Linear Elastic Theory of Thin Shells

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Publisher :
ISBN 13 :
Total Pages : 202 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Linear Elastic Theory of Thin Shells by : John Edward Gibson

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:

Theory of Elastic Thin Shells

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Author :
Publisher : Elsevier
ISBN 13 : 1483164624
Total Pages : 681 pages
Book Rating : 4.4/5 (831 download)

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Book Synopsis Theory of Elastic Thin Shells by : A. L. Gol'Denveizer

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.

Thin Plates and Shells

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Publisher : CRC Press
ISBN 13 : 9780203908723
Total Pages : 688 pages
Book Rating : 4.9/5 (87 download)

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Book Synopsis Thin Plates and Shells by : Eduard Ventsel

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

Thin Shell Theory

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Publisher :
ISBN 13 :
Total Pages : 444 pages
Book Rating : 4.:/5 (44 download)

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Book Synopsis Thin Shell Theory by : Valentin Valentinovich Novozhilov

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:

Thin Shell Theory

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Publisher : Springer
ISBN 13 : 9783211816028
Total Pages : 301 pages
Book Rating : 4.8/5 (16 download)

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Book Synopsis Thin Shell Theory by : W. Olszak

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:

Theories of Plates and Shells

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Publisher : Springer Science & Business Media
ISBN 13 : 3540399054
Total Pages : 258 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Theories of Plates and Shells by : Reinhold Kienzler

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.

The Finite Element Method in Thin Shell Theory: Application to Arch Dam Simulations

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Publisher : Springer Science & Business Media
ISBN 13 : 1468491431
Total Pages : 206 pages
Book Rating : 4.4/5 (684 download)

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Book Synopsis The Finite Element Method in Thin Shell Theory: Application to Arch Dam Simulations by : Bernardou

Download or read book The Finite Element Method in Thin Shell Theory: Application to Arch Dam Simulations written by Bernardou and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt: ~his Monograph has two objectives : to analyze a f inite e l e m en t m e th o d useful for solving a large class of t hi n shell prob l e ms, and to show in practice how to use this method to simulate an arch dam prob lem. The first objective is developed in Part I. We record the defi- tion of a general thin shell model corresponding to the W.T. KOlTER linear equations and we show the existence and the uniqueness for a solution. By using a co nform ing fi nite e l e m ent me t hod , we associate a family of discrete problems to the continuous problem ; prove the convergence of the method ; and obtain error estimates between exact and approximate solutions. We then describe the impl em enta t ion of some specific conforming methods. The second objective is developed in Part 2. It consists of applying these finite element methods in the case of a representative practical situation that is an arc h dam pro b le m. This kind of problem is still of great interest, since hydroelectric plants permit the rapid increase of electricity production during the day hours of heavy consumption. This regulation requires construction of new hydroelectric plants on suitable sites, as well as permanent control of existing dams that may be enlightened by numerical stress analysis .

Linear Elastic Theory of Thin Shells

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Publisher : Elsevier
ISBN 13 : 1483180735
Total Pages : 193 pages
Book Rating : 4.4/5 (831 download)

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Book Synopsis Linear Elastic Theory of Thin Shells by : J. E. Gibson

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.

Flexible Shells

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Publisher : Springer Science & Business Media
ISBN 13 : 3642480136
Total Pages : 290 pages
Book Rating : 4.6/5 (424 download)

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Book Synopsis Flexible Shells by : E. L. Axelrad

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.

Mechanics of Solids and Shells

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Publisher : CRC Press
ISBN 13 : 1420036424
Total Pages : 534 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Mechanics of Solids and Shells by : Gerald Wempner

Download or read book Mechanics of Solids and Shells written by Gerald Wempner and published by CRC Press. This book was released on 2002-10-29 with total page 534 pages. Available in PDF, EPUB and Kindle. Book excerpt: As the theories and methods have evolved over the years, the mechanics of solid bodies has become unduly fragmented. Most books focus on specific aspects, such as the theories of elasticity or plasticity, the theories of shells, or the mechanics of materials. While a narrow focus serves immediate purposes, much is achieved by establishing the common foundations and providing a unified perspective of the discipline as a whole. Mechanics of Solids and Shells accomplishes these objectives. By emphasizing the underlying assumptions and the approximations that lead to the mathematical formulations, it offers a practical, unified presentation of the foundations of the mechanics of solids, the behavior of deformable bodies and thin shells, and the properties of finite elements. The initial chapters present the fundamental kinematics, dynamics, energetics, and behavior of materials that build the foundation for all of the subsequent developments. These are presented in full generality without the usual restrictions on the deformation. The general principles of work and energy form the basis for the consistent theories of shells and the approximations by finite elements. The final chapter views the latter as a means of approximation and builds a bridge between the mechanics of the continuum and the discrete assembly. Expressly written for engineers, Mechanics of Solids and Shells forms a reliable source for the tools of analysis and approximation. Its constructive presentation clearly reveals the origins, assumptions, and limitations of the methods described and provides a firm, practical basis for the use of those methods.

