Fragments of the Theory of Anisotropic Shells

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Publisher : World Scientific
ISBN 13 : 9789810200251
Total Pages : 228 pages
Book Rating : 4.2/5 (2 download)

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Book Synopsis Fragments of the Theory of Anisotropic Shells by : Serge? Aleksandrovich Ambart?sumi?an

Download or read book Fragments of the Theory of Anisotropic Shells written by Serge? Aleksandrovich Ambart?sumi?an and published by World Scientific. This book was released on 1991 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: http://www.worldscientific.com/worldscibooks/10.1142/0937

Recent Developments in Anisotropic Heterogeneous Shell Theory

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Publisher : Springer
ISBN 13 : 981100353X
Total Pages : 116 pages
Book Rating : 4.8/5 (11 download)

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Book Synopsis Recent Developments in Anisotropic Heterogeneous Shell Theory by : Alexander Ya. Grigorenko

Download or read book Recent Developments in Anisotropic Heterogeneous Shell Theory written by Alexander Ya. Grigorenko and published by Springer. This book was released on 2015-12-30 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume focuses on the relevant general theory and presents some first applications, namely those based on classical shell theory. After a brief introduction, during which the history and state-of-the-art are discussed, the first chapter presents the mechanics of anisotropic heterogeneous shells, covering all relevant assumptions and the basic relations of 3D elasticity, classical and refined shell models. The second chapter examines the numerical techniques that are used, namely discrete orthogonalization, spline-collocation and Fourier series, while the third highlights applications based on classical theory, in particular, the stress-strain state of shallow shells, non-circular shells, shells of revolution, and free vibrations of conical shells. The book concludes with a summary and an outlook bridging the gap to the second volume.

Theory of Anisotropic Shells

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Publisher :
ISBN 13 :
Total Pages : 426 pages
Book Rating : 4.X/5 (1 download)

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Book Synopsis Theory of Anisotropic Shells by : Sergeĭ Aleksandrovich Ambart͡sumi͡an

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:

Shell Structures: Theory and Applications Volume 4

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Publisher : CRC Press
ISBN 13 : 1351680471
Total Pages : 1012 pages
Book Rating : 4.3/5 (516 download)

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Book Synopsis Shell Structures: Theory and Applications Volume 4 by : Wojciech Pietraszkiewicz

Download or read book Shell Structures: Theory and Applications Volume 4 written by Wojciech Pietraszkiewicz and published by CRC Press. This book was released on 2017-10-30 with total page 1012 pages. Available in PDF, EPUB and Kindle. Book excerpt: Shells are basic structural elements of modern technology and everyday life. Examples of shell structures in technology include automobile bodies, water and oil tanks, pipelines, silos, wind turbine towers, and nanotubes. Nature is full of living shells such as leaves of trees, blooming flowers, seashells, cell membranes or wings of insects. In the human body arteries, the eye shell, the diaphragm, the skin and the pericardium are all shells as well. Shell Structures: Theory and Applications, Volume 4 contains 132 contributions presented at the 11th Conference on Shell Structures: Theory and Applications (Gdansk, Poland, 11-13 October 2017). The papers reflect a wide spectrum of scientific and engineering problems from theoretical modelling through strength, stability and dynamic behaviour, numerical analyses, biomechanic applications up to engineering design of shell structures. Shell Structures: Theory and Applications, Volume 4 will be of interest to academics, researchers, designers and engineers dealing with modelling and analyses of shell structures. It may also provide supplementary reading to graduate students in Civil, Mechanical, Naval and Aerospace Engineering.

Asymptotic Theory of Anisotropic Plates and Shells

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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

Mathematical Models of Higher Orders

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Publisher : Springer
ISBN 13 : 3030047148
Total Pages : 470 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Mathematical Models of Higher Orders by : Vadim A. Krysko

Download or read book Mathematical Models of Higher Orders written by Vadim A. Krysko and published by Springer. This book was released on 2019-02-11 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a valuable methodological approach to the state-of-the-art of the classical plate/shell mathematical models, exemplifying the vast range of mathematical models of nonlinear dynamics and statics of continuous mechanical structural members. The main objective highlights the need for further study of the classical problem of shell dynamics consisting of mathematical modeling, derivation of nonlinear PDEs, and of finding their solutions based on the development of new and effective numerical techniques. The book is designed for a broad readership of graduate students in mechanical and civil engineering, applied mathematics, and physics, as well as to researchers and professionals interested in a rigorous and comprehensive study of modeling non-linear phenomena governed by PDEs.

