Thermo-dynamics of plates and shells

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

Research output: Book/ReportBook

55 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

Fingerprint

Temperature distribution
Mechanical engineering
Thermal load
Computational methods
Civil engineering
Linear equations
Differential equations
Students
Data storage equipment
Engineers
Hot Temperature

ASJC Scopus subject areas

  • Engineering(all)

Cite this

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

Thermo-dynamics of plates and shells. / Awrejcewicz, Jan; Krysko, Anton V.; Krysko, Vadim A.; Babitsky, V. I.; Wittenburg, J.

Springer Berlin Heidelberg, 2007. 777 p.

Research output: Book/ReportBook

Awrejcewicz, J, Krysko, AV, Krysko, VA, Babitsky, VI & Wittenburg, J 2007, Thermo-dynamics of plates and shells. Springer Berlin Heidelberg. https://doi.org/10.1007/978-3-540-34262-5
Awrejcewicz J, Krysko AV, Krysko VA, Babitsky VI, Wittenburg J. Thermo-dynamics of plates and shells. Springer Berlin Heidelberg, 2007. 777 p. https://doi.org/10.1007/978-3-540-34262-5
Awrejcewicz, Jan ; Krysko, Anton V. ; Krysko, Vadim A. ; Babitsky, V. I. ; Wittenburg, J. / Thermo-dynamics of plates and shells. Springer Berlin Heidelberg, 2007. 777 p.
@book{523303f34c2a4cf9bed07fdf2d2adee1,
title = "Thermo-dynamics of plates and shells",
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.",
author = "Jan Awrejcewicz and Krysko, {Anton V.} and Krysko, {Vadim A.} and Babitsky, {V. I.} and J. Wittenburg",
year = "2007",
month = "12",
day = "1",
doi = "10.1007/978-3-540-34262-5",
language = "English",
isbn = "3540342613",
publisher = "Springer Berlin Heidelberg",

}

TY - BOOK

T1 - Thermo-dynamics of plates and shells

AU - Awrejcewicz, Jan

AU - Krysko, Anton V.

AU - Krysko, Vadim A.

AU - Babitsky, V. I.

AU - Wittenburg, J.

PY - 2007/12/1

Y1 - 2007/12/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84891399369&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84891399369&partnerID=8YFLogxK

U2 - 10.1007/978-3-540-34262-5

DO - 10.1007/978-3-540-34262-5

M3 - Book

SN - 3540342613

SN - 9783540342618

BT - Thermo-dynamics of plates and shells

PB - Springer Berlin Heidelberg

ER -