Anisotropic material models for fiber reinforced polymers:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Abschlussarbeit Buch |
| Sprache: | German |
| Veröffentlicht: |
Hannover
ISD
2015
|
| Schriftenreihe: | Mitteilungen des Instituts für Statik und Dynamik der Leibniz Universität Hannover
23 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | VII, 215 S. Ill., graph. Darst. |
Internformat
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| 490 | 1 | |a Mitteilungen des Instituts für Statik und Dynamik der Leibniz Universität Hannover |v 23 | |
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Datensatz im Suchindex
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CONTENTS
1. INTRODUCTION 1
1.1. RATIONALE AND MOTIVATION 1
1.2. MECHANICAL BEHAVIOR OF FIBER REINFORCED POLYMERS AND LITERATURE
REVIEW . 3
1.2.1. MECHANICAL BEHAVIOR OF SHORT FIBER REINFORCED THERMOPLASTICS .
3
1.2.2. MECHANICAL BEHAVIOR OF UNIDIRECTIONAL POLYMER MATRIX COMPOSITES .
10
1.2.3. MECHANICAL BEHAVIOR OF ORGANIC SHEETS 18
1.3. OBJECTIVE AND OUTLINE 22
2. INVARIANT THEORY
AND REPRESENTATION OF ISOTROPIC TENSOR FUNCTIONS 26
2.1. GENERAL CONCEPT OF FORMULATING CONSTITUTIVE EQUATIONS 2G
2.2. REPRESENTATION THEOREM AND MATERIAL SYMMETRY GROUPS 30
2.2.1. ISOTROPIC FUNCTIONS 30
2.2.2. REPRESENTATION OF ISOTROPIC FUNCTIONS 32
2.2.3. ANISOTROPIC INVARIANTS 33
2.3. ISOTROPIC AND ANISOTROPIC ELASTICITY 34
2.3.1. ISOTROPIC ELASTICITY 34
2.3.2. TRANSVERSELY ISOTROPIC ELASTICITY 36
2.3.3. ORTHOTROPIC ELASTICITY 41
2.3.4. MONOCLINIC ELASTICITY 43
2.3.5. LIMITS OF ELASTICITY CONSTANTS 44
3. CONSTRUCTION OF ANISOTROPIC YIELD CRITERIA AND PLASTIC FLOW
POTENTIALS 51
3.1. INVARIANT BASE FOR TRANSVERSELY ISOTROPIC PLASTICITY 51
3.2. TRANSVERSELY ISOTROPIC YIELD - AND PLASTIC POTENTIAL FUNCTIONS 55
3.2.1. YIELD SURFACE FORMULATION FOR UD COMPOSITES 56
3.2.2. PLASTIC FLOW POTENTIAL FOR UD COMPOSITES 62
3.2.3. YIELD CRITERION FOR SHORT FIBER REINFORCED THERMOPLASTICS 65
3.2.4. PLASTIC FLOW POTENTIAL FOR SHORT FIBER REINFORCED THERMOPLASTICS
. 71
3.3. INVARIANT BASE FOR ORTHOTROPIC AND MONOCLINIC PLASTICITY 72
3.4. ORTHOTROPIC AND MONOCLINIC PLASTICITY 76
3.4.1. ORTHOTROPIC YIELD SURFACE FORMULATION 76
3.4.2. ORTHOTROPIC PLASTIC FLOW POTENTIAL 77
3.4.3. MONOCLINIC YIELD SURFACE FORMULATION FOR ORGANIC SHEETS 78
3.4.4. PLASTIC FLOW POTENTIAL FORMULATION FOR ORGANIC SHEETS 81
4. NON-ASSOCIATIVE ELASTO-PLASTICITY AND ELASTO-VISCOPLASTICITY 82
4.1. GENERALIZED CONTINUUM MODEL 82
4.1.1. ELASTIC-PLASTIC CONTINUUM MODEL 84
HTTP://D-NB.INFO/1073671666
II
CONTENTS
4.1.2. ELA.STIC-VISCOPLA.STIC CONTINUUM MODEL 86
4.2. NUMERICAL TREATMENT 89
4.2.1. TIME INTEGRATION OF THE GENERALIZED ELASTIC-PLASTIC MODEL 89
4.2.2. ALGORITHMIC CONSISTENT ELASTIC-PLASTIC MATERIAL TANGENT 91
4.2.3. TIME INTEGRATION OF THE GENERALIZED ELASTIC-VISCOPLASTIC MODEL
. 94
