Thermomechanical modeling of shape memory alloys at different length scales:
Saved in:
| Main Author: | |
|---|---|
| Format: | Thesis Book |
| Language: | English |
| Published: |
Bochum
Inst. für Mechanik, Ruhr-Univ.
2007
|
| Series: | Mitteilungen aus dem Institut für Mechanik
144 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Zsfassung in dt. und engl. Sprache |
| Physical Description: | 166 S. Ill., graph. Darst. |
| ISBN: | 9783935892193 |
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Record in the Search Index
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| adam_text | INSTITUT FUR MECHANIK RUHR-UNIVERSITAT BOCHUM CLAUS OBERSTE-BRANDENBURG
THERMOMECHANICAL MODELING OF SHAPE MEMORY ALLOYS AT DIFFERENT LENGTH
SCALES MITTEILUNGEN AUS DEM INSTITUT FUR MECHANIK NR. 144 JULI 2007 ULB
DARMSTADT 16983039 CONTENTS 1 INTRODUCTION 1 2 THERMOMECHANICAL FRAME 4
2.1 GENERAL PRELIMINARIES 4 2.1.1 MATHEMATICAL NOTATION 4 2.1.2 VECTOR
PRODUCTS 6 2.1.3 TENSOR INVARIANTS 7 2.2 DEFORMATION AND MOTION 10 2.2.1
KINEMATICAL FRAME 10 2.2.2 MATERIAL FRAME INDIFFERENCE 13 2.2.3 STRAIN
MEASURES 15 2.2.4 VELOCITIES 17 2.2.5 OBJECTIVE TIME DERIVATIVE 18 2.3
THERMOMECHANICAL FRAME FOR HOMOGENEOUS MATERIAL 22 2.3.1 TRANSPORT
THEOREM 23 2.3.2 BALANCE OF MASS .^ . 25 2.3.3 BALANCE OF LINEAR
MOMENTUM 26 2.3.4 BALANCE OF ANGULAR MOMENTUM 28 2.3.5 BALANCE OF ENERGY
. 30 2.3.6 THE SECOND LAW OF THERMODYNAMICS 35 2.3.7 STATE SPACE 36
2.3.8 AFFINITIES AND FLUXES 37 2.3.9 THERMODYNAMIC POTENTIALS 38 2.3.10
THERMOMECHANICAL COUPLING 44 2.4 LOCAL CONSIDERATIONS AT A DISCONTINUITY
46 2.4.1 MATHEMATICAL DESCRIPTION OF THE SPATIAL POSITION OF THE
DISCONTINUITY 46 2.4.2 TRANSPORT THEOREM 48 2.4.3 BALANCE OF MASS 51
2.4.4 BALANCE OF LINEAR MOMENTUM 52 2.4.5 BALANCE OF ANGULAR MOMENTUM 52
2.4.6 BALANCE OF ENERGY 52 2.4.7 THE ENTROPY INEQUALITY 53 2.4.8
HADAMARD CONDITION 54 2.4.9 DISCONTINUITY MOVEMENT 55 3 CONSTITUTIVE
RELATIONS FOR A MATERIAL POINT 58 3.1 ELASTIC BEHAVIOR 58 3.2 DERIVATION
OF THE HELMHOLTZ FREE ENERGY 59 4 MICROMECHANICAL APPROACH 65 4.1
MOTIVATION AND OBSERVATIONS - MICROMECHANICAL VIEW 65 4.1.1 AN
INTRODUCTORY EXAMPLE 65 4.1.2 PHASE TRANSITIONS IN SHAPE MEMORY ALLOYS -
MICROME- CHANICAL OBSERVATIONS 66 4.2 PROBLEM STATEMENT 74 4.2.1 BULK
BEHAVIOR 77 4.2.2 DEFORMATION INDUCED BY CHANGE OF THE CRYSTALLOGRAPHIC
STRUCTURE 78 4.2.3 INTERFACIAL MOVEMENT 84 4.3 NUMERICAL REALIZATION 85
4.3.1 PRELIMINARIES 88 4.3.2 BOUNDARY ELEMENT METHOD 88 4.3.3
INTERFACIAL MOVEMENT 95 ILL 4.3.4 REMESHING STRATEGIES 105 4.3.5
CONVERGENCE STUDIES 106 4.4 EXAMPLE - PHASE TRANSITION IN A SINGLE
CRYSTAL 108 4.4.1 INTRODUCTORY SETUP . . . 110 4.4.2 INTEGRATION
PROCEDURE 113 4.4.3 INFLUENCE OF THE VALUE OF THE APPLIED TRACTION 115
4.4.4 SIZE EFFECTS REGARDING THE INHOMOGENEITY 115 4.5 SUMMARY AND
OUTLOOK 116 5 MACROSCOPIC APPROACH 119 5.1 MOTIVATION AND OBSERVATIONS -
MACROSCOPIC VIEW 119 5.2 GENERAL CONSIDERATIONS 126 5.2.1 SCALE
TRANSITION 126 5.2.2 KINETIC RELATION 129 5.3 FURTHER SPECIFICATIONS 139
5.4 ONSET OF THE PHASE TRANSITION 142 5.4.1 STRESS FREE STATE 142 5.4.2
SIMPLE TENSION AND COMPRESSION 143 5.4.3 PURE SHEAR 145 5.4.4
