Shell Theory

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Mathematical Elasticity

Author : Philippe G. Ciarlet
Publisher : SIAM
ISBN 13 : 1611976820
Total Pages : 686 pages
Book Rating : 4.6/5 (119 download)

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Book Synopsis Mathematical Elasticity by : Philippe G. Ciarlet

Download or read book Mathematical Elasticity written by Philippe G. Ciarlet and published by SIAM. This book was released on 2022-01-22 with total page 686 pages. Available in PDF, EPUB and Kindle. Book excerpt: The objective of Theory of Shells, the third book of a three-volume set, is to show how asymptotic methods provide a rigorous mathematical justification of the classical two-dimensional linear shell theories: membrane, generalized membrane, and flexural. The book also shows how asymptotic methods justify nonlinear elastic shell theories and gives a detailed presentation of the Koiter equations for a nonlinearly elastic shell. An extended preface and extensive bibliography have been added to highlight the progress that has been made since the volume’s original publication. While each one of the three volumes is self-contained, together the Mathematical Elasticity set provides the only modern treatise on elasticity; introduces contemporary research on three-dimensional elasticity, the theory of plates, and the theory of shells; and contains proofs, detailed surveys of all mathematical prerequisites, and many problems for teaching and self-study These classic textbooks are for advanced undergraduates, first-year graduate students, and researchers in pure or applied mathematics or continuum mechanics. They are appropriate for courses in mathematical elasticity, theory of plates and shells, continuum mechanics, computational mechanics, and applied mathematics in general.

Theory of Elastic Thin Shells

Author : A. L. Gol'Denveizer
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

Author : Eduard Ventsel
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

Theory of Shell Structures

Author : C. R. Calladine
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.

Shell Theory

Author : F.I. Niordson
Publisher : Elsevier
ISBN 13 : 0444599096
Total Pages : 423 pages
Book Rating : 4.4/5 (445 download)

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Book Synopsis Shell Theory by : F.I. Niordson

Download or read book Shell Theory written by F.I. Niordson and published by Elsevier. This book was released on 2012-12-02 with total page 423 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Thin Shell Theory

Author : W. Olszak
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:

Nuclear Shell Theory

Author : Amos de-Shalit
Publisher : Academic Press
ISBN 13 : 1483275795
Total Pages : 584 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Nuclear Shell Theory by : Amos de-Shalit

Download or read book Nuclear Shell Theory written by Amos de-Shalit and published by Academic Press. This book was released on 2013-10-22 with total page 584 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nuclear Shell Theory is a comprehensive textbook dealing with modern methods of the nuclear shell model. This book deals with the mathematical theory of a system of Fermions in a central field. It is divided into three parts. Part I discusses the single particle shell model. The second part focuses on the tensor algebra, two-particle systems. The last part covers three or more particle systems. Chapters on wave functions in a central field, tensor fields, and the m-Scheme are also presented. Physicists, graduate students, and teachers of nuclear physics will find the book invaluable.

Recent Developments in Anisotropic Heterogeneous Shell Theory

Author : Alexander Ya. Grigorenko
Publisher : Springer
ISBN 13 : 9811006458
Total Pages : 42 pages
Book Rating : 4.8/5 (11 download)

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Book Synopsis Recent Developments in Anisotropic Heterogeneous Shell Theory by : Alexander Ya. Grigorenko

Download or read book Recent Developments in Anisotropic Heterogeneous Shell Theory written by Alexander Ya. Grigorenko and published by Springer. This book was released on 2016-06-02 with total page 42 pages. Available in PDF, EPUB and Kindle. Book excerpt: This brief book presents solutions of stress-strain problems for a wide class of anisotropic inhomogeneous shells obtained by the refined model. Studying these problems results in severe computational difficulties due to partial differential equations with variable coefficients resulting from the constitutive relations of the original model. To solve this problem the book uses spline-collocation and discrete-orthogonalization methods. It analyses the influence of geometrical and mechanical parameters, of various kinds of boundary conditions, and of the loading conditions on the distributions of stress and displacement fields in shallow, spherical, conical, and noncircular cylindrical shells. The dependence of the stress-strain pattern on shell thickness variations is studied. The authors solve the problem also for the case of the thickness varying in two directions. They study how a variation in shell thickness influences the stress-strain state and consider noncircular cylindrical shells with elliptical and corrugated sections are considered. The results obtained during numerous calculations support the efficiency of the discrete-orthogonalization approach proposed in the monograph for solving static problems for anisotropic inhomogeneous shells when using the refined model.

Singular Problems in Shell Theory

Author : Evariste Sanchez-Palencia
Publisher : Springer Science & Business Media
ISBN 13 : 3642138152
Total Pages : 272 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Singular Problems in Shell Theory by : Evariste Sanchez-Palencia

Download or read book Singular Problems in Shell Theory written by Evariste Sanchez-Palencia and published by Springer Science & Business Media. This book was released on 2010-09-07 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Variational, Incremental and Energy Methods in Solid Mechanics and Shell Theory

Author : J. Mason
Publisher : Elsevier
ISBN 13 : 1483289648
Total Pages : 383 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Variational, Incremental and Energy Methods in Solid Mechanics and Shell Theory by : J. Mason

