Download or read book Theory of Elastic Thin Shells written by A. L. Gol'Denveizer and published by Elsevier. This book was released on 2014-05-15 with total page 681 pages. Available in PDF, EPUB and Kindle. Book excerpt: Theory of Elastic Thin Shells discusses the mathematical foundations of shell theory and the approximate methods of solution. The present volume was originally published in Russian in 1953, and remains the only text which formulates as completely as possible the different sets of basic equations and various approximate methods of shell analysis emphasizing asymptotic integration. The book is organized into five parts. Part I presents the general formulation and equations of the theory of shells, which are based on the well-known hypothesis of the preservation of the normal element. Part II is devoted to the membrane theory--the most widely used approximate method of analysis of shells that was formulated at approximately the same time as the more general bending theory. In Part III methods of analysis of circular cylindrical shells with the aid of trigonometric series are considered. Part IV is essentially mathematical in character and its purpose is to justify the approximate methods of shell analysis. In Part V approximate methods of analysis of shells are formulated.
Download or read book Linear Elastic Theory of Thin Shells written by John Edward Gibson and published by . This book was released on 1965 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Theory of Elastic Thin Shells written by A. L. Gol'denveizer and published by . This book was released on 1961 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Linear Elastic Theory of Thin Shells written by J. E. Gibson and published by Elsevier. This book was released on 2014-05-09 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: Linear Elastic Theory of Thin Shells presents membrane and bending theories for open and closed cylindrical shells and shells of arbitrary shape. This book aims to develop the analysis through membrane theory to bending theory for shells and to limit the type of mathematics used. Organized into eight chapters, this book begins with an overview of the solid material enclosed between two closely spaced doubly curved surfaces. This text then examines the five stress resultants for closed cylindrical shell. Other chapters consider the theoretical stresses that are closely related to the actual stresses determined experimentally in practice. This book discusses as well the numerical analysis of more complicated shell structures. The final chapter deals with the correlation between experimental and theoretical stresses in shells. This book is intended to be suitable for final year engineering and post-graduate students. Design and consulting engineers will also find this book extremely useful.
Download or read book Theory of Elastic Thin Shells written by A. L. Golʹdenveĭzer and published by . This book was released on 1961 with total page 658 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Theories of Plates and Shells written by Reinhold Kienzler and published by Springer Science & Business Media. This book was released on 2013-06-01 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Asymptotic Methods in the Buckling Theory of Elastic Shells written by P. E. Tovstik and published by World Scientific. This book was released on 2001 with total page 359 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains solutions to the most typical problems of thin elastic shells buckling under conservative loads. The linear problems of bifurcation of shell equilibrium are considered using a two-dimensional theory of the Kirchhoff-Love type. The explicit approximate formulas obtained by means of the asymptotic method permit one to estimate the critical loads and find the buckling modes.The solutions to some of the buckling problems are obtained for the first time in the form of explicit formulas. Special attention is devoted to the study of the shells of negative Gaussian curvature, the buckling of which has some specific features. The buckling modes localized near the weakest lines or points on the neutral surface are constructed, including the buckling modes localized near the weakly supported shell edge. The relations between the buckling modes and bending of the neutral surface are analyzed. Some of the applied asymptotic methods are standard; the others are new and are used for the first time in this book to study thin shell buckling. The solutions obtained in the form of simple approximate formulas complement the numerical results, and permit one to clarify the physics of buckling.
Download or read book The Nonlinear Theory of Elastic Shells written by A. Libai and published by Elsevier. This book was released on 2012-12-02 with total page 429 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Nonlinear Theory of Elastic Shells: One Spatial Dimension presents the foundation for the nonlinear theory of thermoelastic shells undergoing large strains and large rotations. This book discusses several relatively simple equations for practical application. Organized into six chapters, this book starts with an overview of the description of nonlinear elastic shell. This text then discusses the foundation of three-dimensional continuum mechanics that are relevant to the shell theory approach. Other chapters cover several topics, including birods, beamshells, and axishells that begins with a derivation of the equations of motion by a descent from the equations of balance of linear and rotational momentum of a three-dimensional material continuum. This book discusses as well the approach to deriving complete field equations for one- or two-dimensional continua from the integral equations of motion and thermodynamics of a three-dimensional continuum. The final chapter deals with the analysis of unishells. This book is a valuable resource for physicists, mathematicians, and scientists.
