Verfügbarkeit: Partitioned solution strategies for electro-thermo-mechanical problems applied to the field-assisted sintering technology

Partitioned solution strategies for electro-thermo-mechanical problems applied to the field-assisted sintering technology:

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Bibliographische Detailangaben
1. Verfasser:	Erbts, Patrick (VerfasserIn)
Format:	Abschlussarbeit Buch
Sprache:	English
Veröffentlicht:	Düsseldorf VDI Verlag GmbH [2016]
Ausgabe:	Als Manuskript gedruckt
Schriftenreihe:	Fortschritt-Berichte VDI. Reihe 18, Mechanik, Bruchmechanik Nr. 345
Schlagworte:	Prozesssimulation Spark Plasma Sintern Hochschulschrift
Online-Zugang:	Inhaltsverzeichnis
Beschreibung:	XVI, 199 Seiten Illustrationen
ISBN:	9783183345182

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MARC


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Datensatz im Suchindex

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adam_text	CONTENTS NOMENCLATURE VIII LISTOFSYM BOLS X ABSTRACT XVI 1 INTRODUCTION 1 1.1 MOTIVATION AND STATE OF THE A R T........................................................... 1 1.1.1 MULTI-PHYSICAL SIMULATION OF FAST ....................................... 1 1.1.2 SOLUTION OF COUPLED PROBLEM S................................................ 3 1.2 PURPOSE AND SCOPE OF THE TH E S IS ........................................................ 5 1.3 OUTLINE OF THE THESIS............................................................................ 6 2 GOVERNING EQUATIONS 8 2.1 BASIC CONTINUUM M ECHANICS.............................................................. 8 2.1.1 KINEMATICS............................................................................... 9 2.1.2 FORCE, STRESS AND BALANCE EQUATIONS ....................................... 14 2.1.3 CONSTITUTIVE RELATIONS AND MATERIAL MODELS .......... 19 2.2 GOVERNING EQUATIONS FOR ELECTRO-THERMO-MECHANICAL COUPLING . . . 22 2.2.1 MECHANICAL FIELD ................................................................... 22 2.2.2 THERMAL FIELD: THE HEAT E Q U A TIO N .......................................... 23 2.2.3 ELECTRIC FIELD: THE CHARGE EQUATION ....................................... 27 2.2.4 SUMMARY OF THE COUPLED INITIAL BOUNDARY VALUE P RO B LE M .. 29 2.3 THERMAL RADIATION............................................................................... 30 2.3.1 BASICS OF THERMAL RADIATION .................................................. 32 2.3.2 RADIATION IN VACUUM .............................................................. 36 2.3.3 RADIATION IN PARTICIPATING M E D IA .......................................... 39 2.3.4 COUPLING TO OTHER F IE LD S ........................................................ 41 3 NUMERICAL METHODS 45 3.1 VARIATIONAL FORMULATION AND LINEARIZATION ....................................... 45 3.1.1 MECHANICAL FIELD ................................................................... 46 3.1.2 THERMAL F I E L D ......................................................................... 48 3.1.3 ELECTRIC FIE LD ............................................................................ 50 3.2 FINITE ELEMENT M E TH O D ...................................................................... 50 3.2.1 SPATIALDISCRETIZATIONWITHTHEISOPARAMETRICCONCEPT . 51 3.2.2 DISCRETIZATION OF THE WEAK FO RM S .......................................... 54 3.2.3 HIGH-ORDER FINITE ELEMENTS ..................................................... 60 3.2.4 NUMERICAL INTEGRATION........................................................... 63 3.2.5 SOLUTION OF THE DISCRETE P RO B LE M .......................................... 64 3.3 NUMERICAL SOLUTION OF THE S U R R O D ^ .......... 66 3.3.1 BASIC CONCEPTS AND FINITE VOLUME METHOD ........... 66 3.3.2 BUOYANCY-DRIVEN F LO W ........................................................... 68 3.3.3 SOLUTION ALGORITHM ................................................................ 70 3.4 NUMERICAL RADIATIVE HEAT TRANSFER ..................................................... 71 3.4.1 VIEW FACTOR RADIATION.............................................................. 71 3.4.2 METHOD OF SPHERICAL H A RM O N IC S .......................................... 72 3.4.3 FINITE VOLUME DISCRETE ORDINATE METHOD ........... 74 3.4.4 BENCHMARK ANALYSIS FOR PARTICIPATING MEDIA ......... 75 3.4.5 REMARK ON NUMERICAL RADIATIVE HEAT TRANSFER IN A COUPLED MULTI-FIELD ANALYSIS ................................................................ 77 4 SOLUTION OF COUPLED PROBLEMS 79 4.1 COUPLING ALGORITHMS AN INTRODUCTION............................................. 79 4.1.1 MONOLITHIC FO RM U LATIO N ........................................................ 80 4.1.2 PARTITIONED FORM ULATION........................................................ 81 4.2 CONVERGENCE ACCEELERATION AND STABILIZATION .................................... 87 4.2.1 VECTOR PREDICTION ................................................................... 87 4.2.2 VECTOR SEQUENCE INTERPRETATION............................................. 89 4.2.3 AITKEN AND RELATED RELAXATION METHODS ............................... 90 4.2.4 VECTOR SEQUENCE ACCELERATION M ETHODS.................................. 97 4.2.5 NEWTON AND QUASI-NEWTON METHODS .................................... 99 4.2.6 CONVERGENCE AND PERFORMANCE S T U D Y .................................... 