Mathematical methods for elastic plates:
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| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
London [u.a.]
Springer
2014
|
| Series: | Springer monographs in mathematics
|
| Subjects: | |
| Online Access: | BTU01 FRO01 TUM01 UBA01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract |
| Physical Description: | 1 Online-Ressource |
| ISBN: | 9781447164333 9781447164340 |
| DOI: | 10.1007/978-1-4471-6434-0 |
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Record in the Search Index
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|---|---|
| adam_text | MATHEMATICAL METHODS FOR ELASTIC PLATES
/ CONSTANDA, CHRISTIAN
: 2014
TABLE OF CONTENTS / INHALTSVERZEICHNIS
SINGULAR KERNELS
POTENTIALS AND BOUNDARY INTEGRAL EQUATIONS
BENDING OF ELASTIC PLATES
THE LAYER POTENTIALS
THE NEWTONIAN POTENTIAL
EXISTENCE OF REGULAR SOLUTIONS
COMPLEX VARIABLE TREATMENT
GENERALIZED FOURIER SERIES
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
MATHEMATICAL METHODS FOR ELASTIC PLATES
/ CONSTANDA, CHRISTIAN
: 2014
ABSTRACT / INHALTSTEXT
MATHEMATICAL MODELS OF DEFORMATION OF ELASTIC PLATES ARE USED BY APPLIED
MATHEMATICIANS AND ENGINEERS IN CONNECTION WITH A WIDE RANGE OF
PRACTICAL APPLICATIONS, FROM MICROCHIP PRODUCTION TO THE CONSTRUCTION OF
SKYSCRAPERS AND AIRCRAFT. THIS BOOK EMPLOYS TWO IMPORTANT ANALYTIC
TECHNIQUES TO SOLVE THE FUNDAMENTAL BOUNDARY VALUE PROBLEMS FOR THE
THEORY OF PLATES WITH TRANSVERSE SHEAR DEFORMATION, WHICH OFFERS A MORE
COMPLETE PICTURE OF THE PHYSICAL PROCESS OF BENDING THAN KIRCHHOFF’S
CLASSICAL ONE. THE FIRST METHOD TRANSFERS THE ELLIPTICITY OF THE
GOVERNING SYSTEM TO THE BOUNDARY, LEADING TO SINGULAR INTEGRAL EQUATIONS
ON THE CONTOUR OF THE DOMAIN. THESE EQUATIONS, ESTABLISHED ON THE BASIS
OF THE PROPERTIES OF SUITABLE LAYER POTENTIALS, ARE THEN SOLVED IN
SPACES OF SMOOTH (HOELDER CONTINUOUS AND HOELDER CONTINUOUSLY
DIFFERENTIABLE) FUNCTIONS. THE SECOND TECHNIQUE REWRITES THE
DIFFERENTIAL SYSTEM IN TERMS OF COMPLEX VARIABLES AND FULLY INTEGRATES
IT, EXPRESSING THE SOLUTION AS A COMBINATION OF COMPLEX ANALYTIC
POTENTIALS. THE LAST CHAPTER DEVELOPS A GENERALIZED FOURIER SERIES
METHOD CLOSELY CONNECTED WITH THE STRUCTURE OF THE SYSTEM, WHICH CAN BE
USED TO COMPUTE APPROXIMATE SOLUTIONS. THE NUMERICAL RESULTS GENERATED
AS AN ILLUSTRATION FOR THE INTERIOR DIRICHLET PROBLEM ARE ACCOMPANIED BY
REMARKS REGARDING THE EFFICIENCY AND ACCURACY OF THE PROCEDURE. THE
PRESENTATION OF THE MATERIAL IS DETAILED AND SELF-CONTAINED, MAKING
MATHEMATICAL METHODS FOR ELASTIC PLATES ACCESSIBLE TO RESEARCHERS AND
GRADUATE STUDENTS WITH A BASIC KNOWLEDGE OF ADVANCED CALCULUS
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
| any_adam_object | 1 |
| author | Constanda, Christian 1944- |
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| discipline | Mathematik |
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| spelling | Constanda, Christian 1944- Verfasser (DE-588)112608027 aut Mathematical methods for elastic plates Christian Constanda London [u.a.] Springer 2014 1 Online-Ressource txt rdacontent c rdamedia cr rdacarrier Springer monographs in mathematics Mathematisches Modell (DE-588)4114528-8 gnd rswk-swf Elastische Platte (DE-588)4151682-5 gnd rswk-swf Elastische Platte (DE-588)4151682-5 s Mathematisches Modell (DE-588)4114528-8 s DE-604 https://doi.org/10.1007/978-1-4471-6434-0 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027389937&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027389937&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract |
| spellingShingle | Constanda, Christian 1944- Mathematical methods for elastic plates Mathematisches Modell (DE-588)4114528-8 gnd Elastische Platte (DE-588)4151682-5 gnd |
| subject_GND | (DE-588)4114528-8 (DE-588)4151682-5 |
| title | Mathematical methods for elastic plates |
| title_auth | Mathematical methods for elastic plates |
| title_exact_search | Mathematical methods for elastic plates |
| title_full | Mathematical methods for elastic plates Christian Constanda |
| title_fullStr | Mathematical methods for elastic plates Christian Constanda |
| title_full_unstemmed | Mathematical methods for elastic plates Christian Constanda |
| title_short | Mathematical methods for elastic plates |
| title_sort | mathematical methods for elastic plates |
| topic | Mathematisches Modell (DE-588)4114528-8 gnd Elastische Platte (DE-588)4151682-5 gnd |
| topic_facet | Mathematisches Modell Elastische Platte |
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