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Author : Sergeĭ Aleksandrovich Ambart︠s︡umi︠a︡n
Publisher :
ISBN 13 :
Total Pages : 266 pages
Book Rating : 4.F/5 ( download)
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 266 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Lenser Aghalovyan
Publisher : World Scientific
ISBN 13 : 9814579041
Total Pages : 376 pages
Book Rating : 4.8/5 (145 download)
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
Author : Chyanbin Hwu
Publisher : Springer Science & Business Media
ISBN 13 : 1441959157
Total Pages : 678 pages
Book Rating : 4.4/5 (419 download)
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.
Author : Sergei Aleksandrovich Ambartsumian
Publisher :
ISBN 13 :
Total Pages : 248 pages
Book Rating : 4.:/5 (85 download)
Download or read book Theory of Anisotropic Plates written by Sergei Aleksandrovich Ambartsumian and published by . This book was released on 1991 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : JamesM. Whitney
Publisher : Routledge
ISBN 13 : 1351413279
Total Pages : 356 pages
Book Rating : 4.3/5 (514 download)
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.
Author : S. A. Ambartsumyan
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (963 download)
Download or read book Theory of Anisotropic Plates written by S. A. Ambartsumyan and published by . This book was released on 1970 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Kaza Vijayakumar
Publisher : Springer Nature
ISBN 13 : 9813342102
Total Pages : 149 pages
Book Rating : 4.8/5 (133 download)
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.
Author : Z. Sobotka
Publisher : Elsevier
ISBN 13 : 1483291790
Total Pages : 657 pages
Book Rating : 4.4/5 (832 download)
Download or read book Theory of Plasticity and Limit Design of Plates written by Z. Sobotka and published by Elsevier. This book was released on 2013-10-22 with total page 657 pages. Available in PDF, EPUB and Kindle. Book excerpt: An extensive review of the theory of plasticity, limit design and limit analysis of plates is contained in this volume. Detailed descriptions are given on the plastic behaviour of homogeneous, reinforced and sandwich plates, and on the rise of various yield-line patterns. The volume differs from other books on the plastic analysis of plates by its comprehensive treatment of: the theory of yield fans connected with yield-line planning; the plastic behaviour of plates under combined loadings characterized by the load factors; statical solutions; and continuous, rectangular and skew plates.Before discussing the upper-bound solutions for various types of ultimate loads acting on isotropic, orthotropic and anisotropic plates, the kinematic conditions of the plastic behaviour of plates and the principles and methods of the yield-line theory are examined in detail. Generalized yield conditions of the second degree for orthotropic and anisotropic plates are introduced. Special attention is paid to the rise of yield fans. The concept of yield line planning is also discussed, which may be of practical interest since it indicates the possibilities for preventing the rise of yield fans. Upper-bound and lower-bound solutions for the ultimate uniform load, concentrated loads, triangular and trapexoidal loads, are presented. Similar solutions are provided for continuous loads bounded by various plane and curved surfaces and for various combinations of loads acting on rectangular, polygonal, circular, elliptic and skew plates. Solutions are given for plates on hinged supports, on free supports with elevating corners, on point supports and also for plates with built-in edges. Numerical tables are provided for determining the ultimate loads, bearing moments needed for the given load systems and the parameters of yield-line patterns. The procedures detailed in the volume will prove an indispensable reference source in the practical design of roof, ceiling and bridge slabs.
Author : S. A. Ambartsumyan
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (246 download)
Download or read book Theory of Anisotropic Plates written by S. A. Ambartsumyan and published by . This book was released on 1970 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Chyanbin Hwu
Publisher : Springer Nature
ISBN 13 : 303066676X
Total Pages : 913 pages
Book Rating : 4.0/5 (36 download)
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.
Author : Sergeĭ Georgievich Lekhnit͡skiĭ
Publisher : Routledge
ISBN 13 :
Total Pages : 560 pages
Book Rating : 4.:/5 (45 download)
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:
Author : Raymond David Mindlin
Publisher : World Scientific
ISBN 13 : 9812772499
Total Pages : 211 pages
Book Rating : 4.8/5 (127 download)
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.
Author : T.S. Vashakmadze
Publisher : Springer Science & Business Media
ISBN 13 : 9401734798
Total Pages : 256 pages
Book Rating : 4.4/5 (17 download)
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.
Author : Chyanbin Hwu
Publisher : Springer Science & Business Media
ISBN 13 : 1441959149
Total Pages : 678 pages
Book Rating : 4.4/5 (419 download)
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.
Author : Holm Altenbach
Publisher : Springer Nature
ISBN 13 : 3030474917
Total Pages : 470 pages
Book Rating : 4.0/5 (34 download)
Download or read book Analysis of Shells, Plates, and Beams written by Holm Altenbach and published by Springer Nature. This book was released on 2020-06-03 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book commemorates the 75th birthday of Prof. George Jaiani – Georgia’s leading expert on shell theory. He is also well known outside Georgia for his individual approach to shell theory research and as an organizer of meetings, conferences and schools in the field. The collection of papers presented includes articles by scientists from various countries discussing the state of the art and new trends in the theory of shells, plates, and beams. Chapter 20 is available open access under a Creative Commons Attribution 4.0 International License via link.springer.com.
Author : Sergeĭ Aleksandrovich Ambart͡sumi͡an
Publisher :
ISBN 13 :
Total Pages : 426 pages
Book Rating : 4.X/5 (1 download)
Download or read book Theory of Anisotropic Shells written by Sergeĭ Aleksandrovich Ambart͡sumi͡an and published by . This book was released on 1964 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Holm Altenbach
Publisher : Springer Science & Business Media
ISBN 13 : 3642218555
Total Pages : 750 pages
Book Rating : 4.6/5 (422 download)
Download or read book Shell-like Structures written by Holm Altenbach and published by Springer Science & Business Media. This book was released on 2011-07-03 with total page 750 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this volume scientists and researchers from industry discuss the new trends in simulation and computing shell-like structures. The focus is put on the following problems: new theories (based on two-dimensional field equations but describing non-classical effects), new constitutive equations (for materials like sandwiches, foams, etc. and which can be combined with the two-dimensional shell equations), complex structures (folded, branching and/or self intersecting shell structures, etc.) and shell-like structures on different scales (for example: nano-tubes) or very thin structures (similar to membranes, but having a compression stiffness). In addition, phase transitions in shells and refined shell thermodynamics are discussed. The chapters of this book are the most exciting contributions presented at the EUROMECH 527 Colloquium “Shell-like structures: Non-classical Theories and Applications” held in Wittenberg, Germany.
