Singular Problems In Shell Theory
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Author | : Evariste Sanchez-Palencia |
Publisher | : Springer Science & Business Media |
Total Pages | : 272 |
Release | : 2010-09-07 |
Genre | : Science |
ISBN | : 3642138152 |
This book deals with various aspects in relation with thin shell theory: general geometric formalism of shell theory, analysis of singularities, numerical computing of thin shell problems, mathematical considerations on boundary values problems.
Author | : Frithiof I. Niordson |
Publisher | : |
Total Pages | : 122 |
Release | : 1991 |
Genre | : |
ISBN | : |
Author | : Philippe G. Ciarlet |
Publisher | : Elsevier |
Total Pages | : 662 |
Release | : 2000-05-11 |
Genre | : Mathematics |
ISBN | : 0080511236 |
The objective of Volume III is to lay down the proper mathematical foundations of the two-dimensional theory of shells. To this end, it provides, without any recourse to any a priori assumptions of a geometrical or mechanical nature, a mathematical justification of two-dimensional nonlinear and linear shell theories, by means of asymptotic methods, with the thickness as the "small" parameter.
Author | : Holm Altenbach |
Publisher | : Springer Nature |
Total Pages | : 798 |
Release | : 2019-09-25 |
Genre | : Technology & Engineering |
ISBN | : 3030177475 |
This book commemorates the 80th birthday of Prof. W. Pietraszkiewicz, a prominent specialist in the field of general shell theory. Reflecting Prof. Pietraszkiewicz’s focus, the respective papers address a range of current problems in the theory of shells. In addition, they present other structural mechanics problems involving dimension-reduced models. Lastly, several applications are discussed, including material models for such dimension-reduced structures.
Author | : F.I. Niordson |
Publisher | : Elsevier |
Total Pages | : 423 |
Release | : 2012-12-02 |
Genre | : Technology & Engineering |
ISBN | : 0444599096 |
This account of the theory of plates and shells is written primarily as a textbook for graduate students in mechanical and civil engineering.The unified treatment of shells of arbitrary shape is accomplished by tensor analysis. This useful tool is introduced in the first chapter, and no knowledge of advanced mathematical methods is required. The general theory developed in the first eight chapters is applied in the remaining part to thin elastic plates and shells with special emphasis on engineering methods and engineering applications. A number of detailed examples illustrate the theory.
Author | : Clive L Dym |
Publisher | : Elsevier |
Total Pages | : 174 |
Release | : 2016-06-06 |
Genre | : Technology & Engineering |
ISBN | : 1483136671 |
Introduction to the Theory of Shells centers on the foundations of shell theory, and to some of the important problems that can be tackled within the framework of shell theory. Organized into seven chapters, this book begins with an explanation of the elements of the theory of surfaces and the construction of a shell theory. Subsequent chapter describes a class of shells known as membrane shells, or membranes. Other chapters detail the bending of circular cylinders; shells of revolution; and axisymmetric vibrations of circular cylinders. This book will be useful as a text that represents a one-semester beginning for students with a reasonable (first course) background in elasticity theory.
Author | : John William Young (Jr.) |
Publisher | : |
Total Pages | : 330 |
Release | : 1962 |
Genre | : Elastic plates and shells |
ISBN | : |
Author | : Reinhold Kienzler |
Publisher | : Springer Science & Business Media |
Total Pages | : 258 |
Release | : 2013-06-01 |
Genre | : Science |
ISBN | : 3540399054 |
Plate and shell theories experienced a renaissance in recent years. The potentials of smart materials, the challenges of adaptive structures, the demands of thin-film technologies and more on the one hand and the availability of newly developed mathematical tools, the tremendous increase in computer facilities and the improvement of commercial software packages on the other caused a reanimation of the scientific interest. In the present book the contributions of the participants of the EUROMECH Colloquium 444 "Critical Review of the Theories of Plates and Shells and New Applications" have been collected. The aim was to discuss the common roots of different plate and shell approaches, to review the current state of the art, and to develop future lines of research. Contributions were written by scientists with civil and mechanical engineering as well as mathematical and physical background.
Author | : G. I. Pshenichnov |
Publisher | : World Scientific |
Total Pages | : 332 |
Release | : 1993 |
Genre | : Technology & Engineering |
ISBN | : 9789810210496 |
The book presents the theory of latticed shells as continual systems and describes its applications. It analyses the problems of statics, stability and dynamics. Generally, a classical rod deformation theory is applied. However, in some instances, more precise theories which particularly consider geometrical and physical nonlinearity are employed. A new effective method for solving general boundary value problems and its application for numerical and analytical solutions of mathematical physics and reticulated shell theory problems is described. A new method of solving the shell theory's nonlinear problems, substantially simplifying the existing algorithms is given. Questions of optimum design are discussed. Some of the findings are generalized and extended to edged and composite systems. The results of the solutions of a wide range of pressing problems are presented.
Author | : Holm Altenbach |
Publisher | : Springer |
Total Pages | : 293 |
Release | : 2016-08-09 |
Genre | : Science |
ISBN | : 3319422774 |
The book presents mathematical and mechanical aspects of the theory of plates and shells, applications in civil, aero-space and mechanical engineering, as well in other areas. The focus relates to the following problems:• comprehensive review of the most popular theories of plates and shells,• relations between three-dimensional theories and two-dimensional ones,• presentation of recently developed new refined plates and shells theories (for example, the micropolar theory or gradient-type theories),• modeling of coupled effects in shells and plates related to electromagnetic and temperature fields, phase transitions, diffusion, etc.,• applications in modeling of non-classical objects like, for example, nanostructures,• presentation of actual numerical tools based on the finite element approach.