Finite-element based determination of response spectra of viscoelastic materials subjected to low-velocity impact loading:
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| Main Author: | |
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| Format: | Thesis Book |
| Language: | English |
| Published: |
2013
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| Subjects: | |
| Online Access: | Volltext https://nbn-resolving.org/urn:nbn:de:bvb:91-diss-20130924-1145600-0-3 Inhaltsverzeichnis |
| Physical Description: | XII, 156 S. graph. Darst. |
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| 100 | 1 | |a Herrenbrück, Martin Johannes |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Finite-element based determination of response spectra of viscoelastic materials subjected to low-velocity impact loading |c Martin Johannes Herrenbrück |
| 264 | 1 | |c 2013 | |
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Record in the Search Index
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| adam_text | CONTENTS
. DANKSAGUNG I
. KURZFASSUNG III
. ABSTRACT IV
. CONTENTS V
. LIST OF SYMBOLS IX
1. INTRODUCTION 1
1.1. MOTIVATION 1
1.2. VISCOELASTICITY AND SPHERICAL IMPACT PROBLEMS 3
1.3. AIMS AND OBJECTIVES 7
2. MODELLING 9
2.1. MODELLING OF LINEAR VISCOELASTIC MATERIAL BEHAVIOUR 10
2.2. ID STRESS-STRAIN RELATIONS FOR LINEAR VISCOELASTIC MATERIALS 12
2.3. SELECTED RHEOLOGICAL MODELS 14
2.4. MODELLING OF THREE-DIMENSIONAL MATERIAL BEHAVIOUR 15
2.4.1. LINEAR ELASTIC ISOTROPIC HOMOGENEOUS MATERIALS 15
2.4.2. LINEAR VISCOELASTIC ISOTROPIC HOMOGENEOUS MATERIALS 16
2.5. IMPACT OF A RIGID SPHERE ON THE ELASTIC HALF-SPACE 17
2.5.1. PRELIMINARY REMARKS CONCERNING THE STATIC CONTACT PROBLEM 18
2.5.2. SNEDDON SOLUTION FOR THE CONTACT PROBLEM OF A RIGID SPHERE ON AN
ELASTIC
HALF-SPACE 20
2.5.3. HERTZ SOLUTION FOR THE CONTACT PROBLEM OF A RIGID SPHERE ON AN
ELASTIC
HALF-SPACE 22
2.5.4. COMPARISON BETWEEN THE HERTZ AND THE SNEDDON SOLUTION FOR
SPHERICAL
CONTACT 24
HTTP://D-NB.INFO/1043821643
VI
CONTENTS
2.5.5. HERTZIAN IMPACT OF A RIGID SPHERE ON AN ELASTIC HALF-SPACE 25
2.6. CONTACT AND IMPACT OF A RIGID SPHERE ON A VISCOELASTIC HALF-SPACE
29
2.7. CONCLUDING REMARKS 35
3. MATERIALS AND MATERIAL PROPERTIES 37
3.1. CELLULAR SOLIDS 38
3.1.1. TYPES OF CELLULAR MATERIALS 38
3.1.2. CHARACTERISTICS OF POLYMERIC FOAMS 39
3.2. CHARACTERISTICS OF THE INVESTIGATED FOAM SPECIMENS 39
3.2.1. GENERAL SAMPLE PROPERTIES 40
3.2.2. MICROSCALE INVESTIGATIONS 42
3.2.3. ONE-DIMENSIONAL CREEP EXPERIMENT (COMPRESSION) 45
3.2.4. SHEAR TEST: EXPERIMENTAL INVESTIGATIONS AND NUMERICAL RE-ANALYSIS
.... 47
3.2.5. SPHERICAL INDENTATION 50
3.2.6. TRIAXIAL COMPRESSION 51
3.3. CONCLUDING REMARKS 52
4. IMPACT LOADING ON VISCOELASTIC MATERIALS 53
4.1. IMPACT EXPERIMENTS 54
4.1.1. DESCRIPTION OF TEST APPARATUS 54
4.1.2. CURVE FITTING FOR THE DETERMINATION OF TIME DERIVATIVES 54
4.1.3. EXPERIMENTAL RESULTS 55
4.2. NUMERICAL SIMULATIONS: MODELLING AND EXAMPLE RESULTS 56
4.2.1. NUMERICAL MODELLING OF IMPACT PROBLEM 56
4.2.2. EXAMPLE RESULTS 58
4.3. REPRESENTATION OF THE NUMERICAL RESULTS BY MASTER CURVES 62
4.3.1. GENERATION OF MASTER CURVES USING DIMENSIONLESS PARAMETERS 62
4.3.2. MASTER CURVES FOR THE MX MODEL 63
4.3.3. MASTER CURVES FOR THE SLS MODEL 63
4.3.4. MASTER CURVES FOR THE PL MODEL 63
4.3.5. MASTER CURVES FOR THE SRKV MODEL 64
4.3.6. MASTER CURVES FOR THE LOG MODEL 64
4.3.7. CONCLUDING REMARKS 64
4.4. OPTIMAL MATERIAL PROPERTIES FOR STRUCTURES UNDER IMPACT 72
4.4.1. OPTIMISATION OBJECTIVES 72
4.4.2. OPTIMAL CHARACTERISTIC TIME FOR THE MX MODEL 73
4.4.3. OPTIMAL CHARACTERISTIC TIME FOR THE SLS MODEL 75
CONTENTS VII
4.4.4. OPTIMAL CHARACTERISTIC TIME FOR THE PL MODEL 75
4.5. MATERIAL CHARACTERISATION / RE-ANALYSIS BY IMPACT TESTS 80
4.5.1. PARAMETER IDENTIFICATION FOR THE SRKV MODEL 80
4.5.2. PARAMETER IDENTIFICATION FOR THE LOG MODEL 84
4.6. CONCLUDING REMARKS 88
5. CONCLUSIONS 89
5.1. SUMMARY 89
5.2. NOVELTY OF THE WORK AND LIMITATIONS 91
5.3. FUTURE WORK 93
5.4. REAL-LIFE APPLICATIONS 94
A. MATHEMATICAL FOUNDATIONS 95
A.L. BASIC RELATIONS 95
A.2. SPECIAL FUNCTIONS 96
A.3. LAPLACE TRANSFORM 98
