Electro-thermo-mechanical modeling of field assisted sintering technology: experiments, constitutive modeling and finite element analysis
Saved in:
| Main Author: | |
|---|---|
| Format: | Thesis Book |
| Language: | English |
| Published: |
Clausthal-Zellerfeld
Papierflieger
2015
|
| Edition: | 1. Aufl. |
| Series: | Berichte des Instituts für Technische Mechanik / TU Clausthal
2015,1 |
| Subjects: | |
| Online Access: | Volltext Inhaltsverzeichnis |
| Physical Description: | V, 282 S. Ill., graph. Darst. |
| ISBN: | 9783869484419 |
Staff View
MARC
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| 245 | 1 | 0 | |a Electro-thermo-mechanical modeling of field assisted sintering technology |b experiments, constitutive modeling and finite element analysis |c by Steffen Rothe |
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| 490 | 1 | |a Berichte des Instituts für Technische Mechanik / TU Clausthal |v 2015,1 | |
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Record in the Search Index
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| adam_text | CONTENTS
1 INTRODUCTION 1
1.1 FIELD ASSISTED SINTERING PROCESS 1
1.2 CHALLENGES IN MODELING THE FAST-PROCESS 3
1.3 LITERATURE REVIEW 4
1.3.1 THERMO-ELECTRICAL MODELING 4
1.3.2 THERMO-ELECTRO-MECHANICAL MODELING 5
1.4 SCOPE OF THESIS 7
1.5 OUTLINE 8
2 EXPERIMENTAL OBSERVATIONS 11
2.1 FAST-PROCESS ^11
2.2 EXPERIMENTAL SETUP. 12
2.3 COPPER POWDER 17
2.4 UNIAXIAL COMPRESSION EXPERIMENTS FOR DETERMINING THE RADIAL STRESSES
18
2.4.1 CALIBRATION EXPERIMENTS 19
2.4.2 DATA EVALUATION 21
2.4.3 CONVERSION PROCEDURE OF CIRCUMFERENTIAL STRAINS INTO RADIAL
STRESSES 22
2.4.4 UNIAXIAL POWDER COMPACTION EXPERIMENTS 24
2.4.5 MULTI-STEP LOADING/UNLOADING EXPERIMENTS 26
2.4.6 A MODEL FOR THE RADIAL STRESS COMPUTATION 30
2.5 THERMO-MECHANICAL BEHAVIOR OF COPPER POWDER 34
2.5.1 CALIBRATION EXPERIMENTS 35
2.5.2 FORCE-RATE EXPERIMENTS 36
2.5.3 TEMPERATURE-RATE EXPERIMENTS 39
2.5.4 CREEP EXPERIMENTS AT DIFFERENT TEMPERATURES 41
2.5.5 DILATOMETER EXPERIMENTS 44
2.5.6 TENSION TESTS WITH SINTERED SAMPLES 45
2.6 THERMO-ELECTRICAL PROPERTIES OF COPPER POWDER 50
2.6.1 HEAT CAPACITY 51
2.6.2 THERMAL CONDUCTIVITY 51
2.6.3 ELECTRICAL CONDUCTIVITY 53
2.7 THERMO-ELECTRICAL PROPERTIES OF GRAPHITE 55
2.7.1 THERMAL EXPANSION 56
V
HTTP://D-NB.INFO/1069548359
2.7.2 HEAT CAPACITY 56
2.7.3 THERMAL CONDUCTIVITY *. 57
2.7.4 ELECTRICAL CONDUCTIVITY 57
2.8 ELECTRICAL CONTACT RESISTANCE 58
3 FUNDAMENTALS OF CONTINUUM MECHANICS 63
3.1 KINEMATICS 64
3.1.1 CONFIGURATION AND MOTION 64
3.1.2 DEFORMATION GRADIENT 66
3.1.3 STRAIN TENSORS 68
3.1.4 DEFORMATION VELOCITIES 69
3.2 STRESS TENSORS, HEAT FLUX AND CURRENT DENSITY 70
3.3 THERMO-ELECTRO-MECHANICAL BALANCE EQUATIONS 72
3.3.1 BALANCE OF MASS 72
3.3.2 BALANCE OF LINEAR MOMENTUM 73
3.3.3 BALANCE OF ANGULAR MOMENTUM 74
3.3.4 BALANCE EQUATIONS OF ELECTRODYNAMICS - MAXWELL EQUATIONS 74
3.3.5 ENERGY BALANCE 81
3.3.6 PRINCIPLE OF IRREVERSIBILITY 83
3.4 ISSUES OF CONSTITUTIVE MODELING 84
3.4.1 OBJECTIVITY 85
3.4.2 DUAL VARIABLES 86
4 MATERIAL MODEL 89
4.1 OVERVIEW ABOUT CONSTITUTIVE MODELS FOR SINTERING 89
- 4.2 GENERAL MATERIAL BEHAVIOR OF COPPER POWDER DURING SINTERING ... 91
4.3 MOTIVATION 92
4.3.1 TEMPERATURE-DEPENDENCE 96
4.4 TEMPERATURE-DEPENDENT YIELD FUNCTION 96
4.4.1 TEMPERATURE-DEPENDENCE 100
4.4.2 HYDROSTATIC YIELD STRESS EVOLUTION 103
4.5 MULTIPLICATIVE DECOMPOSITION 106
4.6 LARGE STRAIN THERMO-VISCOPLASTICITY FOR COPPER POWDER 115
4.6.1 STRUCTURE OF FREE-ENERGY 115
