Holdings: Extrusion of polymers

Extrusion of polymers: theory and practice

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Bibliographic Details
Main Author:	Chung, Chan I. 1939- (Author)
Format:	Book
Language:	English
Published:	Munich Hanser Publishers [2019] Cincinnati Hanser Publications
Edition:	3rd edition
Subjects:	Kunststoff Extrudieren coextrusion extensional flow extruder extrusion extrusion die Kunststoffe Kunststoffverarbeitung melt flow plastics plastics processing polymers rheology screw design single screw solid conveying twin screw viscoelastic PLAS2019
Online Access:	Inhaltsverzeichnis
Physical Description:	XXIV, 485 Seiten Illustrationen, Diagramme 25 cm
ISBN:	9781569906095 1569906092

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264		1	\|a Cincinnati \|b Hanser Publications
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300			\|a XXIV, 485 Seiten \|b Illustrationen, Diagramme \|c 25 cm
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653			\|a Kunststoffverarbeitung
653			\|a melt flow
653			\|a plastics
653			\|a plastics processing
653			\|a polymers
653			\|a rheology
653			\|a screw design
653			\|a single screw
653			\|a solid conveying
653			\|a twin screw
653			\|a viscoelastic
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adam_text	CONTENTS ACKNOWLEDGMENTS ................................................................................. VII ACKNOWLEDGMENTS FOR THE SECOND EDITION ......................................... IX ACKNOWLEDGMENTS FOR THE THIRD EDITION ............................................. XI PREFACE ..................................................................................................... XIII ABOUT THE AUTHOR ................................................................................... XV 1 INTRODUCTION .................................................................................... 1 1.1 POLYMER PROCESSING ................................................................................... 1 1.2 POLYMER EXTRUSION ..................................................................................... 2 1.3 TYPES OF EXTRUDERS .................................................................................... 4 1.3.1 SINGLE-SCREW EXTRUDERS ................................................................. 4 1.3.1.1 OVERVIEW OF SINGLE-SCREW DESIGN TECHNOLOGY .............. 8 1.3.2 TWIN-SCREW EXTRUDERS ................................................................... 9 1.3.2.1 OVERVIEW OF INTERMESHING CO-ROTATING TWIN-SCREW DESIGN TECHNOLOGY .................................... 12 1.4 SCALE-UP OF SINGLE-SCREW AND TWIN-SCREW EXTRUDERS ............................. 14 2 PHYSICAL DESCRIPTION OF SINGLE-SCREW EXTRUSION ....................... 17 2.1 OVERALL FUNCTIONS OF A SINGLE-SCREW EXTRUDER .......................................... 17 2.2 FEEDING FUNCTION ....................................................................................... 23 2.3 SOLID CONVEYING FUNCTION ......................................................................... 25 2.3.1 INITIAL FORWARDING AND COMPACTION OF PELLETS .............................. 25 2.3.2 SOLID BED CONVEYING ..................................................................... 27 2.4 MELTING FUNCTION ....................................................................................... 30 2.4.1 DISSIPATIVE MELTING ....................................................................... 31 2.4.2 CONDUCTION MELTING ....................................................................... 33 2.5 METERING FUNCTION ..................................................................................... 33 2.6 MELT QUALITY AND MELT STABILITY ................................................................. 36 2.6.1 DEFINITION OF MELT QUALITY AND MELT STABILITY ............................... 36 2.6.2 MELT PRESSURE ................................................................................. 37 2.6.3 MELT TEMPERATURE ........................................................................... 39 2.6.4 MIXING ............................................................................................. 41 2.6.5 EFFECTIVE RESIDENCE TIME AND RESIDENCE TIME DISTRIBUTION ........................................................................... 43 2.7 THERMODYNAMIC ANALYSIS OF POLYMER EXTRUSION .................................... 45 2.8 COOLING ....................................................................................................... 