HYDROSTATIC STRESS STATE 146 5.4.5 TWO DIMENSIONAL STRESS-STATE 147
5.4.6 CLOSING REMARKS 151 5.5 TRANSFORMATION KINETICS 151 5.6
BACKTRANSFORMATION 154 5.7 SUMMARY AND OUTLOOK 154 6 CONCLUSION 155 A
SPECIFICATION OF U, T, AND E 156 BIBLIOGRAPHY 157
|
| adam_txt |
INSTITUT FUR MECHANIK RUHR-UNIVERSITAT BOCHUM CLAUS OBERSTE-BRANDENBURG
THERMOMECHANICAL MODELING OF SHAPE MEMORY ALLOYS AT DIFFERENT LENGTH
SCALES MITTEILUNGEN AUS DEM INSTITUT FUR MECHANIK NR. 144 JULI 2007 ULB
DARMSTADT 16983039 CONTENTS 1 INTRODUCTION 1 2 THERMOMECHANICAL FRAME 4
2.1 GENERAL PRELIMINARIES 4 2.1.1 MATHEMATICAL NOTATION 4 2.1.2 VECTOR
PRODUCTS 6 2.1.3 TENSOR INVARIANTS 7 2.2 DEFORMATION AND MOTION 10 2.2.1
KINEMATICAL FRAME 10 2.2.2 MATERIAL FRAME INDIFFERENCE 13 2.2.3 STRAIN
MEASURES 15 2.2.4 VELOCITIES 17 2.2.5 OBJECTIVE TIME DERIVATIVE 18 2.3
THERMOMECHANICAL FRAME FOR HOMOGENEOUS MATERIAL 22 2.3.1 TRANSPORT
THEOREM 23 2.3.2 BALANCE OF MASS .^ . 25 2.3.3 BALANCE OF LINEAR
MOMENTUM 26 2.3.4 BALANCE OF ANGULAR MOMENTUM 28 2.3.5 BALANCE OF ENERGY
. 30 2.3.6 THE SECOND LAW OF THERMODYNAMICS 35 2.3.7 STATE SPACE 36
2.3.8 AFFINITIES AND FLUXES 37 2.3.9 THERMODYNAMIC POTENTIALS 38 2.3.10
THERMOMECHANICAL COUPLING 44 2.4 LOCAL CONSIDERATIONS AT A DISCONTINUITY
46 2.4.1 MATHEMATICAL DESCRIPTION OF THE SPATIAL POSITION OF THE
DISCONTINUITY 46 2.4.2 TRANSPORT THEOREM 48 2.4.3 BALANCE OF MASS 51
2.4.4 BALANCE OF LINEAR MOMENTUM 52 2.4.5 BALANCE OF ANGULAR MOMENTUM 52
2.4.6 BALANCE OF ENERGY 52 2.4.7 THE ENTROPY INEQUALITY 53 2.4.8
HADAMARD CONDITION 54 2.4.9 DISCONTINUITY MOVEMENT 55 3 CONSTITUTIVE
RELATIONS FOR A MATERIAL POINT 58 3.1 ELASTIC BEHAVIOR 58 3.2 DERIVATION
OF THE HELMHOLTZ FREE ENERGY 59 4 MICROMECHANICAL APPROACH 65 4.1
MOTIVATION AND OBSERVATIONS - MICROMECHANICAL VIEW 65 4.1.1 AN
INTRODUCTORY EXAMPLE 65 4.1.2 PHASE TRANSITIONS IN SHAPE MEMORY ALLOYS -
MICROME- CHANICAL OBSERVATIONS 66 4.2 PROBLEM STATEMENT 74 4.2.1 BULK
BEHAVIOR 77 4.2.2 DEFORMATION INDUCED BY CHANGE OF THE CRYSTALLOGRAPHIC
STRUCTURE 78 4.2.3 INTERFACIAL MOVEMENT 84 4.3 NUMERICAL REALIZATION 85
4.3.1 PRELIMINARIES 88 4.3.2 BOUNDARY ELEMENT METHOD 88 4.3.3
INTERFACIAL MOVEMENT 95 ILL 4.3.4 REMESHING STRATEGIES 105 4.3.5
CONVERGENCE STUDIES 106 4.4 EXAMPLE - PHASE TRANSITION IN A SINGLE
CRYSTAL 108 4.4.1 INTRODUCTORY SETUP . . . 110 4.4.2 INTEGRATION
PROCEDURE 113 4.4.3 INFLUENCE OF THE VALUE OF THE APPLIED TRACTION 115
4.4.4 SIZE EFFECTS REGARDING THE INHOMOGENEITY 115 4.5 SUMMARY AND
OUTLOOK 116 5 MACROSCOPIC APPROACH 119 5.1 MOTIVATION AND OBSERVATIONS -
MACROSCOPIC VIEW 119 5.2 GENERAL CONSIDERATIONS 126 5.2.1 SCALE
TRANSITION 126 5.2.2 KINETIC RELATION 129 5.3 FURTHER SPECIFICATIONS 139
5.4 ONSET OF THE PHASE TRANSITION 142 5.4.1 STRESS FREE STATE 142 5.4.2
SIMPLE TENSION AND COMPRESSION 143 5.4.3 PURE SHEAR 145 5.4.4
HYDROSTATIC STRESS STATE 146 5.4.5 TWO DIMENSIONAL STRESS-STATE 147
5.4.6 CLOSING REMARKS 151 5.5 TRANSFORMATION KINETICS 151 5.6
BACKTRANSFORMATION 154 5.7 SUMMARY AND OUTLOOK 154 6 CONCLUSION 155 A
SPECIFICATION OF U, T, AND E 156 BIBLIOGRAPHY 157 |
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| index_date | 2024-07-02T22:13:56Z |
| indexdate | 2024-07-09T21:22:12Z |
| institution | BVB |