Download or read book Linear Elastic Theory of Thin Shells written by John Edward Gibson and published by . This book was released on 1965 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Thin Shell Theory written by Valentin Valentinovich Novozhilov and published by . This book was released on 1970 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Flexible Shells written by E. L. Axelrad and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: Euromech-Colloquium Nr. 165 The shell-theory development has changed its emphasis during the last two decades. Nonlinear problems have become its main motive. But the analysis was until recently predominantly devoted to shells designed for strength and stiffness. Nonlinearity is here relevant to buckling, to intensively vary able stress states. These are (with exception of some limit cases) covered by the quasi-shallow shell theory. The emphasis of the nonlinear analysis begins to shift further - to shells which are designed for and actually capable of large elastic displacements. These shells, used in industry for over a century, have been recently termedj1exible shells. The European Mechanics Colloquium 165. was concerned with the theory of elastic shells in connection with its applications to these shells. The Colloquium was intended to discuss: 1. The formulations of the nonlinear shell theory, different in the generality of kine matic hypothesis, and in the choice of dependent variables. 2. The specialization of the shell theory for the class of shells and the respective elastic stress states assuring flexibility. 3. Possibilities to deal with the complications of the buckling analysis of flexible shells, caused by the precritial perturbations of their shape and stress state. 4. Methods of solution appropriate for the nonlinear flexible-shell problems. 5. Applications of the theory. There were 71 participants the sessions were presided over (in that order) by E. Reissner, J. G. Simmonds, W. T. Koiter, R. C. Tennyson, F. A. Emmerling, E. Rarnm, E. L. Axelrad.
Download or read book Thin Shell Theory written by W. Olszak and published by Springer. This book was released on 1981-02-12 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Small Elastic Deformations of Thin Shells written by P. Seide and published by Springer. This book was released on 1975-05-31 with total page 680 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the last decade or so the theory of shells has undergone a tremendous increase in development. Formerly a subject of interest only to a few special ists and for which the literature was relatively smalI, the needs of structures for aerospace missions instigated a torrent of papers on all facets of the theory which also found application in the less glamorous earthbound shell struc tures important in everyday life. Some idea of the rapidity of the development can be gained from the fact that a bibliography* completed in 1953 listed some 1455 books and papers as the sum total ofthe literature on shell theory to that date. Three years later, however, a supplementt added another 884 papers to the list, an increase of 60 per cent in that short period of time. The number of papers published since these listings has increased to an extent that does not bear contemplation. Obviously no single volume could contain all that constitutes the theory of shells and so this book is restricted to that portion of the theory associated with small deformations of elastic shells. Plastic deformations of shells, which is hardly developed, and nonlinear deformations and stability, which would require at least aseparate volume, are thus excluded. Even with this restriction, however, the present volume represents a long overdue compro mise between completeness and finiteness. In making this compromise I have undoubtedly omitted discussions of many topics and references to many excellent papers which should have been included.
Download or read book Thin Elastic Shells written by Harry Kraus and published by . This book was released on 1967 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Introduction to the Theory of Shells written by Clive L Dym and published by Elsevier. This book was released on 2016-06-06 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Small elastic deformations of thin shells written by P. Seide and published by Springer. This book was released on 2014-01-14 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the last decade or so the theory of shells has undergone a tremendous increase in development. Formerly a subject of interest only to a few special ists and for which the literature was relatively smalI, the needs of structures for aerospace missions instigated a torrent of papers on all facets of the theory which also found application in the less glamorous earthbound shell struc tures important in everyday life. Some idea of the rapidity of the development can be gained from the fact that a bibliography* completed in 1953 listed some 1455 books and papers as the sum total ofthe literature on shell theory to that date. Three years later, however, a supplementt added another 884 papers to the list, an increase of 60 per cent in that short period of time. The number of papers published since these listings has increased to an extent that does not bear contemplation. Obviously no single volume could contain all that constitutes the theory of shells and so this book is restricted to that portion of the theory associated with small deformations of elastic shells. Plastic deformations of shells, which is hardly developed, and nonlinear deformations and stability, which would require at least aseparate volume, are thus excluded. Even with this restriction, however, the present volume represents a long overdue compro mise between completeness and finiteness. In making this compromise I have undoubtedly omitted discussions of many topics and references to many excellent papers which should have been included.
Download or read book Thin Plates and Shells written by Eduard Ventsel and published by CRC Press. This book was released on 2001-08-24 with total page 688 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presenting recent principles of thin plate and shell theories, this book emphasizes novel analytical and numerical methods for solving linear and nonlinear plate and shell dilemmas, new theories for the design and analysis of thin plate-shell structures, and real-world numerical solutions, mechanics, and plate and shell models for engineering appli