49 2.8.1 BARREL COOLING ............................................................................... 49 2.8.2 SCREW COOLING ................................................................................. 49 2.9 MOTOR POWER-DRIVE TORQUE RELATIONSHIP, SCREW TORQUE STRENGTH, AND TYPES OF MOTORS ................................................................................... 50 2.9.1 MOTOR POWER-DRIVE TORQUE RELATIONSHIP ...................................... 50 2.9.2 SCREW TORQUE STRENGTH ................................................................. 52 2.9.3 TYPES OF MOTORS ............................................................................. 53 2.10 WEAR ............................................................................................................. 54 2.11 EXTRUDER SIZE AND INSTRUMENTATION ......................................................... 55 2.11.1 EXTRUDER SIZE ................................................................................. 55 2.11.2 INSTRUMENTATION ............................................................................. 55 2.12 RUBBING MECHANISMS OF SOLID POLYMER ON METAL SURFACE ...................... 56 2.13 RELATIONSHIPS BETWEEN SCREW CHANNEL GEOMETRIES ................................ 58 2.14 VARIABLES CONTROLLING POLYMER EXTRUSION ............................................... 59 3 FUNDAMENTALS OF POLYMERS ........................................................... 63 3.1 INTRODUCTION TO POLYMERS ............................................................................ 63 3.1.1 POLYMER MOLECULES ......................................................................... 63 3.1.2 POLYMERIZATION REACTION AND COMMON POLYMERS ........................ 65 3.1.2.1 CHAIN OR ADDITION POLYMERIZATION ................................ 65 3.1.2.2 STEP OR CONDENSATION POLYMERIZATION .......................... 66 3.1.3 CLASSIFICATION OF POLYMERS ............................................................. 68 3.1.3.1 THERMOPLASTIC AND THERMOSET ...................................... 68 3.1.3.2 HOMOPOLYMER, COPOLYMER, BLOCK COPOLYMER, AND GRAFT COPOLYMERS ........................................................... 69 3.1.3.3 LINEAR POLYMER, BRANCHED POLYMER, AND CROSSLINKED POLYMER ..................................................... 69 3.1.3.4 AMORPHOUS POLYMER AND CRYSTALLINE POLYMER ............ 71 3.1.3.5 CHEMICAL NAMES ............................................................. 71 3.2 AVERAGE MOLECULAR WEIGHTS AND MOLECULAR WEIGHT DISTRIBUTION .......... 72 3.2.1 AVERAGE MOLECULAR WEIGHTS ......................................................... 72 3.2.1.1 NUMBER AVERAGE MOLECULAR WEIGHT, M N ........................ 72 3.2.1.2 WEIGHT AVERAGE MOLECULAR WEIGHT, M W ........................ 73 3.2.1.3 Z-AVERAGE MOLECULAR WEIGHT, M Z .................................. 73 3.2.1.4 VISCOSITY AVERAGE MOLECULAR WEIGHT, M V ...................... 73 3.2.2 MOLECULAR WEIGHT DISTRIBUTION ...................................................... 74 3.2.3 MEASUREMENTS OF AVERAGE MOLECULAR WEIGHTS ............................ 75 3.2.3.1 ABSOLUTE METHODS ........................................................... 76 3.2.3.2 RELATIVE METHODS ........................................................... 79 3.3 MOLECULAR STRUCTURE AND MORPHOLOGY OF POLYMER SOLID .......................... 86 3.3.1 MOLECULAR STRUCTURE ....................................................................... 86 3.3.1.1 CONFORMATION ................................................................. 86 3.3.1.2 CONFIGURATION ................................................................. 87 3.3.2 MORPHOLOGY OF POLYMER SOLID ....................................................... 89 3.3.2.1 MOLECULAR ORIENTATION ................................................... 89 3.3.2.2 AMORPHOUS POLYMERS ................................................... 90 3.3.2.3 CRYSTALLINE POLYMERS ..................................................... 91 3.3.3 GLASS TRANSITION AND MELTING ....................................................... 100 3.3.4 PHASE SEPARATION IN BLENDS, BLOCK COPOLYMERS, AND GRAFT COPOLYMERS ................................................................... 100 3.4 EFFECTS OF PROCESSING VARIABLES ON MORPHOLOGY ...................................... 102 3.4.1 STRESS AND STRAIN ........................................................................... 102 3.4.2 TEMPERATURE ................................................................................... 