Thermo-dynamics of plates and shells

Jan Awrejcewicz, Anton V. Krysko, Vadim A. Krysko, V. I. Babitsky, J. Wittenburg

Research output: Book/ReportBook

58 Citations (Scopus)

Abstract

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.

Original languageEnglish
PublisherSpringer Berlin Heidelberg
Number of pages777
ISBN (Print)3540342613, 9783540342618
DOIs
Publication statusPublished - 1 Dec 2007
Externally publishedYes

ASJC Scopus subject areas

  • Engineering(all)

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    Awrejcewicz, J., Krysko, A. V., Krysko, V. A., Babitsky, V. I., & Wittenburg, J. (2007). Thermo-dynamics of plates and shells. Springer Berlin Heidelberg. https://doi.org/10.1007/978-3-540-34262-5