A boundary element method for dynamic analysis of anisotropic elastic, piezoelectric, and thermoelastic solids:
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| Format: | Book |
| Language: | English |
| Published: |
Stuttgart
Inst. A für Mechanik
2000
|
| Series: | Bericht aus dem Institut A für Mechanik
2000,6 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Zugl.: Stuttgart, Univ., Diss., 2000 |
| Physical Description: | XVIII, 142 S. graph. Darst. : 20 cm |
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MARC
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| 100 | 1 | |a Kögl, Martin |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a A boundary element method for dynamic analysis of anisotropic elastic, piezoelectric, and thermoelastic solids |c vorgelegt von Martin Kögl. Institut A für Mechanik der Universität Stuttgart |
| 264 | 1 | |a Stuttgart |b Inst. A für Mechanik |c 2000 | |
| 300 | |a XVIII, 142 S. |b graph. Darst. : 20 cm | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Bericht aus dem Institut A für Mechanik |v 2000,6 | |
| 500 | |a Zugl.: Stuttgart, Univ., Diss., 2000 | ||
| 655 | 7 | |0 (DE-588)4113937-9 |a Hochschulschrift |2 gnd-content | |
| 830 | 0 | |a Bericht aus dem Institut A für Mechanik |v 2000,6 |w (DE-604)BV009886022 |9 2000,6 | |
| 856 | 4 | 2 | |m DNB Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009304463&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-009304463 | |
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CONTENTS
LIST
OF
SYMBOLS
AND
ABBREVIATIONS
IX
ABSTRACT
XV
KURZFASSUNG
XVII
1
INTRODUCTION
1
1.1
MOTIVATION
.
1
1.2
LITERATURE
OVERVIEW
.
3
1.2.1
HISTORIC
DEVELOPMENT
OF
BEM
.
3
1.2.2
BOUNDARY
ELEMENTS
IN
ANISOTROPIC
ELASTICITY
.
4
1.2.3
BOUNDARY
ELEMENTS
IN
PIEZOELECTRICITY
.
5
1.2.4
BOUNDARY
ELEMENTS
IN
THERMOELASTICITY
.
6
1.3
OUTLINE
OF
CONTENTS
.
7
2
BASIC
EQUATIONS
9
2.1
CRYSTAL
AEOLOTROPY
AND
MATERIAL
ANISOTROPY
.
9
2.2
ELASTODYNAMICS
.
10
2.3
PIEZOELECTRICITY
.
11
2.3.1
MAXWELL
'
S
EQUATIONS
OF
ELECTRODYNAMICS
.
12
2.3.2
COUPLED
PIEZOELECTRIC
EQUATIONS
.
13
2.4
THERMOELASTICITY
.
16
2.4.1
HEAT
CONDUCTION
.
16
2.4.2
COUPLED
THERMOELASTICITY
.
17
2.4.3
SIMPLIFIED
THERMOELASTIC
THEORIES
.
18
2.4.4
A
NOTE
ON
HYPERBOLIC
HEAT
CONDUCTION
.
21
3
FEM
AND
BEM:
DIFFERENCES
AND
COMMON
FEATURES
23
3.1
GENERAL
FEATURES
.
23
3.2
COMPARISON
OF
FE
AND
BE
FORMULATIONS
.
24
VI
CONTENTS
4
DUAL
RECIPROCITY
FORMULATION
29
4.1
INTRODUCTION
.
30
4.2
ANISOTROPIC
ELASTODYNAMICS
.
30
4.2.1
REPRESENTATION
FORMULA
.
30
4.2.2
DUAL
RECIPROCITY
FORMULATION
.
32
4.2.3
BOUNDARY
INTEGRAL
EQUATION
AND
DISCRETIZATION
.
33
4.2.4
SYSTEM
OF
EQUATIONS
.
34
4.2.5
ABOUT
THE
USE
OF
INTERNAL
NODES
.
35
4.3
DYNAMIC
PIEZOELECTRICITY
.
35
4.3.1
DUAL
RECIPROCITY
FORMULATION
.
36
4.3.2
COEFFICIENTS
A
AND
SYSTEM
OF
EQUATIONS
.
37
4.4
DYNAMIC
COUPLED
THERMOELASTICITY
.
39
4.4.1
THERMOELASTIC
REPRESENTATION
FORMULAE
.
39
4.4.2
DUAL
RECIPROCITY
FORMULATION
.
43
4.4.3
COEFFICIENTS
A
.
45
4.4.4
SYSTEM
OF
EQUATIONS
.
47
5
ANISOTROPIC
FUNDAMENTAL
AND
PARTICULAR
SOLUTIONS
51
5.1
FUNDAMENTAL
SOLUTIONS
.
52
5.1.1
ANISOTROPIC
HEAT
CONDUCTION
.
52
5.1.2
ANISOTROPIC
ELASTOSTATICS
.
53
5.1.3
PIEZOELECTRICITY
.
54
5.2
IMPLEMENTATION
OF
FUNDAMENTAL
SOLUTIONS
.
54
5.2.1
INTERPOLATION
SCHEME
.
55
5.2.2
CONVERGENCE
OF
INTERPOLATION
.
56
5.2.3
ABOUT
THE
USE
OF
THE
FREQUENCY
DOMAIN
FUNDAMENTAL
SOLUTION
.
59
5.3
PARTICULAR
SOLUTIONS
.
