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Linear Elastic Theory Of Thin Shells


Linear Elastic Theory Of Thin Shells
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Linear Elastic Theory Of Thin Shells


Linear Elastic Theory Of Thin Shells
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Author : J. E. Gibson
language : en
Publisher: Elsevier
Release Date : 2014-05-09

Linear Elastic Theory Of Thin Shells written by J. E. Gibson and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-09 with Technology & Engineering categories.


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.



Linear Elastic Theory Of Thin Shells


Linear Elastic Theory Of Thin Shells
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Author : John Edward Gibson
language : en
Publisher:
Release Date : 1965

Linear Elastic Theory Of Thin Shells written by John Edward Gibson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1965 with categories.




Theories Of Plates And Shells


Theories Of Plates And Shells
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Author : Reinhold Kienzler
language : en
Publisher: Springer Science & Business Media
Release Date : 2004-04-22

Theories Of Plates And Shells written by Reinhold Kienzler and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-04-22 with Science categories.


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.



Introduction To Linear Elasticity


Introduction To Linear Elasticity
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Author : Phillip L. Gould
language : en
Publisher: Springer
Release Date : 1993-12-09

Introduction To Linear Elasticity written by Phillip L. Gould and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-12-09 with Technology & Engineering categories.


This applications-oriented introduction fills an important gap in the field of solid mechanics. Offering a thorough grounding in the tensor-based theory of elasticity for courses in mechanical, civil, materials or aeronautical engineering, it allows students to apply the basic notions of mechanics to such important topics as stress analysis. Further, they will also acquire the necessary background for more advanced work in elasticity, plasticity, shell theory, composite materials and finite element mechanics. This second edition features new chapters on the bending of thin plates, time-dependent effects, and strength and failure criteria.



The Nonlinear Theory Of Elastic Shells


The Nonlinear Theory Of Elastic Shells
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Author : A. Libai
language : en
Publisher: Elsevier
Release Date : 2012-12-02

The Nonlinear Theory Of Elastic Shells written by A. Libai and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-02 with Technology & Engineering categories.


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.



Lecture Notes On The Theory Of Plates And Shells


Lecture Notes On The Theory Of Plates And Shells
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Author : David J. Steigmann
language : en
Publisher: Springer Nature
Release Date : 2023-02-20

Lecture Notes On The Theory Of Plates And Shells written by David J. Steigmann and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-02-20 with Science categories.


This book presents the theory of plates and shells on the basis of the three-dimensional parent theory. The authors explore the thinness of the structure to represent the mechanics of the actual thin three-dimensional body under consideration by a more tractable two-dimensional theory associated with an interior surface. In this way, the relatively complex three-dimensional continuum mechanics of the thin body is replaced by a far more tractable two-dimensional theory. To ensure that the resulting model is predictive, it is necessary to compensate for this ‘dimension reduction’ by assigning additional kinematical and dynamical descriptors to the surface whose deformations are modelled by the simpler two-dimensional theory. The authors avoid the various ad hoc assumptions made in the historical development of the subject, most notably the classical Kirchhoff–Love hypothesis requiring that material lines initially normal to the shell surface remain so after deformation. Instead, such conditions, when appropriate, are here derived rather than postulated.



Theory Of Shells


Theory Of Shells
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Author : Philippe G. Ciarlet
language : en
Publisher: Elsevier
Release Date : 2000-05-11

Theory Of Shells written by Philippe G. Ciarlet and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-05-11 with Mathematics categories.


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.



Asymptotic Theory Of Anisotropic Plates And Shells


Asymptotic Theory Of Anisotropic Plates And Shells
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Author : Lenser A Aghalovyan
language : en
Publisher: World Scientific
Release Date : 2015-03-03

Asymptotic Theory Of Anisotropic Plates And Shells written by Lenser A Aghalovyan and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-03-03 with Technology & Engineering categories.


A consistent theory for thin anisotropic layered structures is developed starting from asymptotic analysis of 3D equations in linear elasticity. The consideration is not restricted to the traditional boundary conditions along the faces of the structure expressed in terms of stresses, originating a new type of boundary value problems, which is not governed by the classical Kirchhoff-Love assumptions. More general boundary value problems, in particular related to elastic foundations are also studied.The general asymptotic approach is illustrated by a number of particular problems for elastic and thermoelastic beams and plates. For the latter, the validity of derived approximate theories is investigated by comparison with associated exact solution. The author also develops an asymptotic approach to dynamic analysis of layered media composed of thin layers motivated by modeling of engineering structures under seismic excitation.



Stability Analysis Of Plates And Shells


Stability Analysis Of Plates And Shells
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Author :
language : en
Publisher:
Release Date : 1998

Stability Analysis Of Plates And Shells written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Plates (Engineering) categories.




Non Linear Theory Of Thin Elastic Shells


Non Linear Theory Of Thin Elastic Shells
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Author : Kh. M. Mushtari
language : en
Publisher:
Release Date : 1961

Non Linear Theory Of Thin Elastic Shells written by Kh. M. Mushtari and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1961 with Technology & Engineering categories.