Cn-continuous mortar method for Isogeometric Analysis:
Saved in:
| Main Author: | |
|---|---|
| Format: | Thesis Book |
| Language: | English |
| Published: |
Siegen
universi - Universitätsverlag Siegen
2024
|
| Series: | Publication series of the Chair of computational mechanics
Vol. 1 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | xxv, 142 Seiten Illustrationen, Diagramme 24 cm x 17 cm |
| ISBN: | 9783961821693 3961821690 |
Staff View
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| 100 | 1 | |a Schuß, Stefan |e Verfasser |0 (DE-588)132225480X |4 aut | |
| 245 | 1 | 0 | |a Cn-continuous mortar method for Isogeometric Analysis |c Stefan Schuß |
| 264 | 1 | |a Siegen |b universi - Universitätsverlag Siegen |c 2024 | |
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| 336 | |b txt |2 rdacontent | ||
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| 502 | |b Dissertation |c Universität Siegen |d 2024 | ||
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| 653 | |a Mortar | ||
| 653 | |a Cn-continuous | ||
| 653 | |a Multi-patch | ||
| 653 | |a Higher-order | ||
| 653 | |a IGA | ||
| 653 | |a Crosspoints | ||
| 653 | |a Wirebaskets | ||
| 653 | |a Elasticity | ||
| 653 | |a Phase-Field-Crystal model | ||
| 653 | |a Höhere Ordnung | ||
| 653 | |a Elastizität | ||
| 653 | |a Kirchhoff-Love | ||
| 653 | |a Cahn-Hilliard | ||
| 653 | |a Phasen-Feld-Kristall-Modell | ||
| 653 | |a Cn | ||
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| 776 | 0 | 8 | |i Erscheint auch als |n Online-Ausgabe |a Schuß, Stefan |t Cn-continuous mortar method for Isogeometric Analysis |d Siegen : Universitätsbibliothek der Universität Siegen, 2024 |h Online-Ressource |
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Record in the Search Index
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| adam_text |
CONTENTS
LIST
OF
FIGURES
XI
LIST
OF
TABLES
XVII
LIST
OF
SYMBOLS
XIX
NOTATION
AND
CONVENTIONS
XXIII
1
INTRODUCTION
1
2
THE
ISOGEOMETRIC
CONCEPT
7
2.1
GEOMETRIC
DESIGN
.
7
2.1.1
BASIS
FUNCTIONS
.
8
2.1.2
NURBS
GEOMETRIES
.
13
2.1.3
REFINEMENT
.
17
2.1.4
MULTIPLE
PATCHES
.
18
2.1.5
GEOMETRIC
CONTINUITY
FOR
SURFACES
.
20
2.2
CONSTRUCTION
OF
ISOGEOMETRIC
APPROXIMATION
SPACES
.
21
2.2.1
ISOGEOMETRIC
SPACES
IN
A
SINGLE-PATCH
DOMAIN
.
22
2.2.2
ISOGEOMETRIC
SPACES
IN
A
MULTI-PATCH
DOMAIN
.
23
2.2.3
BASES
OF
PRODUCT
SPACES
.
24
3
EXTENDED
MORTAR
METHOD
27
3.1
ABSTRACT
FRAMEWORK
.
27
3.1.1
UNCOUPLED
PROBLEM
.
27
3.1.2
COUPLING
CONDITIONS
.
28
3.1.3
GENERALISED
COUPLINGS
.
30
3.2
ISOGEOMETRIC
MORTAR
DISCRETIZATION
.
31
3.2.1
DISCRETE
ABSTRACT
FRAMEWORK
.
31
3.2.2
CROSSPOINTS
AND
WIREBASKETS
.
35
3.2.3
EVALUATION
OF
MORTAR
INTEGRALS
.
41
3.2.4
CONSTRUCTION
OF
CONSTRAINED
SPACES
.
43
3.3
NUMERICAL
STUDIES
.
47
4
ELASTICITY
55
4.1
CONFIGURATIONS
AND
MOTIONS
OF
CONTINUUM
BODIES
.
55
4.1.1
CONFIGURATIONS
.
55
4.1.2
MOTIONS
.
56
X
CONTENTS
4.2
CURVILINEAR
COORDINATES
AND
METRIC
PROPERTIES
.
57
4.3
DEFORMATIONS
AND
STRAIN
MEASURES
.
59
4.4
CONSTITUTIVE
EQUATIONS
.
60
4.5
EQUATION
OF
MOTION
AND
MULTI-PATCH
FRAMEWORK
.
62
4.6
KIRCHHOFF-LOVE
SHELL
THEORY
.
65
4.6.1
SHELL-KINEMATICS
.
65
4.6.2
CONSTITUTIVE
EQUATIONS
.
67
4.6.3
MULTI-PATCH
FRAMEWORK
.
68
4.7
NUMERICAL
STUDIES
.
71
4.7.1
SOLID:
PATCH
TEST
.
71
4.7.2
SOLID:
TWISTED
BLOCK
.
74
4.7.3
SHELL:
BENDED
PLATE
.
77
4.7.4
SHELL:
INNER
PRESSURE
.
80
4.7.5
SHELL:
PINCHED
CYLINDER
.
84
5
THERMAL
CONDUCTION
AND
DIFFUSION
89
5.1
CONSERVATION
LAWS
.
89
5.1.1
CONSERVATION
OF
MASS
IN
A
MULTICOMPONENT
SYSTEM
.