A.4. CURVE-FITTING BY POLYNOMIAL APPROXIMATIONS 100
B. MATHEMATICAL DERIVATIONS CONCERNING THE USED RHEOLOGICAL MODELS 103
B.L. MAXWELL ELEMENT (MX) 103
B.2. STANDARD LINEAR SOLID (SLS) 104
B.3. THREE-PARAMETER POWER LAW CREEP MODEL (PL) 109
B.4. THREE-PARAMETER SQUARE ROOT KELVIN-VOIGT MODEL (SRKV) 114
B.5. LOGARITHMIC CREEP (LOG) 118
C. DIMENSIONAL ANALYSIS 123
C.L. PRINCIPAL IDEA AND PROCEDURE 124
C.2. EXAMPLE: HERTZ CONTACT PROBLEM 125
C.3. MASTER CURVES 126
D. STRUCTURAL OPTIMISATION 129
D.L. MULTI-OBJECTIVE OPTIMISATION 130
D.2. MULTISCALE TOPOLOGY OPTIMISATION OF A SATURATED POROELASTIC
STRUCTURE 134
. BIBLIOGRAPHY 137
|
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| language | English |
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| physical | XII, 156 S. graph. Darst. |
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| spelling | Herrenbrück, Martin Johannes Verfasser aut Finite-element based determination of response spectra of viscoelastic materials subjected to low-velocity impact loading Martin Johannes Herrenbrück 2013 XII, 156 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier München, Techn. Univ., Diss., 2013 Mit einer Zssfassung in dt. Sprache Parameteridentifikation (DE-588)4210689-8 gnd rswk-swf Kugelstoß (DE-588)4165935-1 gnd rswk-swf Viskoelastizität (DE-588)4063621-5 gnd rswk-swf Finite-Elemente-Methode (DE-588)4017233-8 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Finite-Elemente-Methode (DE-588)4017233-8 s Viskoelastizität (DE-588)4063621-5 s Parameteridentifikation (DE-588)4210689-8 s Kugelstoß (DE-588)4165935-1 s DE-604 Erscheint auch als Online-Ausgabe urn:nbn:de:bvb:91-diss-20130924-1145600-0-3 http://mediatum.ub.tum.de/node?id=1145600 Verlag kostenfrei Volltext https://nbn-resolving.org/urn:nbn:de:bvb:91-diss-20130924-1145600-0-3 Resolving-System DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026837057&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Herrenbrück, Martin Johannes Finite-element based determination of response spectra of viscoelastic materials subjected to low-velocity impact loading Parameteridentifikation (DE-588)4210689-8 gnd Kugelstoß (DE-588)4165935-1 gnd Viskoelastizität (DE-588)4063621-5 gnd Finite-Elemente-Methode (DE-588)4017233-8 gnd |
| subject_GND | (DE-588)4210689-8 (DE-588)4165935-1 (DE-588)4063621-5 (DE-588)4017233-8 (DE-588)4113937-9 |
| title | Finite-element based determination of response spectra of viscoelastic materials subjected to low-velocity impact loading |
| title_auth | Finite-element based determination of response spectra of viscoelastic materials subjected to low-velocity impact loading |
| title_exact_search | Finite-element based determination of response spectra of viscoelastic materials subjected to low-velocity impact loading |
| title_full | Finite-element based determination of response spectra of viscoelastic materials subjected to low-velocity impact loading Martin Johannes Herrenbrück |
| title_fullStr | Finite-element based determination of response spectra of viscoelastic materials subjected to low-velocity impact loading Martin Johannes Herrenbrück |
| title_full_unstemmed | Finite-element based determination of response spectra of viscoelastic materials subjected to low-velocity impact loading Martin Johannes Herrenbrück |
| title_short | Finite-element based determination of response spectra of viscoelastic materials subjected to low-velocity impact loading |
| title_sort | finite element based determination of response spectra of viscoelastic materials subjected to low velocity impact loading |
| topic | Parameteridentifikation (DE-588)4210689-8 gnd Kugelstoß (DE-588)4165935-1 gnd Viskoelastizität (DE-588)4063621-5 gnd Finite-Elemente-Methode (DE-588)4017233-8 gnd |
| topic_facet | Parameteridentifikation Kugelstoß Viskoelastizität Finite-Elemente-Methode Hochschulschrift |
| url | http://mediatum.ub.tum.de/node?id=1145600 https://nbn-resolving.org/urn:nbn:de:bvb:91-diss-20130924-1145600-0-3 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026837057&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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