A constitutive model for metal powder and its numerical treatment using finite elements:
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Hochschulschrift/Dissertation Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Kassel
Kassel Univ. Press
2008
|
| Schriftenreihe: | Berichte des Instituts für Mechanik
2008,1 |
| Schlagwörter: | |
| Links: | http://d-nb.info/988736829/04 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018593634&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Umfang: | 161 S. Ill., graph. Darst. 21 cm |
| ISBN: | 9783899583960 |
Internformat
MARC
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| 100 | 1 | |a Bier, Wolfgang |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a A constitutive model for metal powder and its numerical treatment using finite elements |c Wolfgang Bier |
| 264 | 1 | |a Kassel |b Kassel Univ. Press |c 2008 | |
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| 490 | 1 | |a Berichte des Instituts für Mechanik |v 2008,1 | |
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| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-018593634 | |
Datensatz im Suchindex
| _version_ | 1819341094018613248 |
|---|---|
| adam_text | IMAGE 1
CONTENTS
1 INTRODUCTION 13
1.1 SCOPEOFTHETHESIS 13
1.2 REVIEW OF RELATED RESEARCH 14
1.3 STRUCTUREOFTHETHESIS 16
2 CONTINUUM MECHANICAL FOUNDATIONS 19
2.1 KINEMATICS 20
2.1.1 MOTION AND CONFIGURATION 20
2.1.2 DEFORMATION GRADIENT 21
POLAR DECOMPOSITION 22
2.1.3 STRAIN TENSORS 23
2.1.4 DEFORMATION VELOCITIES 24
2.2 BALANCE RELATIONS AND STRESS TENSORS 25
2.2.1 BALANCE OFMASS 25
2.2.2 BALANCE OF MOMENTAN 26
2.2.3 BALANCE OF ANGULAR MOMENTUM 27
2.2.4 BALANCE OF ENERGY 27
2.2.5 BALANCE OFENTROPY AND DISSIPATION INEQUALITY 28
2.2.6 STRESS TENSORS 29
2.3 FUNDAMENTAL ISSUES OF CONSTITUTIVE MODELING 31
2.3.1 OBJECTIVITY 32
OBJECTIVE VECTOR, TENSORRATES 33
2.3.2 DUAL VARIABLES 34
2.3.3 THE MULTIPUECATIVE DECOMPOSITION F = F EFP 35
3 CONSTITUTIVE MODELING OF METAL POWDER 39
3.1 MOTIVATION 39
3.2 YIELD FUNCTIONS FOR PRESSURE DEPENDENT MATERIAL BEHAVIOR 40
3.2.1 A REVIEW OF EXISTING PRESSURE DEPENDENT YIELD FUNCTIONS 41
ELUEPSOIDAL SHAPED YIELD FUNCTIONS 43
GURSON MODEL 43
CAP MODEIS 44
CAM-CLAY MODEIS 46
MICRO-MECHANICALLY MOTIVATED MODEIS 46
SINGLE SURFACE MODELS 48
3.2.2 GENERAL 7(5) PARAMETER YIELD FUNCTIONS 49
3.2.3 A NEW PRESSURE DEPENDENT YIELD FUNCTION BASED ON IOG-INTERPOLATION
. .. 51
GESCANNT DURCH
BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/988736829
DIGITALISIERT DURCH
IMAGE 2
10 CONTENTS
LOG-INTERPOLATION 51
DIRECT APPLICATION OF THE LOG-INTERPOLATION 52
MODIFIED YIELD FUNCTION FORMULATION BASED ON LOG INTERPOLATION 54 3.3
RATE-INDEPENDENT CONSTITUTIVE MODEL 55
3.4 EXPANSION TO VISCOPLASTICITY 59
4 MATERIAL PARAMETER IDENTIFICATION 63
4.1 EXPERIMENTAL-BASED PARAMETER DETERMINATION 63
4.2 DESCRIPTION OF THE EXPERIMENTS 64
4.2.1 EXPERIMENTAL SETUP 65
4.2.2 TREATMENTOF EXPERIMENTAL DATA 67
CORRECTION OF AXIAL DISPLACEMENTS FOR COMPLIANCE OF SYSTEM 69
CONVERSIONOF RADIAL DISPLACEMENTSTO RADIAL STRESSES 72
4.3 PARAMETER IDENTIFICATION PROCEDURE 73
STAGEL: IDENTIFICATION OFINELASTIC PARAMETERS FROMLOADINGCURVE 74 STAGE
II: IDENTIFICATION OF ELASTICITY PARAMETERS FROM UNLOADING CURVES . . 76
5 NUMERICAL TREATMENT USING FINITE CLEMENTS 81
5.1 MATHEMATICAL BASICS 82
5.1.1 SOLUTIONOFDAESWITHDIRKMETHODS 82
TIME-ADAPTIVITY 85
5.1.2 MULTILEVEL-NEWTON ALGORITHM 88
5.1.3 GLOBALIZATION OF NEWTON S METHOD 90
CLASSICAL NEWTON-ALGORITHM 90
NEWTON WITH DAMPING 90