106 4.3 CONSISTENT FIELD TR A N S F E R...................................................................... 109 4.3.1 INTERPOLATION CONCEPTS..............................................................109 4.3.2 DYNAMIC MESH U P D A TE ..............................................................120 4.4 FURTHER IM PROVEM ENTS.........................................................................122 4.4.1 TEMPORAL DISCRETIZATION...........................................................122 4.4.2 PARALLEL SIM ULATION ................................................................... 123 4.5 GLOBAL PARTITIONED SOLUTION STRATEGIES ................................................123 4.5.1 IMPLEMENTATION.........................................................................125 4.5.2 VOLUME-COUPLED PROBLEM: NONLINEAR THERMOELASTICITY .... 127 4.5.3 COUPLED THERMAL-RADIATION A N A LY SIS ....................................... 135 4.5.4 THREE OR MORE COUPLED N E L D S .................................................. 143 5 NUMERICAL EXAMPLES 145 5.1 ELECTRO-THERMO-MECHANICALLY COUPLED P RO B LEM ..................................145 5.1.1 MODEL PROBLEM: BIMETALLIC B E A M .............................................145 5.1.2 PARTITIONED COUPLING S T A T E G Y .................................................. 147 5.1.3 R ESULTS.......................................................................................148 5.2 MULTI-FIELD PROBLEM WITH THERMAL RA D IA TIO N ....................................... 151 5.2.1 MODEL PROBLEM: BIMETALLIC BEAM COUPLED WITH RADIATION FIELD 151 5.2.2 PARTITIONED COUPLING STRATEG Y .................................................. 152 5.2.3 RESULTS * 153 5.3 SIMULATING THE FAST PROCESS................................................................157 5.3.1 TEMPERATURE EVOLUTION..............................................................157 5.3.2 CONSOLIDATION OF COPPER P O W D E R.............................................166 6 CONCLUSIONS AND OUTLOOK 171 A APPENDIX 174 .1 VIEW FACTOR RA D IA TIO N ........................................................................... 174 .2 VECTOR SEQUENCE ACCELERATION M E TH O D S................................................177 .2.1 W YM S E-ALGORITHM...................................................................177 .2.2 BREZINSKIS^-ALGORITHM ............................................................. 178 .2.3 HZ-ALGORITHM ............................................................................179 .3 BARYCENTRIC COORDINATES.........................................................................181 .4 CONSTITUTIVE MODEL FOR COPPER POW DER ............................................... 183 .5 UNIT S Y S TE M ......................................................................................... 185 BIBLIOGRAPHY 186
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spelling	Erbts, Patrick (DE-588)1110992297 aut Partitioned solution strategies for electro-thermo-mechanical problems applied to the field-assisted sintering technology M.Sc. Dipl.-Ing. (FH) Patrick Erbts, Hamburg Als Manuskript gedruckt Düsseldorf VDI Verlag GmbH [2016] © 2016 XVI, 199 Seiten Illustrationen txt rdacontent n rdamedia nc rdacarrier Fortschritt-Berichte VDI. Reihe 18, Mechanik, Bruchmechanik Nr. 345 Dissertation Technische Universität Hamburg 2016 Prozesssimulation (DE-588)4176077-3 gnd rswk-swf Spark Plasma Sintern (DE-588)1117818721 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Spark Plasma Sintern (DE-588)1117818721 s Prozesssimulation (DE-588)4176077-3 s DE-604 Fortschritt-Berichte VDI. Reihe 18, Mechanik, Bruchmechanik Nr. 345 (DE-604)BV001902156 345 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=029132986&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Erbts, Patrick Partitioned solution strategies for electro-thermo-mechanical problems applied to the field-assisted sintering technology Fortschritt-Berichte VDI. Reihe 18, Mechanik, Bruchmechanik Prozesssimulation (DE-588)4176077-3 gnd Spark Plasma Sintern (DE-588)1117818721 gnd
subject_GND	(DE-588)4176077-3 (DE-588)1117818721 (DE-588)4113937-9
title	Partitioned solution strategies for electro-thermo-mechanical problems applied to the field-assisted sintering technology
title_auth	Partitioned solution strategies for electro-thermo-mechanical problems applied to the field-assisted sintering technology
title_exact_search	Partitioned solution strategies for electro-thermo-mechanical problems applied to the field-assisted sintering technology
title_full	Partitioned solution strategies for electro-thermo-mechanical problems applied to the field-assisted sintering technology M.Sc. Dipl.-Ing. (FH) Patrick Erbts, Hamburg
title_fullStr	Partitioned solution strategies for electro-thermo-mechanical problems applied to the field-assisted sintering technology M.Sc. Dipl.-Ing. (FH) Patrick Erbts, Hamburg
title_full_unstemmed	Partitioned solution strategies for electro-thermo-mechanical problems applied to the field-assisted sintering technology M.Sc. Dipl.-Ing. (FH) Patrick Erbts, Hamburg
title_short	Partitioned solution strategies for electro-thermo-mechanical problems applied to the field-assisted sintering technology
title_sort	partitioned solution strategies for electro thermo mechanical problems applied to the field assisted sintering technology
topic	Prozesssimulation (DE-588)4176077-3 gnd Spark Plasma Sintern (DE-588)1117818721 gnd
topic_facet	Prozesssimulation Spark Plasma Sintern Hochschulschrift
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=029132986&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
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work_keys_str_mv	AT erbtspatrick partitionedsolutionstrategiesforelectrothermomechanicalproblemsappliedtothefieldassistedsinteringtechnology

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