Branched microstructures in a single-slip model in finite crystal plasticity:
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Abschlussarbeit Buch |
| Sprache: | English |
| Veröffentlicht: |
2013
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| Schlagworte: | |
| Online-Zugang: | Volltext https://nbn-resolving.org/urn:nbn:de:bvb:355-epub-280859 Inhaltsverzeichnis |
| Beschreibung: | III, 175 S. Ill., graph. Darst. |
Internformat
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| 245 | 1 | 0 | |a Branched microstructures in a single-slip model in finite crystal plasticity |c vorgelegt von Tobias Schubert |
| 264 | 1 | |c 2013 | |
| 300 | |a III, 175 S. |b Ill., graph. Darst. | ||
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Datensatz im Suchindex
| _version_ | 1804150291311886336 |
|---|---|
| adam_text | IMAGE 1
CONTENTS
1 INTRODUCTION 1
2 AN OUTLINE OF FINITE CRYSTAL PLASTICITY 8
2.1 FUNDAMENTAL ASSUMPTIONS 8
2.2 RATE INDEPENDENT EVOLUTION OF ELASTOPLASTIC BODIES, BASED ON THE
FLOW RULE 9 , 2.3 SINGLE-SLIP MODEL 11
2.4 NOTES ABOUT THE GEOMETRIC DISLOCATION TENSOR 12
2.4.1 OVERVIEW OF THE DIFFERENT DISLOCATION TENSORS 13
2.4.2 THE TRUE AND LOCAL BURGERS VECTOR 15
2.4.3 TRANSFORMATION RULE FOR THE TRUE BURGERS VECTOR 18
2.4.4 THE SELF-ENERGY DENSITY OF THE DISLOCATIONS 21
2.5 VARIATIONAL FORMULATION 23
3 MATHEMATICAL PRELIMINARIES 24
3.1 TRACES AND NULL LAGRANGIANS 24
3.2 FUNCTIONS OF BOUNDED VARIATION 26
3.3 T-CONVERGENCE 34
3.4 NOTIONS OF CONVEXITY 37
3.5 CONVEX INTEGRATION 39
3.6 CONSEQUENCE OF THE DIV-CURL LEMMA 41
4 MATHEMATICAL MODEL 42
4.1 RESULTS FOR THE MODEL WITHOUT SELF-ENERGY 43
4.2 APPLICATION OF THE CONVEX INTEGRATION METHOD 47
4.3 RESULTS FOR TWO SLIP SYSTEMS 49
4.4 ENERGY FUNCTIONALS 62
5 UPPER BOUNDS 63
5.1 UPPER BOUND FOR CL - (0, L) 2 - BASIC CONSTRUCTION 63
5.2 UPPER BOUND FOR MORE GENERAL FI - BASIC CONSTRUCTION 75
5.3 UPPER BOUND FOR A RECTANGLE F T - BRANCHING CONSTRUCTION 88
5.4 UPPER BOUND FOR BOUNDARY VALUES IN 102
I
HTTP://D-NB.INFO/1037278305
IMAGE 2
6 LOWER BOUNDS 110
6.1 ALGEBRAIC ESTIMATES 110
6.2 LOWER BOUND FOR AFFINE BOUNDARY VALUES IN SO( 2) 114
6.3 MOTIVATION FOR THE SIMPLIFICATION 120
6.4 LOWER BOUND FOR A SIMPLIFIED MODEL 128
7 T-CONVERGENCE 143
7.1 LOWER BOUND AND COMPACTNESS 144
7.2 RECOVERY SEQUENCE 144
8 OUTLOOK 155
9 APPENDIX 156
9.1 A. CALCULATIONS 156
9.2 B. NOTATION AND CONVENTIONS 161
9.3 C. INDEX OF NOTATION 162
BIBLIOGRAPHY 170
II
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| language | English |
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| physical | III, 175 S. Ill., graph. Darst. |
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| spelling | Schubert, Tobias Verfasser aut Branched microstructures in a single-slip model in finite crystal plasticity vorgelegt von Tobias Schubert 2013 III, 175 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Regensburg, Univ., Diss., (DE-588)4113937-9 Hochschulschrift gnd-content Erscheint auch als Online-Ausgabe urn:nbn:de:bvb:355-epub-280859 http://epub.uni-regensburg.de/28085/ Verlag kostenfrei Volltext https://nbn-resolving.org/urn:nbn:de:bvb:355-epub-280859 Resolving-System DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025953236&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Schubert, Tobias Branched microstructures in a single-slip model in finite crystal plasticity |
| subject_GND | (DE-588)4113937-9 |
| title | Branched microstructures in a single-slip model in finite crystal plasticity |
| title_auth | Branched microstructures in a single-slip model in finite crystal plasticity |
| title_exact_search | Branched microstructures in a single-slip model in finite crystal plasticity |
| title_full | Branched microstructures in a single-slip model in finite crystal plasticity vorgelegt von Tobias Schubert |
| title_fullStr | Branched microstructures in a single-slip model in finite crystal plasticity vorgelegt von Tobias Schubert |
| title_full_unstemmed | Branched microstructures in a single-slip model in finite crystal plasticity vorgelegt von Tobias Schubert |
| title_short | Branched microstructures in a single-slip model in finite crystal plasticity |
| title_sort | branched microstructures in a single slip model in finite crystal plasticity |
| topic_facet | Hochschulschrift |
| url | http://epub.uni-regensburg.de/28085/ https://nbn-resolving.org/urn:nbn:de:bvb:355-epub-280859 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025953236&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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