Cusped Shell-Like Structures
1st Edition
Published on 31. July 2011
VIII, 52 pages
978-3-642-22101-9 (ISBN)
Description
The book is devoted to an up-dated exploratory survey of results concerning elastic cusped shells, plates, and beams and cusped prismatic shell-fluid interaction problems. It contains some up to now non-published results as well. Mathematically the corresponding problems lead to non-classical, in general, boundary value and initial-boundary value problems for governing degenerate elliptic and hyperbolic systems in static and dynamical cases, respectively. Its uses two fundamentally different approaches of investigation: 1) to get results for two-dimensional and one-dimensional problems from results of the corresponding three-dimensional problems and 2) to investigate directly governing degenerate and singular systems of 2D and 1D problems. In both the cases, it is important to study relation of 2D and 1D problems to 3D problems.
Reviews / Votes
From the reviews:
"The book has seven chapters. . the book is addressed to applied mathematicians and engineers interested in mathematical aspects of practical problems." (Teodor Atanackovic, zbMATH, Vol. 1278, 2014)More details
Series
Language
English
Place of publication
Berlin
Germany
Publishing group
Springer Berlin
Target group
Professional and scholarly
Product notice
Reflowable
Illustrations
VIII, 52 p. 47 illus., 2 illus. in color.
File size
2,79 MB
ISBN-13
978-3-642-22101-9 (9783642221019)
DOI
10.1007/978-3-642-22101-9
Schweitzer Classification
Other editions
Additional editions
Content
Introduction.- Geometry of Structures under consideration.- Hierarchical Models.- Cusped Shells and Plates.- Cusped Beams.- Relations of 3D, 2D, and 1D Problems.- Cusped Prismatic Shell-Fluid Interaction Problems.
