Jan Awrejcewicz, Vadim Anatolevich Krys'ko, Anton V. Krys'ko

Thermo-Dynamics of Plates and Shells (eBook, PDF)

• Format: PDF

Produktbeschreibung

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.

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Produktdetails

• Verlag: Springer Berlin Heidelberg
• Seitenzahl: 777
• Erscheinungstermin: 15. Februar 2007
• Englisch
• ISBN-13: 9783540342625
• Artikelnr.: 37367297

Inhaltsangabe

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.- 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.