Singular Problems in Shell Theory

Singular Problems in Shell Theory
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.

Shell Theory

Shell Theory
Author: Frithiof I. Niordson
Publisher:
Total Pages: 122
Release: 1991
Genre:
ISBN:

Theory of Shells

Theory of Shells
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.

Recent Developments in the Theory of Shells

Recent Developments in the Theory of Shells
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.

Shell Theory

Shell Theory
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.

Introduction to the Theory of Shells

Introduction to the Theory of Shells
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.

Theories of Plates and Shells

Theories of Plates and Shells
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.

A Theory of Latticed Plates and Shells

A Theory of Latticed Plates and Shells
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.

Shell-like Structures

Shell-like Structures
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.