Poisson Theory Of Elastic Plates
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Poisson Theory Of Elastic Plates
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Author : Kaza Vijayakumar
language : en
Publisher:
Release Date : 2021
Poisson Theory Of Elastic Plates written by Kaza Vijayakumar and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021 with categories.
This groundbreaking book resolves the main lacuna in Kirchhoff theory of bending of plates in the Poisson-Kirchhoff boundary conditions paradox through the introduction of auxiliary problem governing transverse stresses. The book highlights new primary bending problem which is formulated and analyzed by the application of developed Poisson theory. Analysis with prescribed transverse stresses along faces of the plate, neglected in most reported theories, is presented with an additional term in displacements. The book presents a systematic procedure for the analysis of unsymmetrical laminates. This volume will be a useful reference for students, practicing engineers as well as researchers in applied mechanics. .
Poisson Theory Of Elastic Plates
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Author : Kaza Vijayakumar
language : en
Publisher: Springer Nature
Release Date : 2021-01-25
Poisson Theory Of Elastic Plates written by Kaza Vijayakumar and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-01-25 with Technology & Engineering categories.
This groundbreaking book resolves the main lacuna in Kirchhoff theory of bending of plates in the Poisson-Kirchhoff boundary conditions paradox through the introduction of auxiliary problem governing transverse stresses. The book highlights new primary bending problem which is formulated and analyzed by the application of developed Poisson theory. Analysis with prescribed transverse stresses along faces of the plate, neglected in most reported theories, is presented with an additional term in displacements. The book presents a systematic procedure for the analysis of unsymmetrical laminates. This volume will be a useful reference for students, practicing engineers as well as researchers in applied mechanics.
Theories Of Elastic Plates
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Author : V. Panc
language : en
Publisher: Springer Science & Business Media
Release Date : 1975-04-30
Theories Of Elastic Plates written by V. Panc 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 1975-04-30 with Science categories.
The present monograph deals with refined theories of elastic plates in which both bending and transverse shear effects are taken into account and with some of their applications. Generally these more exact theories result in inte gration problems of the sixth order; consequently, three mutually independent boundary conditions at each edge of the plate are required. This is in perfect agreement with the conclusions of the theory of elasticity. The expressions for shearing forces following from refined theories are then valid for the whole investigated region including its boundary where the corresponding boundary conditions for these shearing forces can be prescribed. Quite different seems to be the situation in the classical Kirchhoff-Love's theory in which the influence of transverse shearing strains is neglected. Owing to this simplification the governing differential equation developed by the classical theory is of the fourth order only; consequently, the number of boundary conditions appurtenant to the applied mode of support appears now to be in disagreement with the order of the valid governing equation. Then, limiting the validity of the expressions for shearing forces to the open region of the middle plane and introducing the notion of the so called fictitious Kirchhoff's shearing forces for the boundary of the plate, three actual boundary conditions at each edge of the plate have to be replaced by two approximate conditions transformed in the Kirchhoff's sense.
Vibrations Of Elastic Plates
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Author : Yi-Yuan Yu
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Vibrations Of Elastic Plates written by Yi-Yuan Yu 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 2012-12-06 with Technology & Engineering categories.
This book is based on my experiences as a teacher and as a researcher for more than four decades. When I started teaching in the early 1950s, I became interested in the vibrations of plates and shells. Soon after I joined the Polytechnic Institute of Brooklyn as a professor, I began working busily on my research in vibrations of sandwich and layered plates and shells, and then teaching a graduate course on the same subject. Although I tried to put together my lecture notes into a book, I never finished it. Many years later, I came to the New Jersey Institute of Technology as the dean of engineering. When I went back to teaching and looked for some research areas to work on, I came upon laminated composites and piezoelectric layers, which appeared to be natural extensions of sandwiches. Working on these for the last several years has brought me a great deal of joy, since I still am able to find my work relevant. At least I can claim that I still am pursuing life-long learning as it is advocated by educators all over the country. This book is based on the research results I accumulated during these two periods of my work, the first on vibrations and dynamical model ing of sandwiches, and the second on laminated composites and piezoelec tric layers.
Nonlinear Theory Of Elastic Plates
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Author : Anh Le Van
language : en
Publisher: Elsevier
Release Date : 2017-05-31
Nonlinear Theory Of Elastic Plates written by Anh Le Van and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-05-31 with Mathematics categories.
Nonlinear Theory of Elastic Plates provides the theoretical materials necessary for the three plate models—Cosserat plates, Reissner-Mindlin plates and Kirchhoff-Love plates— in the context of finite elastic deformations. One separate chapter is devoted to the linearized theory of Kirchhoff-Love plates, which allows for the study of vibrations of a pre-stressed plate and the static buckling of a plate. All mathematical results in the tensor theory in curvilinear coordinates necessary to investigate the plate theory in finite deformations are provided, making this a self-contained resource. - Presents the tricky process of linearization, which is rarely dealt with, but explained in detail in a separate chapter - Organized in a mathematical style, with definitions, hypotheses, theorems and proofs clearly stated - Presents every theorem with its accompanying hypotheses, enabling the reader to quickly recognize the conditions of validity in results
A History Of The Theory Of Elasticity And Of The Strength Of Materials
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Author : Isaac Todhunter
language : en
Publisher: Cambridge University Press
Release Date : 2014-03-20
A History Of The Theory Of Elasticity And Of The Strength Of Materials written by Isaac Todhunter and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-03-20 with History categories.
A distinguished mathematician and notable university teacher, Isaac Todhunter (1820-84) became known in his time for his successful textbooks. Edited and completed by Karl Pearson (1857-1936), and published between 1886 and 1893, this three-part work traces the mathematical understanding of elasticity from Galileo to Lord Kelvin.
A History Of The Theory Of Elasticity And Of The Strength Of Materials
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Author : Isaac Todhunter
language : en
Publisher:
Release Date : 1893
A History Of The Theory Of Elasticity And Of The Strength Of Materials written by Isaac Todhunter and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1893 with Elasticity categories.
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.
A History Of The Theory Of Elasticity And Of The Strength Of Materials Galilei To Saint Venant 1639 1850 V 2 Pt 1 2 Saint Venant To Lord Kelvin
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Author : Isaac Todhunter
language : en
Publisher:
Release Date : 1886
A History Of The Theory Of Elasticity And Of The Strength Of Materials Galilei To Saint Venant 1639 1850 V 2 Pt 1 2 Saint Venant To Lord Kelvin written by Isaac Todhunter and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1886 with Elasticity categories.
A History Of The Theory Of Elasticity And Of The Strength Of Materials Pt 1 2 Saint Venant To Lord Kelvin
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Author : Isaac Todhunter
language : en
Publisher:
Release Date : 1893
A History Of The Theory Of Elasticity And Of The Strength Of Materials Pt 1 2 Saint Venant To Lord Kelvin written by Isaac Todhunter and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1893 with Elasticity categories.