103 3.4.2.1 THERMODYNAMICS OF CRYSTALLIZATION .............................. 104 3.4.2.2 NUCLEATION AND GROWTH OF NUCLEUS ................................ 105 3.4.2.3 CRYSTALLIZATION RATE AND CRYSTALLINITY .......................... 106 3.4.2.4 LAMELLAR THICKNESS AS A FUNCTION OF CRYSTALLIZATION TEMPERATURE ................................................................... 107 3.4.2.5 MELTING POINT OF LAMELLA AS A FUNCTION OF THICKNESS .. 109 3.4.2.6 COOLING RATE ................................................................... 109 3.4.3 PRESSURE ......................................................................................... 110 3.4.4 ANNEALING ....................................................................................... ILL 3.5 MELT RHEOLOGY ............................................................................................. ILL 3.5.1 TYPES OF FLUIDS ................................................................................ 112 3.5.1.1 VISCOUS FLUID, VISCOELASTIC FLUID, AND BINGHAM FLUID 112 3.5.1.2 TYPES OF VISCOUS FLUIDS .................................................. 115 3.5.1.3 BEHAVIOR OF VISCOELASTIC FLUIDS ...................................... 116 3.5.2 RHEOLOGICAL PROPERTIES OF POLYMER MELTS ...................................... 117 3.5.2.1 GENERAL RHEOLOGICAL BEHAVIOR OF POLYMER MELTS .......... 117 3.5.2.2 MELT VISCOSITY AS A FUNCTION OF SHEAR RATE OR SHEAR STRESS ................................................................... 118 3.5.2.3 MELT VISCOSITY AS A FUNCTION OF TEMPERATURE .............. 125 3.5.2.4 MELT VISCOSITY AS A FUNCTION OF BOTH TEMPERATURE AND SHEAR STRESS OR SHEAR RATE ...................................... 129 3.5.2.5 MELT VISCOSITY AS A FUNCTION OF PRESSURE ..................... 131 3.5.3 MEASUREMENT OF MELT RHEOLOGICAL PROPERTIES .............................. 132 3.5.3.1 CAPILLARY RHEOMETER ..................................................... 133 3.5.3.2 CONE-AND-PLATE RHEOMETER ............................................ 139 3.5.4 MELT FLOW INDEX ............................................................................. 145 3.5.5 EXTENSIONAL FLOW AND TENSILE VISCOSITY ........................................ 149 3.5.6 FLOW INSTABILITY ............................................................................. 150 3.5.6.1 FLOW INSTABILITY IN SHEAR FLOW .................................. 151 3.5.6.2 FLOW INSTABILITY IN EXTENSIONAL FLOW ............................. 156 3.5.7 FLOW THROUGH SIMPLE DIES ............................................................. 157 3.5.7.1 CIRCULAR TUBE ................................................................ 157 3.57.2 SLIT ................................................................................... 158 3.5.8 ELASTIC MEMORY EFFECT ON EXTRUDATE SHAPE .................................. 165 3.5.9 EFFECTS OF MOLECULAR PARAMETERS ON MELT RHEOLOGICAL AND PHYSICAL PROPERTIES ....................................................................... 166 3.5.9.1 MOLECULAR WEIGHT (MW) ............................................... 166 3.5.9.2 MOLECULAR WEIGHT DISTRIBUTION (MWD) ........................ 167 3.5.9.3 MOLECULAR STRUCTURE ....................................................... 168 3.5.10 RELATIONSHIPS BETWEEN MELT RHEOLOGICAL PROPERTIES AND PROCESSABILITY IN EXTRUSION ........................................................... 170 3.5.10.1 VISCOSITY ......................................................................... 170 3.5.10.2 SHEAR SENSITIVITY OF VISCOSITY ...................................... 170 3.5.10.3 TEMPERATURE SENSITIVITY OF VISCOSITY ............................ 170 3.5.10.4 ELASTICITY ......................................................................... 171 3.6 OTHER POLYMER PROPERTIES AND FEED CHARACTERISTICS RELEVANT TO EXTRUSION ..................................................................................................... 171 3.6.1 THERMODYNAMIC PROPERTIES: SPECIFIC HEAT, ENTHALPY, AND HEAT OF FUSION ......................................................................... 171 3.6.2 FLOW TEMPERATURE AND MECHANICAL MELTING ................................ 174 3.6.3 THERMO/MECHANICAL STABILITY ....................................................... 175 3.6.4 EXTERNAL FRICTION AND INTERNAL FRICTION ........................................ 176 3.6.4.1 EXTERNAL FRICTION ........................................................... 176 3.6.4.2 INTERNAL FRICTION ............................................................. 