The Theory Of Anisotropic Elastic Plates

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Anisotropic Elastic Plates

Author : Chyanbin Hwu
Publisher : Springer Science & Business Media
ISBN 13 : 1441959157
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 2010-08-09 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
ISBN 13 : 9789401734806
Total Pages : 243 pages
Book Rating : 4.7/5 (348 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. This book was released on 2014-10-09 with total page 243 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 Elastic Plates

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

DOWNLOAD NOW!

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.

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.

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.

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

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. Sample Chapter(s). Chapter 1: Elements of the Linear Theory of Elasticity (416 KB). Contents: Elements of the Linear Theory of Elasticity; Solutions of the Three-Dimensional Equations; Infinite Power Series of Two-Dimensional Equations; Zero-Order Approximation; First-Order Approximation; Intermediate Approximations. Readership: Researchers in mechanics, civil and mechanical engineering and applied mathematics.

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

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

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.

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:

Anisotropic Elasticity

Author : T. C. T. Ting
Publisher : Oxford University Press on Demand
ISBN 13 : 0195074475
Total Pages : 591 pages
Book Rating : 4.1/5 (95 download)

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Book Synopsis Anisotropic Elasticity by : T. C. T. Ting

Download or read book Anisotropic Elasticity written by T. C. T. Ting and published by Oxford University Press on Demand. This book was released on 1996 with total page 591 pages. Available in PDF, EPUB and Kindle. Book excerpt: Elasticity is a property of materials which returns them to their original shape after forces applied to change the shape have been removed. This advanced text explores the problems of composite or anisotropic materials and their elasticity.

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 Elasticity

Author : Thomas C. T. Ting
Publisher : Oxford University Press
ISBN 13 : 0198023847
Total Pages : 592 pages
Book Rating : 4.1/5 (98 download)

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Book Synopsis Anisotropic Elasticity by : Thomas C. T. Ting

Download or read book Anisotropic Elasticity written by Thomas C. T. Ting and published by Oxford University Press. This book was released on 1996-02-15 with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt: Anisotropic Elasticity offers for the first time a comprehensive survey of the analysis of anisotropic materials that can have up to twenty-one elastic constants. Focusing on the mathematically elegant and technically powerful Stroh formalism as a means to understanding the subject, the author tackles a broad range of key topics, including antiplane deformations, Green's functions, stress singularities in composite materials, elliptic inclusions, cracks, thermo-elasticity, and piezoelectric materials, among many others. Well written, theoretically rigorous, and practically oriented, the book will be welcomed by students and researchers alike.

Elasticity of Transversely Isotropic Materials

Author : Haojiang Ding
Publisher : Springer Science & Business Media
ISBN 13 : 1402040342
Total Pages : 443 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Elasticity of Transversely Isotropic Materials by : Haojiang Ding

Download or read book Elasticity of Transversely Isotropic Materials written by Haojiang Ding and published by Springer Science & Business Media. This book was released on 2006-07-09 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book aims to provide a comprehensive introduction to the theory and applications of the mechanics of transversely isotropic elastic materials. There are many reasons why it should be written. First, the theory of transversely isotropic elastic materials is an important branch of applied mathematics and engineering science; but because of the difficulties caused by anisotropy, the mathematical treatments and descriptions of individual problems have been scattered throughout the technical literature. This often hinders further development and applications. Hence, a text that can present the theory and solution methodology uniformly is necessary. Secondly, with the rapid development of modern technologies, the theory of transversely isotropic elasticity has become increasingly important. In addition to the fields with which the theory has traditionally been associated, such as civil engineering and materials engineering, many emerging technologies have demanded the development of transversely isotropic elasticity. Some immediate examples are thin film technology, piezoelectric technology, functionally gradient materials technology and those involving transversely isotropic and layered microstructures, such as multi-layer systems and tribology mechanics of magnetic recording devices. Thus a unified mathematical treatment and presentation of solution methods for a wide range of mechanics models are of primary importance to both technological and economic progress.

Theory of Elasticity of an Anisotropic Elastic Body

Author : Sergeĭ Georgievich Lekhnit͡skiĭ
Publisher :
ISBN 13 :
Total Pages : 424 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Theory of Elasticity of an Anisotropic Elastic Body by : Sergeĭ Georgievich Lekhnit͡skiĭ

Download or read book Theory of Elasticity of an Anisotropic Elastic Body written by Sergeĭ Georgievich Lekhnit͡skiĭ and published by . This book was released on 1963 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Structural Analysis of Laminated Anisotropic Plates

Author : JamesM. Whitney
Publisher : Routledge
ISBN 13 : 1351413279
Total Pages : 356 pages
Book Rating : 4.3/5 (514 download)

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Book Synopsis Structural Analysis of Laminated Anisotropic Plates by : JamesM. Whitney

Download or read book Structural Analysis of Laminated Anisotropic Plates written by JamesM. Whitney and published by Routledge. This book was released on 2018-03-29 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: A major basic text on the theory and structural applications of laminated anisotropic plates. Detailed coverage of problems of bending under transverse load, stability, and free-vibrations, as well as laminated beams, expansional strain effects, curved plates, and free-edge effects.

Modern Trends in Structural and Solid Mechanics 2

Author : Noel Challamel
Publisher : John Wiley & Sons
ISBN 13 : 1119831849
Total Pages : 306 pages
Book Rating : 4.1/5 (198 download)

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Book Synopsis Modern Trends in Structural and Solid Mechanics 2 by : Noel Challamel

Download or read book Modern Trends in Structural and Solid Mechanics 2 written by Noel Challamel and published by John Wiley & Sons. This book was released on 2021-06-08 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book comprised of three separate volumes presents the recent developments and research discoveries in structural and solid mechanics; it is dedicated to Professor Isaac Elishakoff. This second volume is devoted to the vibrations of solid and structural members. Modern Trends in Structural and Solid Mechanics 2 has broad scope, covering topics such as: exact and approximate vibration solutions of rods, beams, membranes, plates and three-dimensional elasticity problems, Bolotins dynamic edge effect, the principles of plate theories in dynamics, nano- and microbeams, nonlinear dynamics of shear extensible beams, the vibration and aeroelastic stability behavior of cellular beams, the dynamic response of elastoplastic softening oscillators, the complex dynamics of hysteretic oscillators, bridging waves, and the three-dimensional propagation of waves. This book is intended for graduate students and researchers in the field of theoretical and applied mechanics.