Tensor Analysis and Continuum Mechanics

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Publisher : Springer Science & Business Media
ISBN 13 : 3642883826
Total Pages : 215 pages
Book Rating : 4.6/5 (428 download)

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Book Synopsis Tensor Analysis and Continuum Mechanics by : Wilhelm Flügge

Download or read book Tensor Analysis and Continuum Mechanics written by Wilhelm Flügge and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 215 pages. Available in PDF, EPUB and Kindle. Book excerpt: Through several centuries there has been a lively interaction between mathematics and mechanics. On the one side, mechanics has used mathemat ics to formulate the basic laws and to apply them to a host of problems that call for the quantitative prediction of the consequences of some action. On the other side, the needs of mechanics have stimulated the development of mathematical concepts. Differential calculus grew out of the needs of Newtonian dynamics; vector algebra was developed as a means . to describe force systems; vector analysis, to study velocity fields and force fields; and the calcul~s of variations has evolved from the energy principles of mechan ics. In recent times the theory of tensors has attracted the attention of the mechanics people. Its very name indicates its origin in the theory of elasticity. For a long time little use has been made of it in this area, but in the last decade its usefulness in the mechanics of continuous media has been widely recognized. While the undergraduate textbook literature in this country was becoming "vectorized" (lagging almost half a century behind the development in Europe), books dealing with various aspects of continuum mechanics took to tensors like fish to water. Since many authors were not sure whether their readers were sufficiently familiar with tensors~ they either added' a chapter on tensors or wrote a separate book on the subject.

Thin Shell Theory

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Publisher :
ISBN 13 :
Total Pages : 417 pages
Book Rating : 4.:/5 (65 download)

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Book Synopsis Thin Shell Theory by : V. V. Novožilov

Download or read book Thin Shell Theory written by V. V. Novožilov and published by . This book was released on 1964 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Theory of Shell Structures

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Publisher : Cambridge University Press
ISBN 13 : 9780521369459
Total Pages : 794 pages
Book Rating : 4.3/5 (694 download)

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Book Synopsis Theory of Shell Structures by : C. R. Calladine

Download or read book Theory of Shell Structures written by C. R. Calladine and published by Cambridge University Press. This book was released on 1983 with total page 794 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book attempts to bring the essence of shell structures within the grasp of engineers. It tackles the fundamental question of how bending and stretching effects combine and interact in shell structures from a physical point of view; and shows that this approach leads to an understanding of the structural mechanics of shells in general.

Thin Shell Theory

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Publisher :
ISBN 13 : 9783709124437
Total Pages : 320 pages
Book Rating : 4.1/5 (244 download)

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Book Synopsis Thin Shell Theory by : W. Olszak

Download or read book Thin Shell Theory written by W. Olszak and published by . This book was released on 2014-09-01 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Shell-like Structures

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Publisher : Springer
ISBN 13 : 3319422774
Total Pages : 288 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Shell-like Structures by : Holm Altenbach

Download or read book Shell-like Structures written by Holm Altenbach and published by Springer. This book was released on 2016-08-09 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Asymptotic Methods in the Buckling Theory of Elastic Shells

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Publisher : World Scientific
ISBN 13 : 9810247265
Total Pages : 359 pages
Book Rating : 4.8/5 (12 download)

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Book Synopsis Asymptotic Methods in the Buckling Theory of Elastic Shells by : P. E. Tovstik

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.

Thin Shell Theory

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Publisher : Springer
ISBN 13 : 3709124425
Total Pages : 302 pages
Book Rating : 4.7/5 (91 download)

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Book Synopsis Thin Shell Theory by : W. Olszak

Download or read book Thin Shell Theory written by W. Olszak and published by Springer. This book was released on 2014-05-04 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: