anisotropic-elastic-plates

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Anisotropic Elastic Plates

Author : Chyanbin Hwu
Publisher : Springer Science & Business Media
ISBN 13 : 1441959149
Total Pages : 678 pages
Book Rating : 4.4/5 (419 download)

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Book Synopsis Anisotropic Elastic Plates by : Chyanbin Hwu

Download or read book Anisotropic Elastic Plates written by Chyanbin Hwu and published by Springer Science & Business Media. This book was released on 2010-05-25 with total page 678 pages. Available in PDF, EPUB and Kindle. Book excerpt: As structural elements, anisotropic elastic plates find wide applications in modern technology. The plates here are considered to be subjected to not only inplane load but also transverse load. In other words, both plane and plate bending problems as well as the stretching-bending coupling problems are all explained in this book. In addition to the introduction of the theory of anisotropic elasticity, several important subjects have are discussed in this book such as interfaces, cracks, holes, inclusions, contact problems, piezoelectric materials, thermoelastic problems and boundary element analysis.

The Theory of Anisotropic Elastic Plates

Author : T.S. Vashakmadze
Publisher : Springer Science & Business Media
ISBN 13 : 9401734798
Total Pages : 256 pages
Book Rating : 4.4/5 (17 download)

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Book Synopsis The Theory of Anisotropic Elastic Plates by : T.S. Vashakmadze

Download or read book The Theory of Anisotropic Elastic Plates written by T.S. Vashakmadze and published by Springer Science & Business Media. This book was released on 2013-11-27 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main purpose of this work is construction of the mathematical theory of elastic plates and shells, by means of which the investigation of basic boundary value problems of the spatial theory of elasticity in the case of cylindrical do mains reduces to the study of two-dimensional boundary value problems (BVP) of comparatively simple structure. In this respect in sections 2-5 after the introductory material, methods of re duction, known in the literature as usually being based on simplifying hypotheses, are studied. Here, in contradiction to classical methods, the problems, connected with construction of refined theories of anisotropic nonhomogeneous plates with variable thickness without the assumption of any physical and geometrical re strictions, are investigated. The comparative analysis of such reduction methods was carried out, and, in particular, in section 5, the following fact was established: the error transition, occuring with substitution of a two-dimensional model for the initial problem on the class of assumed solutions is restricted from below. Further, in section 6, Vekua's method of reduction, containing regular pro cess of study of three-dimensional problem, is investigated. In this direction, the problems, connected with solvability, convergence of processes, and construction of effective algorithms of approximate solutions are studied.

Anisotropic Elasticity with Matlab

Author : Chyanbin Hwu
Publisher : Springer Nature
ISBN 13 : 303066676X
Total Pages : 913 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Anisotropic Elasticity with Matlab by : Chyanbin Hwu

Download or read book Anisotropic Elasticity with Matlab written by Chyanbin Hwu and published by Springer Nature. This book was released on 2021-04-27 with total page 913 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides the theory of anisotropic elasticity with the computer program for analytical solutions as well as boundary element methods. It covers the elastic analysis of two-dimensional, plate bending, coupled stretching-bending, and three-dimensional deformations, and is extended to the piezoelectric, piezomagnetic, magnetic-electro-elastic, viscoelastic materials, and the ones under thermal environment. The analytical solutions include the solutions for infinite space, half-space, bi-materials, wedges, interface corners, holes, cracks, inclusions, and contact problems. The boundary element solutions include BEMs for two-dimensional anisotropic elastic, piezoelectric, magnetic-electro-elastic, viscoelastic analyses, and their associated dynamic analyses, as well as coupled stretching-bending analysis, contact analysis, and three-dimensional analysis. This book also provides source codes and examples for all the presenting analytical solutions and boundary element methods. The program is named as AEPH (Anisotropic Elastic Plates – Hwu), which contains 204 MATLAB functions.

Anisotropic Plates

Author : Sergeĭ Georgievich Lekhnit͡skiĭ
Publisher : Routledge
ISBN 13 :
Total Pages : 560 pages
Book Rating : 4.:/5 (45 download)

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Book Synopsis Anisotropic Plates by : Sergeĭ Georgievich Lekhnit͡skiĭ

Download or read book Anisotropic Plates written by Sergeĭ Georgievich Lekhnit͡skiĭ and published by Routledge. This book was released on 1968 with total page 560 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Theory of Anisotropic Plates

Author : Sergeĭ Aleksandrovich Ambart︠s︡umi︠a︡n
Publisher :
ISBN 13 :
Total Pages : 264 pages
Book Rating : 4.:/5 (37 download)

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Book Synopsis Theory of Anisotropic Plates by : Sergeĭ Aleksandrovich Ambart︠s︡umi︠a︡n

Download or read book Theory of Anisotropic Plates written by Sergeĭ Aleksandrovich Ambart︠s︡umi︠a︡n and published by . This book was released on 1970 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Poisson Theory of Elastic Plates