4.2.4. NUMERICAL MATERIAL TANGENT 98
5. MODELING SHORT FIBER REINFORCED THERMOPLASTICS 108
5.1. THEORETICAL BASICS 109
5.1.1. FIBER ORIENTATION TENSOR 109
5.1.2. INVARIANT BASED FAILURE CRITERION FOR SHORT FIBER REINFORCED
THERMO
PLASTICS 112
5.2. EXPERIMENTAL DATA BASIS FOR PA6GF60 AND MATERIAL CHARACTERIZATION
. 112
5.2.1. PREPARATION OF HARDENING DATA 110
5.2.2. CONSISTENCY CHECK OF YIELD SURFACE AND FAILURE SURFACE 122
5.3. MODEL VERIFICATION: SIMULATION OF MATERIAL CHARACTERIZATION TESTS
124
5.3.1. SIMULATION OF QUASI-STATIC TENSILE, COMPRESSION AND SHEAR TESTS .
. . 125
5.3.2. DYNAMIC TENSILE TESTS 125
5.4. MODEL VALIDATION: DYNAMIC THREE-POINT BENDING TESTS 126
5.4.1. VARIANT 1: AVERAGED FIBER DISTRIBUTION 131
5.4.2. VARIANT 2: LAYENVISE CONSIDERATION OF FIBER DISTRIBUTION 132
5.4.3. DISCUSSION MODELING VARIANT 1 VS. MODELING VARIANT 2 133
5.5. RESULTS USING A NONLOCAL DAMAGE APPROACH 134
5.6. CONCLUDING REMARKS 137
6. MODELING UNIDIRECTIONAL FIBER REINFORCED POLYMERS 140
6.1. INVARIANT BASED FAILURE CRITERION FOR UD COMPOSITES 141
6.2. EXPERIMENTAL DATA BASIS AND MATERIAL CHARACTERIZATION OF IM7-8552
. 141
6.2.1. CHARACTERIZATION AND DEDUCTION OF MATERIAL DATA 142
6.2.2. YIELD SURFACE OF IM7-8552 CARBON EPOXY 148
6.3. MODEL VERIFICATION AND VALIDATION: SIMULATION RESULTS FOR IM7-8552
. 150
6.3.1. SIMULATION OF QUASI-STATIC AND DYNAMIC OFF-AXIS COMPRESSION TESTS
. 150
6.3.2. UNIAXIAL COMPRESSION ANALYSIS UNDER VARIOUS HYDROSTATIC PRESSURES
. 154
6.4. ANALYSIS OF LAMINATED CFRP'S 156
6.4.1. SIMULATION OF A 4 POINT BENDING TEST OF A CURVED COMPOSITE BEAM .
156
6.4.2. SIMULATION OF THE IUSITU-EFFECT 159
6.5. CONCLUDING REMARKS 160
7. MODELING ORGANIC SHEETS 164
7.1. EXPERIMENTAL DATA BASIS AND MATERIAL CHARACTERIZATION 164
7.1.1. IN-PLANE SHEAR CHARACTERIZATION 165
7.1.2. CHARACTERIZATION OF STRAIN RATE DEPENDENT MATERIAL DATA 167
7.2. SIMULATION OF ORGANIC SHEETS 172
7.2.1. FINITE FIBER ROTATIONS AND EVOLVING ANISOTROPY 172
7.2.2. MODEL VERIFICATION - SIMULATION OF MATERIAL CHARACTERIZATION
TESTS . . 177
7.3. CONCLUDING REMARKS 183
CONTENTS III
8. SUMMARY AND OUTLOOK 185
8.0.1. SUMMARY 185
8.0.2. OUTLOOK " 185
REFERENCES 188
A. APPENDIX 200
A.L. TENSOR ALGEBRA 200
A.2. INVARIANTS AND THEIR DERIVATIVES 201
A.3. DERIVATIVES OF THE YIELD SURFACE- AND PLASTIC POTENTIAL
FORMULATIONS 202
TRANSVERSELY ISOTROPIC YIELD SURFACE FOR UD COMPOSITES 203
TRANSVERSELY ISOTROPIC FLOW POTENTIAL FOR UD COMPOSITES 204
TRANSVERSELY ISOTROPIC YIELD SURFACE FOR SHORT FIBER REINFORCED
THERMOPLASTICS 204
TRANSVERSELY ISOTROPIC FLOW POTENTIAL FOR SHORT FIBER REINFORCED
THERMOPLASTICS205
ORTHOTROPIC YIELD SURFACE FORMULATION 206
ORTLIOTROPIC FLOW POTENTIAL 207
MONOCLIUIC YIELD SURFACE FORMULATION FOR ORGANIC SHEETS 207
PLASTIC FLOW POTENTIAL FOR ORGANIC SHEETS 208
A.4. CONSISTENT LINEARIZATION AND UPDATE OF THE PLASTIC MULTIPLIER 208
