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 language | English |
|---|---|
| Publisher | Springer Berlin Heidelberg |
| Number of pages | 777 |
| ISBN (Print) | 3540342613, 9783540342618 |
| DOIs | |
| Publication status | Published - 1 Dec 2007 |
| Externally published | Yes |
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ASJC Scopus subject areas
- Engineering(all)
Cite this
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/Report › Book
}
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
AN - SCOPUS:84891399369
SN - 3540342613
SN - 9783540342618
BT - Thermo-dynamics of plates and shells
PB - Springer Berlin Heidelberg
ER -