Author : Kaza Vijayakumar
Publisher : Springer Nature
ISBN 13 : 9813342102
Total Pages : 149 pages
Book Rating : 4.8/5 (133 download)

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Book Synopsis Poisson Theory of Elastic Plates by : Kaza Vijayakumar

Download or read book Poisson Theory of Elastic Plates written by Kaza Vijayakumar and published by Springer Nature. This book was released on 2021-01-25 with total page 149 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Asymptotic Theory of Anisotropic Plates and Shells

Author : Lenser Aghalovyan
Publisher : World Scientific
ISBN 13 : 9814579041
Total Pages : 376 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Asymptotic Theory of Anisotropic Plates and Shells by : Lenser Aghalovyan

Download or read book Asymptotic Theory of Anisotropic Plates and Shells written by Lenser Aghalovyan and published by World Scientific. This book was released on 2015-03-03 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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. Contents:Plane Problem for a Rectangular Elastic StripThe Winkler-Fuss ModelDirect Asymptotic Integration of 3D Elasticity Equations for Orthotropic PlatesMatching of the Outer Solution and the Boundary Layer for an Orthotropic PlateElastic Plates of General AnisotropyNon-Classical Boundary Value Problems for Anisotropic PlatesTwo-Layer Anisotropic Plates. The Modulus of a Layered FoundationAsymptotic Analysis of the Outer Problem for an Orthotropic ShellBoundary Layer in Orthotropic ShellsNon-Classical Boundary Value Problems for Anisotropic ShellsSpatial Dynamic Problems for Anisotropic Plates Readership: Researchers and specialists in applied mathematics and mechanical engineering, undergraduates and graduate students. Keywords:Asymptotic Theories;Beams;Plates;Shells;Problems of Elasticity Theory;Layered Thermoelastic Thin Structures;Elastic Foundations;Non-Classical Boundary Problems for Anisotropic Beams, Plates and Shells;Singularly Perturbed Systems;Boundary LayerKey Features:The book exposits consistent theory for composite thin walled elastic structures. The obtained results are applied to justification and refinement of ad hoc engineering structural theoriesThe effective solutions of a variety of boundary value problems are obtainedThere is a clear potential for numerous advanced industrial applications

Vibrations of Elastic Plates

Author : Yi-Yuan Yu
Publisher : Springer Science & Business Media
ISBN 13 : 1461223385
Total Pages : 234 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Vibrations of Elastic Plates by : Yi-Yuan Yu

Download or read book Vibrations of Elastic Plates written by Yi-Yuan Yu and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Anisotropic Elasticity

Author : Paolo Vannucci
Publisher : Springer
ISBN 13 : 9811054398
Total Pages : 426 pages
Book Rating : 4.8/5 (11 download)

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Book Synopsis Anisotropic Elasticity by : Paolo Vannucci

Download or read book Anisotropic Elasticity written by Paolo Vannucci and published by Springer. This book was released on 2017-07-10 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a modern and unconventional introduction to anisotropy. The first part presents a general description of Anisotropic Elasticity theories while the second part focuses on the polar formalism: the theoretical bases and results are completely developed along with applications to design problems of laminated anisotropic structures. The book is based on lectures on anisotropy which have been held at Ecole Polytechnique in Paris.

An Introduction to the Mathematical Theory of Vibrations of Elastic Plates

Author : Raymond David Mindlin
Publisher : World Scientific
ISBN 13 : 9812703810
Total Pages : 211 pages
Book Rating : 4.8/5 (127 download)

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Book Synopsis An Introduction to the Mathematical Theory of Vibrations of Elastic Plates by : Raymond David Mindlin

Download or read book An Introduction to the Mathematical Theory of Vibrations of Elastic Plates written by Raymond David Mindlin and published by World Scientific. This book was released on 2006 with total page 211 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book by the late R D Mindlin is destined to become a classic introduction to the mathematical aspects of two-dimensional theories of elastic plates. It systematically derives the two-dimensional theories of anisotropic elastic plates from the variational formulation of the three-dimensional theory of elasticity by power series expansions. The uniqueness of two-dimensional problems is also examined from the variational viewpoint. The accuracy of the two-dimensional equations is judged by comparing the dispersion relations of the waves that the two-dimensional theories can describe with prediction from the three-dimensional theory. Discussing mainly high-frequency dynamic problems, it is also useful in traditional applications in structural engineering as well as provides the theoretical foundation for acoustic wave devices.

