Green's functions in applied mechanics:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Southampton [u.a.]
Computational Mechanics Publ.
1995
|
| Series: | Topics in engineering
27 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 267 S. graph. Darst. |
| ISBN: | 1853123870 1562523112 |
Staff View
MARC
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| 100 | 1 | |a Melnikov, Yu. A. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Green's functions in applied mechanics |c Yu. A. Melnikov |
| 246 | 1 | 3 | |a Three-dimensional analysis of crack growth |
| 264 | 1 | |a Southampton [u.a.] |b Computational Mechanics Publ. |c 1995 | |
| 300 | |a 267 S. |b graph. Darst. | ||
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Record in the Search Index
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| adam_text | Contents
INTRODUCTION 1
CHAPTER I GREEN S FUNCTIONS FOR LAPLACE S
AND HELMHOLTZ S EQUATIONS 7
1.1 Linear Ordinary Differential Equations 8
1.2 Laplace s Equation in Cartesian Coordinates 20
1.3 Laplace s Equation in Polar Coordinates 35
1.4 Laplace s Operator on Surfaces of Revolution 43
1.5 Helmholtz s Equation 48
CHAPTER II MATRICES OF GREEN S TYPE FOR
COMPOUND MEDIA 61
2.1 Media Composed of Nonhomogeneous Materials 63
2.2 A Cylindrical Surface Joined to a Hemisphere 79
2.3 A Cylindrical Surface Joined to a Circular Plate 87
2.4 A Hemisphere Joined to a Spherical Belt 91
2.5 A Circular Plate Joined to a Toroidal Surface 96
2.6 A Saturn Type Surface 100
CHAPTER III GREEN S FUNCTIONS AND MATRICES
FOR EQUATIONS OF HIGHER ORDER 107
3.1 Biharmonic Equation 108
3.2 Lame s System for the Plane Problem in Theory of Elasticity 118
3.3 The Plane Problem for Orthotropic Media 130
3.4 The Plane Problem for Compound Media 136
CHAPTER IV GEOMETRICALLY NONLINEAR PROBLEMS
FROM THE THEORY OF PLATES 147
4.1 Geometric Nonlinearity for Plates with Variable Thickness 148
4.2 Iterative Procedure for a Bending of Parallel Plates 157
4.3 Green s Function Approach 162
4.4 General Algorithm 166
4.5 Numerical Results and their Discussion 169
CHAPTER V GREEN S MATRICES AND TWO DIMENSIONAL
ELASTO POTENTIALS 183
5.1 Perfect Contact of an Elastic Plane with
an Absolutely Rigid Inclusion 184
5.2 Detachment of an Inclusion from an Elastic Plane 189
5.3 Regularization Procedure for Fredholm Integral Equations
of the First Kind with Logarithmic Kernel 196
CHAPTER VI A NEW APPROACH TO TWO DIMENSIONAL
OPTIMAL EIGENVALUE SHAPE DESIGN 203
6.1 Green s Functions Serve the Optimal Shape Design 204
6.2 Potential Representations of Eigenfunctions
and their Derivatives 211
6.3 Isoperimetric Constraints in the Material
Derivative Method 220
6.4 Computation of Eigenvalues and Vector Fields 223
6.5 Computational Procedure for the Eigenvalue Shape Design 234
CONCLUDING REMARKS 241
REFERENCES 249
INDEX 255
|
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| classification_tum | PHY 013f MAT 350f |
| ctrlnum | (OCoLC)33487014 (DE-599)BVBBV010997865 |
| dewey-full | 515.353 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.353 |
| dewey-search | 515.353 |
| dewey-sort | 3515.353 |
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| discipline | Physik Mathematik |
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| id | DE-604.BV010997865 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T18:02:21Z |
| institution | BVB |
| isbn | 1853123870 1562523112 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007362223 |
| oclc_num | 33487014 |
| open_access_boolean | |
| owner | DE-355 DE-BY-UBR DE-91 DE-BY-TUM |
| owner_facet | DE-355 DE-BY-UBR DE-91 DE-BY-TUM |
| physical | 267 S. graph. Darst. |
| publishDate | 1995 |
| publishDateSearch | 1995 |
| publishDateSort | 1995 |
| publisher | Computational Mechanics Publ. |
| record_format | marc |
| series | Topics in engineering |
| series2 | Topics in engineering |
| spelling | Melnikov, Yu. A. Verfasser aut Green's functions in applied mechanics Yu. A. Melnikov Three-dimensional analysis of crack growth Southampton [u.a.] Computational Mechanics Publ. 1995 267 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Topics in engineering 27 Engenharia mecanica larpcal Mathematik Green's functions Mechanics, Applied Mathematics Angewandte Mathematik (DE-588)4142443-8 gnd rswk-swf Green-Funktion (DE-588)4158123-4 gnd rswk-swf Green-Funktion (DE-588)4158123-4 s Angewandte Mathematik (DE-588)4142443-8 s DE-604 Topics in engineering 27 (DE-604)BV001897978 27 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007362223&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Melnikov, Yu. A. Green's functions in applied mechanics Topics in engineering Engenharia mecanica larpcal Mathematik Green's functions Mechanics, Applied Mathematics Angewandte Mathematik (DE-588)4142443-8 gnd Green-Funktion (DE-588)4158123-4 gnd |
| subject_GND | (DE-588)4142443-8 (DE-588)4158123-4 |
| title | Green's functions in applied mechanics |
| title_alt | Three-dimensional analysis of crack growth |
| title_auth | Green's functions in applied mechanics |
| title_exact_search | Green's functions in applied mechanics |
| title_full | Green's functions in applied mechanics Yu. A. Melnikov |
| title_fullStr | Green's functions in applied mechanics Yu. A. Melnikov |
| title_full_unstemmed | Green's functions in applied mechanics Yu. A. Melnikov |
| title_short | Green's functions in applied mechanics |
| title_sort | green s functions in applied mechanics |
| topic | Engenharia mecanica larpcal Mathematik Green's functions Mechanics, Applied Mathematics Angewandte Mathematik (DE-588)4142443-8 gnd Green-Funktion (DE-588)4158123-4 gnd |
| topic_facet | Engenharia mecanica Mathematik Green's functions Mechanics, Applied Mathematics Angewandte Mathematik Green-Funktion |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007362223&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV001897978 |
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