89
5.1.2
CONSERVATION
OF
ENERGY
.
91
5.2
PHENOMENOLOGICAL
FORMULATIONS
AND
THE
DIFFERENTIAL
EQUATIONS
.
91
5.2.1
THE
HEAT
EQUATION
AND
MULTI-PATCH
FRAMEWORK
.
92
5.2.2
THE
CAHN-HILLIARD
EQUATION
AND
MULTI-PATCH
FRAMEWORK
.
94
5.3
NUMERICAL
STUDIES
.
96
5.3.1
THERMAL
CONDUCTION
2D
.
96
5.3.2
DIFFUSION
2D
.
100
5.3.3
DIFFUSION
3D
.
104
6
PHASE-FIELD-CRYSTAL
MODELLING
109
6.1
DENSITY
FUNCTIONAL
THEORY
.
109
6.1.1
STATIC
DENSITY
FUNCTIONAL
THEORY
.
110
6.1.2
DYNAMIC
DENSITY
FUNCTIONAL
THEORY
.
112
6.2
PHASE-FIELD
CRYSTAL
MODEL
.
113
6.2.1
FREE
ENERGY
FUNCTIONAL
.
113
6.2.2
THE
PHASE-FIELD
CRYSTAL
EQUATION
AND
MULTI-PATCH
FRAMEWORK.
.
115
6.3
NUMERICAL
STUDIES
.
116
6.3.1
CRYSTAL
GROWTH
2D
.
116
6.3.2
CRYSTAL
GROWTH
3D
.
120
7
SUMMARY
AND
OUTLOOK
125
APPENDIX
A
TEMPORAL
DISCRETISATION
127
APPENDIX
B
MATERIAL
DATA
FOR
TIN-LEAD
ALLOYS
129
BIBLIOGRAPHY
131 |
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| building | Verbundindex |
| bvnumber | BV049597726 |
| ctrlnum | (OCoLC)1425128193 (DE-599)DNB1321920601 |
| format | Thesis Book |
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| series2 | Publication series of the Chair of computational mechanics |
| spelling | Schuß, Stefan Verfasser (DE-588)132225480X aut Cn-continuous mortar method for Isogeometric Analysis Stefan Schuß Siegen universi - Universitätsverlag Siegen 2024 xxv, 142 Seiten Illustrationen, Diagramme 24 cm x 17 cm txt rdacontent n rdamedia nc rdacarrier Publication series of the Chair of computational mechanics Vol. 1 Dissertation Universität Siegen 2024 NURBS (DE-588)4376916-0 gnd rswk-swf Phasenfeldmodell (DE-588)4736241-8 gnd rswk-swf Isogeometrische Analyse (DE-588)7718401-4 gnd rswk-swf Mortar Cn-continuous Multi-patch Higher-order IGA Crosspoints Wirebaskets Elasticity Phase-Field-Crystal model Höhere Ordnung Elastizität Kirchhoff-Love Cahn-Hilliard Phasen-Feld-Kristall-Modell Cn (DE-588)4113937-9 Hochschulschrift gnd-content Isogeometrische Analyse (DE-588)7718401-4 s NURBS (DE-588)4376916-0 s Phasenfeldmodell (DE-588)4736241-8 s DE-604 Universität Siegen universi - Universitätsverlag Siegen (DE-588)1068101598 pbl Erscheint auch als Online-Ausgabe Schuß, Stefan Cn-continuous mortar method for Isogeometric Analysis Siegen : Universitätsbibliothek der Universität Siegen, 2024 Online-Ressource Publication series of the Chair of computational mechanics Vol. 1 (DE-604)BV049597714 1 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=034942233&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p vlb 20240228 DE-101 https://d-nb.info/provenance/plan#vlb |
| spellingShingle | Schuß, Stefan Cn-continuous mortar method for Isogeometric Analysis Publication series of the Chair of computational mechanics NURBS (DE-588)4376916-0 gnd Phasenfeldmodell (DE-588)4736241-8 gnd Isogeometrische Analyse (DE-588)7718401-4 gnd |
| subject_GND | (DE-588)4376916-0 (DE-588)4736241-8 (DE-588)7718401-4 (DE-588)4113937-9 |
| title | Cn-continuous mortar method for Isogeometric Analysis |
| title_auth | Cn-continuous mortar method for Isogeometric Analysis |
| title_exact_search | Cn-continuous mortar method for Isogeometric Analysis |
| title_exact_search_txtP | Cn-continuous mortar method for Isogeometric Analysis |
| title_full | Cn-continuous mortar method for Isogeometric Analysis Stefan Schuß |
| title_fullStr | Cn-continuous mortar method for Isogeometric Analysis Stefan Schuß |
| title_full_unstemmed | Cn-continuous mortar method for Isogeometric Analysis Stefan Schuß |
| title_short | Cn-continuous mortar method for Isogeometric Analysis |
| title_sort | cn continuous mortar method for isogeometric analysis |
| topic | NURBS (DE-588)4376916-0 gnd Phasenfeldmodell (DE-588)4736241-8 gnd Isogeometrische Analyse (DE-588)7718401-4 gnd |
| topic_facet | NURBS Phasenfeldmodell Isogeometrische Analyse Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=034942233&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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| work_keys_str_mv | AT schußstefan cncontinuousmortarmethodforisogeometricanalysis AT universitatsiegenuniversiuniversitatsverlagsiegen cncontinuousmortarmethodforisogeometricanalysis |