4.6.2 EVALUATION OF DISSIPATION INEQUALITY 116
4.6.3 FORMULATION OF EVOLUTION EQUATIONS 119
4.6.4 ELASTICITY RELATION 128
4.6.5 TRANSFORMATION INTO REFERENCE CONFIGURATION 129
4.6.6 CONSTITUTIVE EQUATION FOR HEAT FLUX AND CURRENT DENSITY
VECTOR 133
4.7 DERIVATION OF HEAT CONDUCTION EQUATION 137
5 MATERIAL PARAMETER IDENTIFICATION . 139
5.1 IDENTIFICATION PROCEDURE * 139
5.2 PARAMETER IDENTIFICATION OF THE THERMO-MECHANICAL BEHAVIOR OF COP
PER POWDER 144
5.2.1 ELASTICITY PARAMETERS 144
5.2.2 THERMAL EXPANSION 146
5.2.3 INELASTIC PARAMETERS FOR COLD COMPACTION 147
5.2.4 YIELD FUNCTION TEMPERATURE-DEPENDENCE 149
5.2.5 CREEP PARAMETERS 152
5.2.6 TENSILE STRESS EVOLUTION 154
5.3 PREDICTIONS 154
5.3.1 FORCE-RATE DEPENDENCE 156
5.3.2 INSTATIONARY CREEP 156
5.3.3 CREEP 157
5.4 SUMMARY 159
5.5 PARAMETER IDENTIFICATION OF THERMO-ELECTRICAL PROPERTIES 161
5.5.1 COPPER POWDER 161
5.5.2 GRAPHITE 162
5.5.3 ELECTRICAL CONTACT CONDUCTANCE . . 164
5.5.4 THERMAL CONTACT CONDUCTANCE 167
6 NUMERICAL SOLUTION OF INITIAL BOUNDARY VALUE PROBLEMS 169
6.1 LOCAL FBRM OF INITIAL BOUNDARY VALUE PROBLEM 169
6.2 VARIATIONAL FORM OF INITIAL BOUNDARY VALUE PROBLEM 174
6.2.1 WEAK FORM OF THE BALANCE OF MOMENTUM 175
6.2.2 WEAK FORM OF THE HEAT CONDUCTION EQUATION 176
6.2.3 WEAK FORM OF THE ELECTRICAL EQUATION 177
6.3 NUMERICAL SOLUTION PROCEDURE 177
6.3.1 MONOLITHIC SOLUTION 179
6.3.2 PARTITIONED SOLUTION 179
6.3.3 SPATIAL DISCRETIZATION USING FINITE ELEMENTS 180
6.3.4 TEMPORAL DISCRETIZATION USING BACKWARD EULER METHOD . . . 190
6.3.5 SOLUTION OF NONLINEAR SYSTEMS BY MEANS OF THE MULTILEVEL-
NEWTON ALGORITHM 191
6.3.6 STRESS ALGORITHM 194
7 NUMERICAL SIMULATIONS 203
7.1 SIMULATION OF EXPERIMENTS WITHOUT POWDER 203
7.1.1 BOUNDARY CONDITIONS 204
7.1.2 MESH CONVERGENCE STUDY 206
7.1.3 TIME INTEGRATION 208
7.1.4 PARAMETER STUDY 210
7.1.5 SENSITIVITY ANALYSIS 216
7.1.6 PID-CONTROLLER 218.
7.2 SIMULATION OF SINTERING EXPERIMENTS 221
7.2.1 BOUNDARY CONDITIONS 222
7.2.2 INSTATIONARY CREEP SIMULATION WITH 0 = 50 CMIN
-1
.... 225
7.2.3 INSTATIONARY CREEP SIMULATION WITH 0 = 200 CMIN
-1
.... 230
7.2.4 CREEP SIMULATION 230
7.3 SUMMARY 232
8 CONCLUSIONS AND OUTLOOK 235
APPENDIX 239
1 ELECTROMAGNETIC ENERGY 239
2 ARGUMENTS FOR THE STEADY-STATE CHARGE EQUATION 240
3 LOAD CASES FOR THE CHARACTERIZATION OF THE YIELD FUNCTION 240
4 STRESS STATE OF UNIAXIAL LATERALLY CONSTRAINED COMPRESSION 242
5 ISOTHERMAL COMPRESSIBLE VISCOPLASTICITY 243
6 MATRIX REPRESENTATION 244
7 UNIT SYSTEM 246
8 PID-CONTROLLER 248
LIST OF SYMBOLS 251
BIBLIOGRAPHY 263
CV 282
|
| any_adam_object | 1 |
| author | Rothe, Steffen 1985- |
| author_GND | (DE-588)1071421638 |
| author_facet | Rothe, Steffen 1985- |
| author_role | aut |
| author_sort | Rothe, Steffen 1985- |
| author_variant | s r sr |
| building | Verbundindex |
| bvnumber | BV042580934 |
| classification_rvk | ZM 7040 |
| collection | ebook |
| ctrlnum | (OCoLC)915666606 (DE-599)GBV82583483X |
| dewey-full | 671.373 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 671 - Metalworking & primary metal products |
| dewey-raw | 671.373 |
| dewey-search | 671.373 |
| dewey-sort | 3671.373 |
| dewey-tens | 670 - Manufacturing |
| discipline | Werkstoffwissenschaften / Fertigungstechnik |
| edition | 1. Aufl. |
| format | Thesis Book |