178 3.6.5 BULK DENSITY AND COMPRESSIBILITY OF FEED .................................. 178 3.6.6 MELT DENSITY ................................................................................... 180 4 THEORIES OF SINGLE-SCREW EXTRUSION ............................................. 185 4.1 THREE BASIC FUNCTIONS OF A SINGLE-SCREW EXTRUDER .................................. 185 4.2 SOLID CONVEYING MODELS ............................................................................. 187 4.2.1 FRICTIONAL FORCE AND VISCOUS SHEAR FORCE .................................... 187 4.2.2 OUTPUT RATE IN TERMS OF THE SOLID CONVEYING ANGLE .................. 190 4.2.3 ANALYSIS OF THE SOLID CONVEYING ANGLE ........................................ 195 4.2.4 SOLID CONVEYING MODEL BASED ON VISCOSITY .................................. 198 4.2.5 SOLID CONVEYING MODEL BASED ON FRICTION .................................... 212 4.2.5.1 ISOTROPIC PRESSURE IN THE SOLID BED .............................. 212 4.2.5.2 ANISOTROPIC PRESSURE IN SOLID BED ................................ 219 4.2.6 ELASTIC SOLID BED ............................................................................. 220 4.3 MELTING MODELS ........................................................................................... 221 4.3.1 DISSIPATIVE MELTING MODELS ............................................................ 221 4.3.1.1 NUMERICAL MELTING MODELS ............................................. 225 4.3.1.2 ANALYTICAL MELTING MODEL .............................................. 233 4.3.1.3 SOLID BED PROFILE AND MELTING CAPACITY ........................ 271 4.3.2 CONDUCTION MELTING MODEL ........................................................... 273 4.4 METERING MODELS ......................................................................................... 279 4.4.1 ISOTHERMAL NEWTONIAN FLUID MODEL .............................................. 282 4.4.1.1 ONE-DIMENSIONAL FLOW BETWEEN PARALLEL PLATES .......... 283 4.4.1.2 TWO-DIMENSIONAL FLOW THROUGH RECTANGULAR CHANNEL 289 4.4.1.3 FLOW THROUGH HELICAL CHANNEL ...................................... 292 4.4.2 ISOTHERMAL POWER-LAW FLUID MODEL .............................................. 293 4.5 EFFECTS OF FLIGHT CLEARANCE ......................................................................... 299 4.5.1 SOLID CONVEYING MODELS ............................................................... 300 4.5.2 MELTING MODELS ............................................................................... 300 4.5.3 METERING MODELS ........................................................................... 301 4.6 COMPREHENSIVE EXTRUSION MODEL ............................................................. 302 4.6.1 COMPUTER SIMULATION ..................................................................... 302 4.6.2 OUTPUT RATE ..................................................................................... 303 4.6.3 MOTOR POWER ................................................................................... 303 5 SCREW DESIGN, HIGH PERFORMANCE SCREWS, AND SCALE-UP ......... 309 5.1 SCREW DESIGN ............................................................................................. 309 5.1.1 GENERAL SCREW DESIGN GUIDELINES ............................................... 309 5.1.2 SCIENTIFIC SCREW DESIGN METHOD ................................................... 311 5.2 HIGH PERFORMANCE SCREWS ......................................................................... 321 5.2.1 FLOW RESTRICTION/MIXING TYPE ...................................................... 322 5.2.2 BARRIER-TO-MELT TYPE ..................................................................... 332 5.2.3 BARRIER BETWEEN SOLID BED AND MELT POOL TYPE ............................ 334 5.2.4 SOLID/MELT MIXING TYPE ................................................................ 341 5.3 MOTOR POWER AS A FUNCTION OF SCREW SPEED AND SIZE .............................. 343 5.4 MELT TEMPERATURE AS A FUNCTION OF SCREW SPEED AND SIZE .................... 347 5.5 SCALE-UP METHODS ....................................................................................... 352 5.5.1 COMMON SCALE-UP METHOD ........................................................... 353 5.5.2 BALANCED SCALE-UP METHOD BASED ON MELTING CAPACITY .............. 356 5.5.3 SCALE-UP METHOD FOR HEAT OR SHEAR SENSITIVE POLYMERS ............ 362 6 GEAR PUMP, STATIC MIXER, AND DYNAMIC MIXER ........................... 365 6.1 GEAR PUMP ................................................................................................. 