62
5.3.1
ANISOTROPIC
HEAT
CONDUCTION
.
64
5.3.2
ANISOTROPIC
ELASTOSTATICS
.
64
5.3.3
PIEZOELECTRICITY
.
65
5.4
IMPLEMENTATION
OF
PARTICULAR
SOLUTIONS
.
65
6
SOLUTION
PROCEDURES
67
6.1
ELASTOMECHANICS
.
67
6.1.1
STATIC
AND
FORCED
VIBRATION
ANALYSIS
.
69
6.1.2
FREE
VIBRATION
ANALYSIS
.
69
6.1.3
TRANSIENT
ANALYSIS
.
70
6.1.4
INSTABILITIES
IN
TIME
INTEGRATION
.
75
6.2
PIEZOELECTRICITY
.
83
6.2.1
STATIC
PIEZOELECTRICITY
.
83
6.2.2
DYNAMIC
PIEZOELECTRICITY
.
84
6.3
PARABOLIC
HEAT
CONDUCTION
.
84
6.4
THERRNOELASTICITY
.
86
6.4.1
STATIONARY
THERRNOELASTICITY
.
86
6.4.2
UNCOUPLED
QUASI-STATIC
THERMOELASTICITY
.
86
6.4.3
THEORY
OF
THERMAL
STRESSES
.
86
6.4.4
COUPLED
QUASI-STATIC
THERRNOELASTICITY
.
87
6.4.5
FULLY
COUPLED
THERRNOELASTICITY
.
88
7
NUMERICAL
EXAMPLES
89
7.1
ANISOTROPIC
ELASTOMECHANICS
.
91
7.1.1
ELASTOSTATICS
.
91
7.1.2
ELASTODYNAMICS
.
92
7.2
PIEZOELECTRICITY
.
108
7.2.1
STATIC
PIEZOELECTRIC
ANALYSIS
.
108
7.2.2
TRANSIENT
PIEZOELECTRIC
ANALYSIS
.
110
7.3
ANISOTROPIC
THERRNOELASTICITY
.
112
7.3.1
STATIONARY
THERMOELASTICITY
.
112
7.3.2
QUASI-STATIC
THERRNOELASTICITY
.
115
8
CONCLUSIONS
AND
FUTURE
DEVELOPMENTS
119
8.1
CONCLUSIONS
.
119
8.2
FUTURE
DEVELOPMENTS
.
120
A
PROPERTIES
OF
ELASTIC
MATERIALS
123
B
DERIVATION
OF
FUNDAMENTAL
SOLUTIONS
125
B.L
ANISOTROPIC
HEAT
CONDUCTION
.
125
B.2
ANISOTROPIC
ELASTOSTATICS
.
127
REFERENCES
131 |
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| indexdate | 2024-08-17T00:45:51Z |
| institution | BVB |
| language | English |
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| physical | XVIII, 142 S. graph. Darst. : 20 cm |
| publishDate | 2000 |
| publishDateSearch | 2000 |
| publishDateSort | 2000 |
| publisher | Inst. A für Mechanik |
| record_format | marc |
| series | Bericht aus dem Institut A für Mechanik |
| series2 | Bericht aus dem Institut A für Mechanik |
| spelling | Kögl, Martin Verfasser aut A boundary element method for dynamic analysis of anisotropic elastic, piezoelectric, and thermoelastic solids vorgelegt von Martin Kögl. Institut A für Mechanik der Universität Stuttgart Stuttgart Inst. A für Mechanik 2000 XVIII, 142 S. graph. Darst. : 20 cm txt rdacontent n rdamedia nc rdacarrier Bericht aus dem Institut A für Mechanik 2000,6 Zugl.: Stuttgart, Univ., Diss., 2000 (DE-588)4113937-9 Hochschulschrift gnd-content Bericht aus dem Institut A für Mechanik 2000,6 (DE-604)BV009886022 2000,6 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009304463&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Kögl, Martin A boundary element method for dynamic analysis of anisotropic elastic, piezoelectric, and thermoelastic solids Bericht aus dem Institut A für Mechanik |
| subject_GND | (DE-588)4113937-9 |
| title | A boundary element method for dynamic analysis of anisotropic elastic, piezoelectric, and thermoelastic solids |
| title_auth | A boundary element method for dynamic analysis of anisotropic elastic, piezoelectric, and thermoelastic solids |
| title_exact_search | A boundary element method for dynamic analysis of anisotropic elastic, piezoelectric, and thermoelastic solids |
| title_full | A boundary element method for dynamic analysis of anisotropic elastic, piezoelectric, and thermoelastic solids vorgelegt von Martin Kögl. Institut A für Mechanik der Universität Stuttgart |
| title_fullStr | A boundary element method for dynamic analysis of anisotropic elastic, piezoelectric, and thermoelastic solids vorgelegt von Martin Kögl. Institut A für Mechanik der Universität Stuttgart |
| title_full_unstemmed | A boundary element method for dynamic analysis of anisotropic elastic, piezoelectric, and thermoelastic solids vorgelegt von Martin Kögl. Institut A für Mechanik der Universität Stuttgart |
| title_short | A boundary element method for dynamic analysis of anisotropic elastic, piezoelectric, and thermoelastic solids |
| title_sort | a boundary element method for dynamic analysis of anisotropic elastic piezoelectric and thermoelastic solids |
| topic_facet | Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009304463&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV009886022 |
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