NEWTON-ALGORITHM WITH LINE-SEARCH 91
LINE-SEARCH FOR CONSTRAINED PROBLEMS 93
EMBEDDED NEWTON-ALGORITHM (HOMOTOPY) 96
5.2 NUMERICAL SOLUTION OF THE INITIAL BOUNDARY VALUE PROBLEM 98
5.2.1 THE PRINCIPLEOF VIRTUAL DISPLACEMENTS 98
5.2.2 SPACE DISCRETIZATION OF THE PRINCIPLEOF VIRTUAL DISPLACEMENTS 99
5.2.3 SOLVING THE DAE-SYSTEM WITH DIRK METHODS AND THE MULTILEVEL-NEWTON
ALGORITHM 102
5.2.4 APPLICATION OF GLOBALIZED NEWTON ALGORITHMS TO SOLVE THE LOCAL
NONLINEAR SYSTEM (STRESS COMPUTATION) 104
5.2.5 COMPUTATION OF THE CONSISTENT TANGENT MATRIX 106
6 NUMERICAL STUDIES AND EXAMPLES 111
6.1 SIMPLE DIE COMPACTION (ORDER REDUCTION PHENOMENON) 112
6.2 L-SHAPED PROFILE 115
6.3 A FLAT WASHER-LIKE PROBLEM 120
7 CONDUSIONS 123
A LIMIT CASES OF THE INTERPOLATED YIELD FUNCTION 125
B PROOFOFCONVEXITY 129
IMAGE 3
CONTENTS
C STUDYOFASPECIFICODE 133
D ANALYTICAL CONSISTENT TANGENT 135
D.L DERIVATIVES APPEARING IN THE FUNCTIONAL MATRIX 136
D.L.L DERIVATIVES WITH RESPECT TO C P 137
D.1.2 DERIVATIVES WITH RESPECT TO A 139
D.2 DERIVATIVES WITH RESPECT TO C 140
E LIST OF PUBLICATIONS ORIGINATING FROM GIF COLLABORATION 143
F LIST OF SYMBOLS 145
F.L SCALAR QUANTITIES 145
F.2 VECTOR VALUED QUANTITIES 148
F.3 SECOND AND HIGHER ORDER TENSOR QUANTITIES 149
F.4 MATRICES AND COLUMN MATRICES 150
F.5 MISCELLANEOUS 151
F.6 MATHEMATICAL OPERATORS 152
REFERENCES 153
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| discipline | Werkstoffwissenschaften / Fertigungstechnik |
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| genre_facet | Hochschulschrift |
| id | DE-604.BV024621690 |
| illustrated | Illustrated |
| indexdate | 2024-12-20T13:58:58Z |
| institution | BVB |
| isbn | 9783899583960 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-018593634 |
| oclc_num | 916660938 |
| open_access_boolean | |
| owner | DE-83 |
| owner_facet | DE-83 |
| physical | 161 S. Ill., graph. Darst. 21 cm |
| publishDate | 2008 |
| publishDateSearch | 2008 |
| publishDateSort | 2008 |
| publisher | Kassel Univ. Press |
| record_format | marc |
| series | Berichte des Instituts für Mechanik |
| series2 | Berichte des Instituts für Mechanik |
| spellingShingle | Bier, Wolfgang A constitutive model for metal powder and its numerical treatment using finite elements Berichte des Instituts für Mechanik |
| subject_GND | (DE-588)4113937-9 |
| title | A constitutive model for metal powder and its numerical treatment using finite elements |
| title_auth | A constitutive model for metal powder and its numerical treatment using finite elements |
| title_exact_search | A constitutive model for metal powder and its numerical treatment using finite elements |
| title_full | A constitutive model for metal powder and its numerical treatment using finite elements Wolfgang Bier |
| title_fullStr | A constitutive model for metal powder and its numerical treatment using finite elements Wolfgang Bier |
| title_full_unstemmed | A constitutive model for metal powder and its numerical treatment using finite elements Wolfgang Bier |
| title_short | A constitutive model for metal powder and its numerical treatment using finite elements |
| title_sort | a constitutive model for metal powder and its numerical treatment using finite elements |
| topic_facet | Hochschulschrift |
| url | http://d-nb.info/988736829/04 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018593634&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008907834 |
| work_keys_str_mv | AT bierwolfgang aconstitutivemodelformetalpowderanditsnumericaltreatmentusingfiniteelements |