365 6.2 STATIC MIXER ................................................................................................. 367 6.3 DYNAMIC MIXER ........................................................................................... 369 7 DIE DESIGNS ...................................................................................... 373 7.1 INTRODUCTION ............................................................................................... 373 7.2 AN ANALYTICAL MODEL FOR COAT-HANGER DIES .............................................. 374 7.2.1 DIE PRESSURE ................................................................................... 378 7.2.2 MANIFOLD INLET SIZE ......................................................................... 379 7.2.3 MANIFOLD PROFILE ............................................................................. 381 7.3 FILM AND SHEET DIES ................................................................................... 383 7.3.1 INTRODUCTION ................................................................................... 383 7.3.2 DIE TYPES ....................................................................................... 383 7.3.3 DIE BODY MATERIALS ......................................................................... 385 7.3.4 MANIFOLD DESIGNS ........................................................................... 386 7.3.5 DECKLING SYSTEMS ........................................................................... 387 7.3.6 TEMPERATURE CONTROL ..................................................................... 389 7.3.7 ADJUSTMENT SYSTEMS ..................................................................... 389 7.3.8 DIE OPERATING INFORMATION ........................................................... 393 7.3.9 SAFETY ............................................................................................... 394 7.4 COEXTRUSION DIES FOR MULTILAYER FLAT FILMS AND SHEETS ........................... 395 7.4.1 OVERVIEW ......................................................................................... 395 7.4.2 INTRODUCTION ................................................................................... 396 7.4.3 OVERVIEW OF GENERAL COEXTRUSION EQUIPMENT ............................ 398 7.4.3.1 ADAPTER ........................................................................... 399 7.4.3.2 FEEDBLOCK ....................................................................... 402 7.4.3.3 DIE ................................................................................... 403 7.4.4 FEEDBLOCK DESIGNS ......................................................................... 404 7.4.5 COEXTRUSION SYSTEMS FOR FLAT FILMS AND SHEETS .......................... 407 7.4.6 LAYER INSTABILITIES OR MELT DISTURBANCES ...................................... 407 7.4.7 SUMMARY ....................................................................................... 411 8 VISCOELASTIC EFFECTS IN MELT FLOW ................................................. 413 8.1 INTRODUCTION ................................................................................................ 413 8.2 COEXTRUSION ................................................................................................. 413 8.3 VISCOUS FLOW EFFECTS ................................................................................. 415 8.4 ELASTICALLY DRIVEN FLOWS ........................................................................... 418 8.4.1 BACKGROUND AND THEORY ............................................................... 418 8.4.2 NUMERICAL SIMULATIONS ................................................................. 419 8.4.3 EXPERIMENTAL PROCEDURES ............................................................. 422 8.4.4 COMPARISON OF EXPERIMENTAL AND NUMERICAL RESULTS ................ 424 8.5 VISCOELASTIC FLOWS .................................................................................... 433 9 SPECIAL SINGLE-SCREW EXTRUDER WITH CHANNELS ON THE BARREL ... 437 9.1 INTRODUCTION ............................................................................................... 437 9.2 HELIBAR OR EXTRUDER WITH CHANNELED BARREL ........................................ 438 9.3 PERFORMANCE OF AN EXTRUDER WITH CHANNELED BARREL .............................. 440 10 PHYSICAL DESCRIPTION OF TWIN-SCREW EXTRUDERS ........................... 449 10.1 INTRODUCTION ............................................................................................... 