| isbn | 9783935892193 |
| language | English |
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| physical | 166 S. Ill., graph. Darst. |
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| publisher | Inst. für Mechanik, Ruhr-Univ. |
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| series | Mitteilungen aus dem Institut für Mechanik |
| series2 | Mitteilungen aus dem Institut für Mechanik |
| spelling | Oberste-Brandenburg, Claus 1968- Verfasser (DE-588)1038683262 aut Thermomechanical modeling of shape memory alloys at different length scales Claus Oberste-Brandenburg Bochum Inst. für Mechanik, Ruhr-Univ. 2007 166 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Mitteilungen aus dem Institut für Mechanik 144 Zsfassung in dt. und engl. Sprache Zugl.: Bochum, Univ., Diss., 2006 Memory-Legierung Thermomechanische Eigenschaft Memory-Legierung swd Thermomechanische Eigenschaft swd Memory-Legierung (DE-588)4120726-9 gnd rswk-swf Thermomechanische Eigenschaft (DE-588)4194417-3 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Memory-Legierung (DE-588)4120726-9 s Thermomechanische Eigenschaft (DE-588)4194417-3 s DE-604 Mitteilungen aus dem Institut für Mechanik 144 (DE-604)BV000005043 144 HEBIS Datenaustausch Darmstadt application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016768156&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Oberste-Brandenburg, Claus 1968- Thermomechanical modeling of shape memory alloys at different length scales Mitteilungen aus dem Institut für Mechanik Memory-Legierung Thermomechanische Eigenschaft Memory-Legierung swd Thermomechanische Eigenschaft swd Memory-Legierung (DE-588)4120726-9 gnd Thermomechanische Eigenschaft (DE-588)4194417-3 gnd |
| subject_GND | (DE-588)4120726-9 (DE-588)4194417-3 (DE-588)4113937-9 |
| title | Thermomechanical modeling of shape memory alloys at different length scales |
| title_auth | Thermomechanical modeling of shape memory alloys at different length scales |
| title_exact_search | Thermomechanical modeling of shape memory alloys at different length scales |
| title_exact_search_txtP | Thermomechanical modeling of shape memory alloys at different length scales |
| title_full | Thermomechanical modeling of shape memory alloys at different length scales Claus Oberste-Brandenburg |
| title_fullStr | Thermomechanical modeling of shape memory alloys at different length scales Claus Oberste-Brandenburg |
| title_full_unstemmed | Thermomechanical modeling of shape memory alloys at different length scales Claus Oberste-Brandenburg |
| title_short | Thermomechanical modeling of shape memory alloys at different length scales |
| title_sort | thermomechanical modeling of shape memory alloys at different length scales |
| topic | Memory-Legierung Thermomechanische Eigenschaft Memory-Legierung swd Thermomechanische Eigenschaft swd Memory-Legierung (DE-588)4120726-9 gnd Thermomechanische Eigenschaft (DE-588)4194417-3 gnd |
| topic_facet | Memory-Legierung Thermomechanische Eigenschaft Hochschulschrift |
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| work_keys_str_mv | AT oberstebrandenburgclaus thermomechanicalmodelingofshapememoryalloysatdifferentlengthscales |