Thermo-Dynamics of Plates and Shells

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Foundations of Engineering Mechanics

ISBN: 3642070655
ISBN 13: 9783642070655
Autor: Awrejcewicz, Jan/Krys’ko, Vadim Anatolevich/Krys’ko, Anton V
Verlag: Springer Verlag GmbH
Umfang: xii, 777 S.
Erscheinungsdatum: 30.11.2010
Auflage: 1/2007
Produktform: Kartoniert
Einband: KT

This monograph is devoted to the investigation of nonlinear dynamics of plates and shells embedded in a temperature field. Numerical approaches and rigorous mathematical proofs of solution existence in certain classes of differential equations with various dimensions are applied. Both closed shell-type constructions and sectorial shells are studied. The considered problems are approximated by 2D and 3D constructions taking into account various types of nonlinearities (geometrical and/or physical with coupled deformation and temperature fields), and are subjected to an action of stationary and non-stationary thermal loads. Variational and finite difference numerical approaches are used to study numerous problems important for civil and mechanical engineering. Furthermore, a novel and exact computational method to solve large systems of linear algebraic equations especially suitable for computational speed and memory storage of a computer is proposed. This book is expected to be useful for researchers, engineers and students dealing with thermal and dynamical problems of stability and strength of shell-type constructions.

Artikelnummer: 1563634 Kategorie:

Beschreibung

InhaltsangabeThree-Dimensional Problems of Theory of Plates in Temperature Field.- Stability of Rectangular Shells within Temperature Field.- Dynamical Behaviour and Stability of Closed Cylindrical Shells.- Dynamical Behaviour and Stability of Rectangular Shells with Thermal Load.- Dynamical Behaviour and Stability of Flexurable Sectorial Shells.- Coupled Problems of Thin Shallow Shells in a Temperature Field.- Novel Solution Method for a System of Linear Algebraic Equations.- Mathematical Approaches to Coupled Termomechanical Problems.

Inhaltsverzeichnis

Three-Dimensional Problems of Theory of Plates in Temperature Field.- Stability of Rectangular Shells within Temperature Field.- Dynamical Behaviour and Stability of Closed Cylindrical Shells with Continuous Thermal Load.- Dynamical Behaviour and Stability of Rectangular Shells with Thermal Load.- Dynamical Behaviour and Stability of Flexurable Sectorial Shells with Thermal Load.-Coupled Problems of Thin Shallow Shells in a Temperature Field within Kirchhoff-Love Kinematic Model.- Novel Solution Method for a System of Linear Algebraic Equations.- Mathematical Approaches to Coupled Termomechanical Problems.

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