449 10.1.1 METERED FEEDING FOR INTERMESHING TWIN-SCREW EXTRUDERS ........ 451 10.2 INTERMESHING CO-ROTATING TWIN-SCREW EXTRUDER .................................... 452 10.2.1 CONVEYING ELEMENTS ..................................................................... 454 10.2.2 KNEADING BLOCKS ........................................................................... 455 10.2.3 MIXING BLOCKS ................................................................................. 457 10.2.4 SEALING BLOCKS ............................................................................... 457 10.2.5 SUMMARY OF THE FUNCTIONS AND THE DESIGN PARAMETERS OF VARIOUS SCREW ELEMENTS OF INTERMESHING CO-ROTATING TWIN-SCREW EXTRUDERS ................................................................... 458 10.3 INTERMESHING COUNTER-ROTATING TWIN-SCREW EXTRUDER ............................ 459 10.4 SCALE-UP OF INTERMESHING TWIN-SCREW EXTRUDERS .................................... 461 10.5 NON-INTERMESHING COUNTER-ROTATING TWIN-SCREW EXTRUDER .................... 462 APPENDIX: UNIVERSAL CONSTANTS, UNIT CONVERSION FACTORS, AND PREFIXES ............................................................................................ 465 NOMENCLATURE ........................................................................................ 467 AUTHOR INDEX ............................................................................................ 475 SUBJECT INDEX .......................................................................................... 481
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author	Chung, Chan I. 1939-
author_GND	(DE-588)122131738
author_facet	Chung, Chan I. 1939-
author_role	aut
author_sort	Chung, Chan I. 1939-
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discipline	Chemie / Pharmazie Werkstoffwissenschaften Chemie-Ingenieurwesen Werkstoffwissenschaften / Fertigungstechnik
edition	3rd edition
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id	DE-604.BV046179058
illustrated	Illustrated
indexdate	2024-07-10T08:37:26Z
institution	BVB
institution_GND	(DE-588)1064064051
isbn	9781569906095 1569906092
language	English
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-031558625
oclc_num	1126561000
open_access_boolean
owner	DE-703 DE-91G DE-BY-TUM DE-210 DE-12 DE-1050 DE-29T
owner_facet	DE-703 DE-91G DE-BY-TUM DE-210 DE-12 DE-1050 DE-29T
physical	XXIV, 485 Seiten Illustrationen, Diagramme 25 cm
publishDate	2019
publishDateSearch	2019
publishDateSort	2019
publisher	Hanser Publishers Hanser Publications
record_format	marc
spelling	Chung, Chan I. 1939- Verfasser (DE-588)122131738 aut Extrusion of polymers theory and practice Chan I. Chung 3rd edition Munich Hanser Publishers [2019] Cincinnati Hanser Publications © 2019 XXIV, 485 Seiten Illustrationen, Diagramme 25 cm txt rdacontent n rdamedia nc rdacarrier Kunststoff (DE-588)4033676-1 gnd rswk-swf Extrudieren (DE-588)4071089-0 gnd rswk-swf coextrusion extensional flow extruder Extrudieren extrusion extrusion die Kunststoffe Kunststoffverarbeitung melt flow plastics plastics processing polymers rheology screw design single screw solid conveying twin screw viscoelastic PLAS2019 Extrudieren (DE-588)4071089-0 s DE-604 Kunststoff (DE-588)4033676-1 s Hanser Publications (DE-588)1064064051 pbl Erscheint auch als Online-Ausgabe 978-1-56990-738-2 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=031558625&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Chung, Chan I. 1939- Extrusion of polymers theory and practice Kunststoff (DE-588)4033676-1 gnd Extrudieren (DE-588)4071089-0 gnd
subject_GND	(DE-588)4033676-1 (DE-588)4071089-0
title	Extrusion of polymers theory and practice
title_auth	Extrusion of polymers theory and practice
title_exact_search	Extrusion of polymers theory and practice
title_full	Extrusion of polymers theory and practice Chan I. Chung
title_fullStr	Extrusion of polymers theory and practice Chan I. Chung
title_full_unstemmed	Extrusion of polymers theory and practice Chan I. Chung
title_short	Extrusion of polymers
title_sort	extrusion of polymers theory and practice
title_sub	theory and practice
topic	Kunststoff (DE-588)4033676-1 gnd Extrudieren (DE-588)4071089-0 gnd
topic_facet	Kunststoff Extrudieren
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=031558625&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
work_keys_str_mv	AT chungchani extrusionofpolymerstheoryandpractice AT hanserpublications extrusionofpolymerstheoryandpractice

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