An Introduction to the Mathematical Theory of Vibrations of Elastic Plates

Author : Raymond David Mindlin
Publisher : World Scientific
ISBN 13 : 9812772499
Total Pages : 211 pages
Book Rating : 4.8/5 (127 download)

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Book Synopsis An Introduction to the Mathematical Theory of Vibrations of Elastic Plates by : Raymond David Mindlin

Introduction To The Mathematical Theory Of Vibrations Of Elastic Plates, An - By R D Mindlin

Author : Jiashi Yang
Publisher : World Scientific
ISBN 13 : 9814476544
Total Pages : 211 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Introduction To The Mathematical Theory Of Vibrations Of Elastic Plates, An - By R D Mindlin by : Jiashi Yang

Download or read book Introduction To The Mathematical Theory Of Vibrations Of Elastic Plates, An - By R D Mindlin written by Jiashi Yang and published by World Scientific. This book was released on 2006-12-29 with total page 211 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book by the late R D Mindlin is destined to become a classic introduction to the mathematical aspects of two-dimensional theories of elastic plates. It systematically derives the two-dimensional theories of anisotropic elastic plates from the variational formulation of the three-dimensional theory of elasticity by power series expansions. The uniqueness of two-dimensional problems is also examined from the variational viewpoint. The accuracy of the two-dimensional equations is judged by comparing the dispersion relations of the waves that the two-dimensional theories can describe with prediction from the three-dimensional theory. Discussing mainly high-frequency dynamic problems, it is also useful in traditional applications in structural engineering as well as provides the theoretical foundation for acoustic wave devices.

Anisotropic Plates

Author : Sergei Georgievich Lekhnitskii
Publisher :
ISBN 13 :
Total Pages : 354 pages
Book Rating : 4.:/5 (932 download)

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Book Synopsis Anisotropic Plates by : Sergei Georgievich Lekhnitskii

Download or read book Anisotropic Plates written by Sergei Georgievich Lekhnitskii and published by . This book was released on 2004 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Modern Theory of Anisotropic Elasticity and Applications

Author : Julian J. Wu
Publisher : SIAM
ISBN 13 : 9780898712896
Total Pages : 394 pages
Book Rating : 4.7/5 (128 download)

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Book Synopsis Modern Theory of Anisotropic Elasticity and Applications by : Julian J. Wu

Download or read book Modern Theory of Anisotropic Elasticity and Applications written by Julian J. Wu and published by SIAM. This book was released on 1991-01-01 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: A selection of 26 original papers, some of them substantially revised after the workshop, discuss anisotropic elasticity and its applications in solid mechanics and applied mathematics. Considering elastostatics, elastodynamics, and constitutive relations, they discuss such topics as Green's functio

Anisotropic Plates

Author : Sergeĭ Georgievich Lekhnit︠s︡kiĭ
Publisher :
ISBN 13 :
Total Pages : 354 pages
Book Rating : 4.:/5 (95 download)

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Book Synopsis Anisotropic Plates by : Sergeĭ Georgievich Lekhnit︠s︡kiĭ

Download or read book Anisotropic Plates written by Sergeĭ Georgievich Lekhnit︠s︡kiĭ and published by . This book was released on 1956 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Anisotropic Plates

Author : Sergei G. Lechnickij
Publisher :
ISBN 13 : 9782881242007
Total Pages : 0 pages
Book Rating : 4.2/5 (42 download)

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Book Synopsis Anisotropic Plates by : Sergei G. Lechnickij

Download or read book Anisotropic Plates written by Sergei G. Lechnickij and published by . This book was released on 1968 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Methods And Models In Composites (Second Edition)

Author : Vladislav Mantic
Publisher : World Scientific
ISBN 13 : 1800611897
Total Pages : 731 pages
Book Rating : 4.8/5 (6 download)

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Book Synopsis Mathematical Methods And Models In Composites (Second Edition) by : Vladislav Mantic

Download or read book Mathematical Methods And Models In Composites (Second Edition) written by Vladislav Mantic and published by World Scientific. This book was released on 2023-03-10 with total page 731 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Methods and Models in Composites (Second Edition) provides an in-depth treatment of modern and rigorous mathematical methods and models applied to composites modeling on the micro-, meso-, and macro scale. There has been a steady growth in the diversity of such methods and models that are used in the analysis and characterization of composites, their behavior, and their associated phenomena and processes. This second edition expands upon the success of the first edition, and has been substantially revised and updated.Written by well-known experts in different areas of applied mathematics, physics, and composite engineering, this book is mainly focused on continuous fiber reinforced composites and their ever increasing range of applications (for example, in the aerospace industry), though it also covers other kind of composites. The chapters cover a range of topics including, but not limited to: scaling and homogenization procedures in composites, thin plate and wave solutions in anisotropic materials, laminated structures, fiber-reinforced nonlinearly elastic solids, buckling and postbuckling, fracture and damage analysis of composites, and highly efficient methods for simulation of composites manufacturing such as resin transfer molding. The results presented are useful for the design, fabrication, testing and industrial applications of composite components and structures.This book is an essential reference for graduate and doctoral students, as well as researchers in mathematics, physics and composite engineering. Explanations and references in the book are sufficiently detailed so as to provide the necessary background to further investigate the fascinating subject of composites modeling and explore relevant research literature. It is also suitable for non-experts who wish to have an overview of the mathematical methods and models used for composites, and of the open problems in this area that require further research.