Availability: Finite-element based determination of response spectra of viscoelastic materials subjected to low-velocity impact loading

Finite-element based determination of response spectra of viscoelastic materials subjected to low-velocity impact loading:

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Bibliographic Details
Main Author:	Herrenbrück, Martin Johannes (Author)
Format:	Thesis/Dissertation Book
Language:	English
Published:	2013
Subjects:	Parameteridentifikation Kugelstoß Viskoelastizität Finite-Elemente-Methode Hochschulschrift
Links:	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
Physical Description:	XII, 156 S. graph. Darst.

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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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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
work_keys_str_mv	AT herrenbruckmartinjohannes finiteelementbaseddeterminationofresponsespectraofviscoelasticmaterialssubjectedtolowvelocityimpactloading

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