The Theory of Anisotropic Elastic Plates:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Dordrecht
Springer Netherlands
1999
|
| Schriftenreihe: | Mathematics and Its Applications
476 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | The main purpose of this work is construction of the mathematical theory of elastic plates and shells, by means of which the investigation of basic boundary value problems of the spatial theory of elasticity in the case of cylindrical do mains reduces to the study of two-dimensional boundary value problems (BVP) of comparatively simple structure. In this respect in sections 2-5 after the introductory material, methods of re duction, known in the literature as usually being based on simplifying hypotheses, are studied. Here, in contradiction to classical methods, the problems, connected with construction of refined theories of anisotropic nonhomogeneous plates with variable thickness without the assumption of any physical and geometrical re strictions, are investigated. The comparative analysis of such reduction methods was carried out, and, in particular, in section 5, the following fact was established: the error transition, occuring with substitution of a two-dimensional model for the initial problem on the class of assumed solutions is restricted from below. Further, in section 6, Vekua's method of reduction, containing regular pro cess of study of three-dimensional problem, is investigated. In this direction, the problems, connected with solvability, convergence of processes, and construction of effective algorithms of approximate solutions are studied |
| Beschreibung: | 1 Online-Ressource (XV, 243 p) |
| ISBN: | 9789401734790 9789048152155 |
| DOI: | 10.1007/978-94-017-3479-0 |
Internformat
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| 500 | |a The main purpose of this work is construction of the mathematical theory of elastic plates and shells, by means of which the investigation of basic boundary value problems of the spatial theory of elasticity in the case of cylindrical do mains reduces to the study of two-dimensional boundary value problems (BVP) of comparatively simple structure. In this respect in sections 2-5 after the introductory material, methods of re duction, known in the literature as usually being based on simplifying hypotheses, are studied. Here, in contradiction to classical methods, the problems, connected with construction of refined theories of anisotropic nonhomogeneous plates with variable thickness without the assumption of any physical and geometrical re strictions, are investigated. The comparative analysis of such reduction methods was carried out, and, in particular, in section 5, the following fact was established: the error transition, occuring with substitution of a two-dimensional model for the initial problem on the class of assumed solutions is restricted from below. Further, in section 6, Vekua's method of reduction, containing regular pro cess of study of three-dimensional problem, is investigated. In this direction, the problems, connected with solvability, convergence of processes, and construction of effective algorithms of approximate solutions are studied | ||
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Datensatz im Suchindex
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| isbn | 9789401734790 9789048152155 |
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| spelling | Vashakmadze, Tamaz S. Verfasser aut The Theory of Anisotropic Elastic Plates by Tamaz S. Vashakmadze Dordrecht Springer Netherlands 1999 1 Online-Ressource (XV, 243 p) txt rdacontent c rdamedia cr rdacarrier Mathematics and Its Applications 476 The main purpose of this work is construction of the mathematical theory of elastic plates and shells, by means of which the investigation of basic boundary value problems of the spatial theory of elasticity in the case of cylindrical do mains reduces to the study of two-dimensional boundary value problems (BVP) of comparatively simple structure. In this respect in sections 2-5 after the introductory material, methods of re duction, known in the literature as usually being based on simplifying hypotheses, are studied. Here, in contradiction to classical methods, the problems, connected with construction of refined theories of anisotropic nonhomogeneous plates with variable thickness without the assumption of any physical and geometrical re strictions, are investigated. The comparative analysis of such reduction methods was carried out, and, in particular, in section 5, the following fact was established: the error transition, occuring with substitution of a two-dimensional model for the initial problem on the class of assumed solutions is restricted from below. Further, in section 6, Vekua's method of reduction, containing regular pro cess of study of three-dimensional problem, is investigated. In this direction, the problems, connected with solvability, convergence of processes, and construction of effective algorithms of approximate solutions are studied Physics Electronic data processing Global analysis (Mathematics) Mathematical optimization Mechanics Analysis Numeric Computing Mathematical Modeling and Industrial Mathematics Calculus of Variations and Optimal Control; Optimization Datenverarbeitung Anisotrope Platte (DE-588)4142500-5 gnd rswk-swf Elastische Platte (DE-588)4151682-5 gnd rswk-swf Elastische Platte (DE-588)4151682-5 s Anisotrope Platte (DE-588)4142500-5 s 1\p DE-604 https://doi.org/10.1007/978-94-017-3479-0 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Vashakmadze, Tamaz S. The Theory of Anisotropic Elastic Plates Physics Electronic data processing Global analysis (Mathematics) Mathematical optimization Mechanics Analysis Numeric Computing Mathematical Modeling and Industrial Mathematics Calculus of Variations and Optimal Control; Optimization Datenverarbeitung Anisotrope Platte (DE-588)4142500-5 gnd Elastische Platte (DE-588)4151682-5 gnd |
| subject_GND | (DE-588)4142500-5 (DE-588)4151682-5 |
| title | The Theory of Anisotropic Elastic Plates |
| title_auth | The Theory of Anisotropic Elastic Plates |
| title_exact_search | The Theory of Anisotropic Elastic Plates |
| title_full | The Theory of Anisotropic Elastic Plates by Tamaz S. Vashakmadze |
| title_fullStr | The Theory of Anisotropic Elastic Plates by Tamaz S. Vashakmadze |
| title_full_unstemmed | The Theory of Anisotropic Elastic Plates by Tamaz S. Vashakmadze |
| title_short | The Theory of Anisotropic Elastic Plates |
| title_sort | the theory of anisotropic elastic plates |
| topic | Physics Electronic data processing Global analysis (Mathematics) Mathematical optimization Mechanics Analysis Numeric Computing Mathematical Modeling and Industrial Mathematics Calculus of Variations and Optimal Control; Optimization Datenverarbeitung Anisotrope Platte (DE-588)4142500-5 gnd Elastische Platte (DE-588)4151682-5 gnd |
| topic_facet | Physics Electronic data processing Global analysis (Mathematics) Mathematical optimization Mechanics Analysis Numeric Computing Mathematical Modeling and Industrial Mathematics Calculus of Variations and Optimal Control; Optimization Datenverarbeitung Anisotrope Platte Elastische Platte |
| url | https://doi.org/10.1007/978-94-017-3479-0 |
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