A.5. KELVIN NOTATION FOR CODING 210
A.6. CONVERSION OF ELASTICITY PARAMETERS 213
TRANSVERSELY ISOTROPIC ELASTICITY PARAMETERS 213
ORTHOTROPIC ELASTICITY PARAMETERS 214 |
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| spelling | Vogler, Matthias Verfasser aut Anisotropic material models for fiber reinforced polymers vorgelegt von Matthias Vogler Hannover ISD 2015 VII, 215 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Mitteilungen des Instituts für Statik und Dynamik der Leibniz Universität Hannover 23 Zugl.: Hannover, Univ., Diss., 2014 Viskoplastizität (DE-588)4136051-5 gnd rswk-swf Mathematisches Modell (DE-588)4114528-8 gnd rswk-swf Anisotropie (DE-588)4002073-3 gnd rswk-swf Faserverstärkter Kunststoff (DE-588)4128805-1 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Faserverstärkter Kunststoff (DE-588)4128805-1 s Anisotropie (DE-588)4002073-3 s Viskoplastizität (DE-588)4136051-5 s Mathematisches Modell (DE-588)4114528-8 s DE-604 Mitteilungen des Instituts für Statik und Dynamik der Leibniz Universität Hannover 23 (DE-604)BV040670395 23 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028051621&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Vogler, Matthias Anisotropic material models for fiber reinforced polymers Mitteilungen des Instituts für Statik und Dynamik der Leibniz Universität Hannover Viskoplastizität (DE-588)4136051-5 gnd Mathematisches Modell (DE-588)4114528-8 gnd Anisotropie (DE-588)4002073-3 gnd Faserverstärkter Kunststoff (DE-588)4128805-1 gnd |
| subject_GND | (DE-588)4136051-5 (DE-588)4114528-8 (DE-588)4002073-3 (DE-588)4128805-1 (DE-588)4113937-9 |
| title | Anisotropic material models for fiber reinforced polymers |
| title_auth | Anisotropic material models for fiber reinforced polymers |
| title_exact_search | Anisotropic material models for fiber reinforced polymers |
| title_full | Anisotropic material models for fiber reinforced polymers vorgelegt von Matthias Vogler |
| title_fullStr | Anisotropic material models for fiber reinforced polymers vorgelegt von Matthias Vogler |
| title_full_unstemmed | Anisotropic material models for fiber reinforced polymers vorgelegt von Matthias Vogler |
| title_short | Anisotropic material models for fiber reinforced polymers |
| title_sort | anisotropic material models for fiber reinforced polymers |
| topic | Viskoplastizität (DE-588)4136051-5 gnd Mathematisches Modell (DE-588)4114528-8 gnd Anisotropie (DE-588)4002073-3 gnd Faserverstärkter Kunststoff (DE-588)4128805-1 gnd |
| topic_facet | Viskoplastizität Mathematisches Modell Anisotropie Faserverstärkter Kunststoff Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028051621&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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| work_keys_str_mv | AT voglermatthias anisotropicmaterialmodelsforfiberreinforcedpolymers |