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| spelling | Rothe, Steffen 1985- Verfasser (DE-588)1071421638 aut Electro-thermo-mechanical modeling of field assisted sintering technology experiments, constitutive modeling and finite element analysis by Steffen Rothe 1. Aufl. Clausthal-Zellerfeld Papierflieger 2015 V, 282 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Berichte des Instituts für Technische Mechanik / TU Clausthal 2015,1 Zugl.: Clausthal, Techn. Univ., Diss., 2014 Prozesssimulation (DE-588)4176077-3 gnd rswk-swf Prozessinnovation (DE-588)4214088-2 gnd rswk-swf Mehrfeldproblem (DE-588)7544635-2 gnd rswk-swf Isostatisches Heißpressen (DE-588)4211470-6 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Isostatisches Heißpressen (DE-588)4211470-6 s Prozessinnovation (DE-588)4214088-2 s Mehrfeldproblem (DE-588)7544635-2 s Prozesssimulation (DE-588)4176077-3 s DE-604 TU Clausthal Berichte des Instituts für Technische Mechanik 2015,1 (DE-604)BV041995757 2015,1 https://dokumente.ub.tu-clausthal.de/servlets/MCRFileNodeServlet/Document_derivate_00000176/Db112213.pdf kostenfrei Volltext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028014322&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Rothe, Steffen 1985- Electro-thermo-mechanical modeling of field assisted sintering technology experiments, constitutive modeling and finite element analysis Prozesssimulation (DE-588)4176077-3 gnd Prozessinnovation (DE-588)4214088-2 gnd Mehrfeldproblem (DE-588)7544635-2 gnd Isostatisches Heißpressen (DE-588)4211470-6 gnd |
| subject_GND | (DE-588)4176077-3 (DE-588)4214088-2 (DE-588)7544635-2 (DE-588)4211470-6 (DE-588)4113937-9 |
| title | Electro-thermo-mechanical modeling of field assisted sintering technology experiments, constitutive modeling and finite element analysis |
| title_auth | Electro-thermo-mechanical modeling of field assisted sintering technology experiments, constitutive modeling and finite element analysis |
| title_exact_search | Electro-thermo-mechanical modeling of field assisted sintering technology experiments, constitutive modeling and finite element analysis |
| title_full | Electro-thermo-mechanical modeling of field assisted sintering technology experiments, constitutive modeling and finite element analysis by Steffen Rothe |
| title_fullStr | Electro-thermo-mechanical modeling of field assisted sintering technology experiments, constitutive modeling and finite element analysis by Steffen Rothe |
| title_full_unstemmed | Electro-thermo-mechanical modeling of field assisted sintering technology experiments, constitutive modeling and finite element analysis by Steffen Rothe |
| title_short | Electro-thermo-mechanical modeling of field assisted sintering technology |
| title_sort | electro thermo mechanical modeling of field assisted sintering technology experiments constitutive modeling and finite element analysis |
| title_sub | experiments, constitutive modeling and finite element analysis |
| topic | Prozesssimulation (DE-588)4176077-3 gnd Prozessinnovation (DE-588)4214088-2 gnd Mehrfeldproblem (DE-588)7544635-2 gnd Isostatisches Heißpressen (DE-588)4211470-6 gnd |
| topic_facet | Prozesssimulation Prozessinnovation Mehrfeldproblem Isostatisches Heißpressen Hochschulschrift |
| url | https://dokumente.ub.tu-clausthal.de/servlets/MCRFileNodeServlet/Document_derivate_00000176/Db112213.pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028014322&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV041995757 |
| work_keys_str_mv | AT rothesteffen electrothermomechanicalmodelingoffieldassistedsinteringtechnologyexperimentsconstitutivemodelingandfiniteelementanalysis |