Download or read book Variational, Incremental and Energy Methods in Solid Mechanics and Shell Theory written by J. Mason and published by Elsevier. This book was released on 2013-10-22 with total page 383 pages. Available in PDF, EPUB and Kindle. Book excerpt: Studies in Applied Mechanics, 4: Variational, Incremental, and Energy Methods in Solid Mechanics and Shell Theory covers the subject of variational, incremental, and energy methods in Solid Mechanics and Shell Theory from a general standpoint, employing general coordinates and tensor notations. The publication first ponders on mathematical preliminaries, kinematics and stress in three-dimensional solid continua, and the first and second laws of thermodynamics. Discussions focus on the principles of virtual displacements and virtual forces, kinematics of rigid body motions, incremental stresses, kinematics of incremental deformation, description of motion, coordinates, reference and deformed states, tensor formulas for surfaces, and differentials and derivatives of operators. The text then elaborates on constitutive material laws, deformation and stress in shells, first law of thermodynamics applied to shells, and constitutive relations and material laws for shells. Concerns cover hyperelastic incremental material relations, material laws for thin elastic shells, incremental theory and stability, reduced and local forms of the first law of thermodynamics, and description of deformation and motion in shells. The book examines elastic stability, finite element models, variational and incremental principles, variational principles of elasticity and shell theory, and constitutive relations and material laws for shells. The publication is a valuable reference for researchers interested in the variational, incremental, and energy methods in solid mechanics and shell theory.

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

Author : Bernardou
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 .

Thin Shell Theory

Author : W. Olszak
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:

Introduction to the Theory of Shells

Author : Clive L Dym
Publisher : Elsevier
ISBN 13 : 1483187195
Total Pages : 172 pages
Book Rating : 4.4/5 (831 download)

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Book Synopsis Introduction to the Theory of Shells by : Clive L Dym

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 provide a brief introduction to the foundations of shell theory, and to some of the important problems that can be tackled within the framework of shell theory. The book discusses topics on the Lamé problem and derivation of beam theory; the basic postulates, or assumptions of shell theory; membrane shells and the bending of circular cylinders; and axisymmetric vibrations of circular cylinders. Mathematicians and students of mathematics will find the book invaluable.

Shell Structures, Theory and Applications

Author : Wojciech Pietraszkiewicz
Publisher : CRC Press
ISBN 13 : 9780415383905
Total Pages : 656 pages
Book Rating : 4.3/5 (839 download)

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Book Synopsis Shell Structures, Theory and Applications by : Wojciech Pietraszkiewicz

Download or read book Shell Structures, Theory and Applications written by Wojciech Pietraszkiewicz and published by CRC Press. This book was released on 2005-09-22 with total page 656 pages. Available in PDF, EPUB and Kindle. Book excerpt: Shells are basic structural elements of modern technology. Examples of shell structures include automobile bodies, domes, water and oil tanks, pipelines, ship hulls, aircraft fuselages, turbine blades, laudspeaker cones, but also balloons, parachutes, biological membranes, a human skin, a bottle of wine or a beer can. This volume contains full texts of over 100 papers presented by specialists from over 20 countries at the 8th Conference "Shell Structures: Theory and Applications", 12-14 October, 2005 in Jurata (Poland). The aim of the meeting was to bring together scientists, designers, engineers and other specialists in shell structures in order to discuss important results and new ideas in this field. The goal is to pursue more accurate theoretical models, to develop more powerful and versatile methods of analysis, and to disseminate expertise in design and maintenance of shell structures. Among the authors there are many distinguished specialists of shell structures, including the authors of general lectures: I.V. Andrianov (Ukraine), V.A. Eremeyev (Russia), A. Ibrahimbegovic (France), P. Klosowski (Poland), B.H. Kröplin (Germany), E. Ramm (Germany), J.M. Rotter (UK) and D. Steigmann (USA). The subject area of the papers covers various theoretical models and numerical analyses of strength, dynamics, stability, optimization etc. of different types of shell structures, their design and maintenance, as well as modelling of some surface-related mechanical phenomena.

Shell-like Structures

Author : Holm Altenbach
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.

Shell Structures: Theory and Applications Volume 4

Author : Wojciech Pietraszkiewicz
Publisher : CRC Press
ISBN 13 : 135168048X
Total Pages : 574 pages
Book Rating : 4.3/5 (516 download)

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Book Synopsis Shell Structures: Theory and Applications Volume 4 by : Wojciech Pietraszkiewicz

Download or read book Shell Structures: Theory and Applications Volume 4 written by Wojciech Pietraszkiewicz and published by CRC Press. This book was released on 2017-10-30 with total page 574 pages. Available in PDF, EPUB and Kindle. Book excerpt: Shells are basic structural elements of modern technology and everyday life. Examples of shell structures in technology include automobile bodies, water and oil tanks, pipelines, silos, wind turbine towers, and nanotubes. Nature is full of living shells such as leaves of trees, blooming flowers, seashells, cell membranes or wings of insects. In the human body arteries, the eye shell, the diaphragm, the skin and the pericardium are all shells as well. Shell Structures: Theory and Applications, Volume 4 contains 132 contributions presented at the 11th Conference on Shell Structures: Theory and Applications (Gdansk, Poland, 11-13 October 2017). The papers reflect a wide spectrum of scientific and engineering problems from theoretical modelling through strength, stability and dynamic behaviour, numerical analyses, biomechanic applications up to engineering design of shell structures. Shell Structures: Theory and Applications, Volume 4 will be of interest to academics, researchers, designers and engineers dealing with modelling and analyses of shell structures. It may also provide supplementary reading to graduate students in Civil, Mechanical, Naval and Aerospace Engineering.

Shell Structures in Civil and Mechanical Engineering

Author : Alphose Zingoni
Publisher : Thomas Telford
ISBN 13 : 9780727725745
Total Pages : 370 pages
Book Rating : 4.7/5 (257 download)

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Book Synopsis Shell Structures in Civil and Mechanical Engineering by : Alphose Zingoni

Download or read book Shell Structures in Civil and Mechanical Engineering written by Alphose Zingoni and published by Thomas Telford. This book was released on 1997 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: This authoritative text concentrates on the derivation of simple but reasonably accurate mathematical solutions, and the actual presentation of closed-form results for quantities that are of interest to the designer of shell structures.