS YY MECHANICAL PROPERTIES AND ORIENTATION .......................................... 223 8.1 ANISOTROPIC ELASTICITY ............................................................................................. 223 8.1.1 STRESS AND STRAIN .......................................................................................... 223 8.1.2 STIFFNESS AND COMPLIANCE TENSORS ............................................................. 224 8.1.3 CONTRACTED NOTATION ................................................................................... 225 8.1.4 MATERIAL SYMMETRIES ................................................................................... 227 8.1.5 ENGINEERING OR TECHNICAL CONSTANTS .......................................................... 228 8.2 HOMOGENIZATION ..................................................................................................... 231 8.2.1 GENERAL PRINCIPLES ....................................................................................... 231 8.2.2 TWO-STEP HOMOGENIZATION ........................................................................ 234 8.3 STIFFNESS ESTIMATES FOR UNIDIRECTIONAL DISCONTINUOUS FIBER COMPOSITES ........... 235 8.3.1 ESHELBY/MORI-TANAKA MODEL ..................................................................... 235 8.3.2 LIELENS/DOUBLE-INCLUSION MODEL ............................................................... 236 8.3.3 HALPIN-TSAI EQUATIONS ................................................................................. 237 8.3.4 NUMERICAL ANALYSIS OF AN RVE .................................................................... 238 8.3.5 COMPARISON AND RECOMMENDATIONS ......................................................... 239 8.4 AVERAGING STIFFNESS FOR ORIENTATION AND LENGTH ................................................... 242 8.4.1 DEFINITIONS AND NOTATION ............................................................................ 242 8.4.2 TYPES OF STIFFNESS AVERAGES .......................................................................... 243 8.4.3 COMPUTING ORIENTATION AVERAGES ............................................................... 244 8.4.4 AVERAGING OVER FIBER LENGTH ....................................................................... 247 8.4.5 MODELING THE LAYERED STRUCTURE OF INJECTION MOLDINGS ............................ 249 8.5 COMPARISON TO EXPERIMENTS .................................................................................. 251 8.6 THERMAL EXPANSION ................................................................................................ 252 8.6.1 DEFINITIONS ................................................................... 253 8.6.2 FIRST HOMOGENIZATION STEP ........................................................................ 253 8.6.3 SECOND HOMOGENIZATION STEP .................................................................... 255 8.7 NONLINEAR STRESS-STRAIN BEHAVIOR ........................................................................... 256 8.8 CHAPTER SUMMARY .................................................................................................. 258 EL CURRENT AND FUTURE TRENDS .............................................................. 261 9.1 FIBER MIGRATION ...................................................................................................... 261 9.1.1 VOLUME FRACTION VARIATIONS IN INJECTION MOLDED PARTS ............................. 261 9.1.2 SHEAR-INDUCED MIGRATION PHENOMENA ...................................................... 262 9.1.3 MODELING SHEAR-INDUCED MIGRATION .......................................................... 264 9.1.4 APPLICATION TO INJECTION MOLDING .............................................................. 267 9.1.5 FIBER/MATRIX SEPARATION IN SMC AND GMT ............................................... 269 CONTENTS XVII 9.2 DIRECT FIBER SIMULATIONS ......................................................................................... 270 9.2.1 OVERVIEW ...................................................................................................... 270 9.2.2 SIMULATION METHODS ................................................................................... 271 9.2.2.1 REPRESENTING THE FIBERS ............................................................... 271 9.2.2.2 INITIAL CONFIGURATION ..................................................................... 272 9.2.2.3 HYDRODYNAMIC FORCES ................................................................... 272 9.2.2.4 INTERACTION FORCES ........................................................................ 273 9.2.2.5 SOLUTION AND TIME STEPPING ......................................................... 274 9.2.3 APPLICATIONS ................................................................................................. 274 9.2.3.1 PARAMETER IDENTIFICATION ............................................................. 274 9.2.3.2 FULL-PART SIMULATIONS .................................................................... 276 9.2.3.3 NEW ORIENTATION MODELS .............................................................. 278 9.3 CHAPTER SUMMARY .................................................................................................. 278 YY VECTORS AND TENSORS......................................................................... 281 A. 1 DEFINITIONS AND NOTATION ..................................................................................... 281 A.1.1 SCALARS AND VECTORS ...................................................................................... 281 A. 1.2 TENSORS ......................................................................................................... 282 A. 1.3 INDEX NOTATION ............................................................................................. 283 A. 1.4 IDENTITY TENSORS AND THE KRONECKER DELTA ................................................ 283 A. 1.5 TRANSPOSE AND SYMMETRIES ........................................................................ 284 A. 1.6 THE TRACE OF A TENSOR ................................................................................. 284 A.2 ALGEBRAIC OPERATIONS ............................................................................................. 284 A.2.1 ADDITION AND SUBTRACTION .......................................................................... 284 A.2.2 MULTIPLICATION ............................................................................................. 285 A.2.3 MAGNITUDE OF A VECTOR ................................................................................ 286 A.2.4 TENSOR INVERSE ............................................................................................ 286 A.3 COORDINATE TRANSFORMATION .................................................................................. 287 A.4 CONTRACTED NOTATION ............................................................................................. 288 A.4.1 DEFINITIONS ................................................................................................. 288 A.4.2 IDENTITY TENSOR ............................................................................................ 289 A.4.3 OPERATIONS .................................................................................................. 290 A.4.4 FOURTH-ORDER INVERSE ................................................................................. 291 A.4.5 COORDINATE TRANSFORMATION ....................................................................... 291 A.5 CALCULATIONS IN M ATLAB ........................................................................................ 292 A.5.1 VECTORS AND SECOND-ORDER TENSORS ........................................................... 292 A.5.2 FOURTH-ORDER TENSORS ................................................................................. 293 A.6 D AND W IN CYLINDRICAL COORDINATES ..................................................................... 294 XVIII CONTENTS 295 B. 1 JEFFERY S EQUATION FOR PLANAR ORIENTATION AND PLANAR FLOW ................................... 295 B.2 TENSOR FORM OF THE FOLGAR-TUCKER MODEL ............................................................. 296 B.2.1 PRELIMINARIES ................................................................................................ 296 B.2.2 SEPARATING THE JEFFERY AND DIFFUSIVE CONTRIBUTIONS .................................. 297 B.2.3 DIFFUSIVE CONTRIBUTION TO A ........................................................................ 297 B.3 STEADY-STATE ORIENTATION OF RSC AND RPR MODELS ............................................... 298 B.4 MECHANICAL PROPERTY EQUATIONS ............................................................................ 299 B.4.1 ESHELBY STRAIN CONCENTRATION TENSOR ......................................................... 299 B.4.2 ESHELBY DILUTE STIFFNESS MODEL ................................................................... 300 B.4.3 GENERAL STIFFNESS EQUATION .......................................................................... 301 B.4.4 GENERAL EQUATION FOR THERMAL STRESS ......................................................... 301 SYMBOLS AND ABBREVIATIONS ................................................................... 303 REFERENCES .............................................................................................. 309 INDEX ......................................................................................................... 325
any_adam_object	1
author	Tucker, Charles L. III
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author_facet	Tucker, Charles L. III
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discipline	Physik Werkstoffwissenschaften / Fertigungstechnik
format	Book
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id	DE-604.BV047887463
illustrated	Illustrated
indexdate	2024-12-20T19:31:22Z
institution	BVB
institution_GND	(DE-588)1064064051
isbn	9781569908754 1569908753
language	English
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-033269648
oclc_num	1309921049
open_access_boolean
owner	DE-703 DE-210 DE-91 DE-BY-TUM DE-12 DE-384
owner_facet	DE-703 DE-210 DE-91 DE-BY-TUM DE-12 DE-384
physical	XVIII, 334 Seiten Illustrationen, Diagramme 25 cm
publishDate	2022
publishDateSearch	2022
publishDateSort	2022
publisher	Hanser
record_format	marc
spellingShingle	Tucker, Charles L. III Fundamentals of fiber orientation description, measurement and prediction Mechanische Eigenschaft (DE-588)4217961-0 gnd Polymere (DE-588)4046699-1 gnd Faserverstärkter Kunststoff (DE-588)4128805-1 gnd Länge (DE-588)4224141-8 gnd Faserorientierung (DE-588)4332341-8 gnd Rheologische Eigenschaft (DE-588)4366895-1 gnd Messung (DE-588)4038852-9 gnd Mathematisches Modell (DE-588)4114528-8 gnd Faser (DE-588)4127566-4 gnd
subject_GND	(DE-588)4217961-0 (DE-588)4046699-1 (DE-588)4128805-1 (DE-588)4224141-8 (DE-588)4332341-8 (DE-588)4366895-1 (DE-588)4038852-9 (DE-588)4114528-8 (DE-588)4127566-4
title	Fundamentals of fiber orientation description, measurement and prediction
title_auth	Fundamentals of fiber orientation description, measurement and prediction
title_exact_search	Fundamentals of fiber orientation description, measurement and prediction
title_full	Fundamentals of fiber orientation description, measurement and prediction Charles L. Tucker III
title_fullStr	Fundamentals of fiber orientation description, measurement and prediction Charles L. Tucker III
title_full_unstemmed	Fundamentals of fiber orientation description, measurement and prediction Charles L. Tucker III
title_short	Fundamentals of fiber orientation
title_sort	fundamentals of fiber orientation description measurement and prediction
title_sub	description, measurement and prediction
topic	Mechanische Eigenschaft (DE-588)4217961-0 gnd Polymere (DE-588)4046699-1 gnd Faserverstärkter Kunststoff (DE-588)4128805-1 gnd Länge (DE-588)4224141-8 gnd Faserorientierung (DE-588)4332341-8 gnd Rheologische Eigenschaft (DE-588)4366895-1 gnd Messung (DE-588)4038852-9 gnd Mathematisches Modell (DE-588)4114528-8 gnd Faser (DE-588)4127566-4 gnd
topic_facet	Mechanische Eigenschaft Polymere Faserverstärkter Kunststoff Länge Faserorientierung Rheologische Eigenschaft Messung Mathematisches Modell Faser
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=033269648&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
work_keys_str_mv	AT tuckercharlesliii fundamentalsoffiberorientationdescriptionmeasurementandprediction AT hanserpublications fundamentalsoffiberorientationdescriptionmeasurementandprediction

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