Recent Developments in Anisotropic Heterogeneous Shell Theory

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Publisher : Springer
ISBN 13 : 9811006458
Total Pages : 42 pages
Book Rating : 4.8/5 (11 download)

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Book Synopsis Recent Developments in Anisotropic Heterogeneous Shell Theory by : Alexander Ya. Grigorenko

Download or read book Recent Developments in Anisotropic Heterogeneous Shell Theory written by Alexander Ya. Grigorenko and published by Springer. This book was released on 2016-06-02 with total page 42 pages. Available in PDF, EPUB and Kindle. Book excerpt: This brief book presents solutions of stress-strain problems for a wide class of anisotropic inhomogeneous shells obtained by the refined model. Studying these problems results in severe computational difficulties due to partial differential equations with variable coefficients resulting from the constitutive relations of the original model. To solve this problem the book uses spline-collocation and discrete-orthogonalization methods. It analyses the influence of geometrical and mechanical parameters, of various kinds of boundary conditions, and of the loading conditions on the distributions of stress and displacement fields in shallow, spherical, conical, and noncircular cylindrical shells. The dependence of the stress-strain pattern on shell thickness variations is studied. The authors solve the problem also for the case of the thickness varying in two directions. They study how a variation in shell thickness influences the stress-strain state and consider noncircular cylindrical shells with elliptical and corrugated sections are considered. The results obtained during numerous calculations support the efficiency of the discrete-orthogonalization approach proposed in the monograph for solving static problems for anisotropic inhomogeneous shells when using the refined model.

Theory of Anisotropic Shells

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Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (641 download)

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Book Synopsis Theory of Anisotropic Shells by : Sergei A. Ambartsumian

Download or read book Theory of Anisotropic Shells written by Sergei A. Ambartsumian and published by . This book was released on 1961 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Asymptotical Mechanics of Thin-Walled Structures

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Publisher : Springer Science & Business Media
ISBN 13 : 354045246X
Total Pages : 527 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Asymptotical Mechanics of Thin-Walled Structures by : Igor V. Andrianov

Download or read book Asymptotical Mechanics of Thin-Walled Structures written by Igor V. Andrianov and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 527 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book a detailed and systematic treatment of asymptotic methods in the theory of plates and shells is presented. The main features of the book are the basic principles of asymptotics and their applications, traditional approaches such as regular and singular perturbations, as well as new approaches such as the composite equations approach. The book introduces the reader to the field of asymptotic simplification of the problems of the theory of plates and shells and will be useful as a handbook of methods of asymptotic integration. Providing a state-of-the-art review of asymptotic applications, this book will be useful as an introduction to the field for novices as well as a reference book for specialists.

Recent Developments in Anisotropic Heterogeneous Shell Theory

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Publisher : Springer
ISBN 13 : 9811015961
Total Pages : 108 pages
Book Rating : 4.8/5 (11 download)

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Book Synopsis Recent Developments in Anisotropic Heterogeneous Shell Theory by : Alexander Ya. Grigorenko

Download or read book Recent Developments in Anisotropic Heterogeneous Shell Theory written by Alexander Ya. Grigorenko and published by Springer. This book was released on 2016-06-02 with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt: These two-partition books present essential approaches to numerical-analytical solutions of problems in the mechanics of shells with various structures and shapes based on refined and spatial models. Further, it examines the mechanical behavior of shallow, circular and noncircular, conical, spherical, and functionally graded shells obtained by the refined model. The book investigates the stress-strain state and free vibrations of finite-length cylinders in spatial formulation (3D elasticity theory). Further, it analyzes the influence of geometrical and mechanical parameters, of boundary conditions, and of the loading character on both the distributions of stress and displacement fields, and on the dynamical characteristics in these shells and cylinders. Lastly, it discusses in detail the validation of reliability for the results obtained by numerical calculations. As such, it complements the first part of the book, the volume Recent Developments in Anisotropic Heterogeneous Shell Theory: Applications of Refined and Three-dimensional Theory.

Inhomogeneous Waves in Solids and Fluids

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Publisher : World Scientific
ISBN 13 : 9789810208042
Total Pages : 328 pages
Book Rating : 4.2/5 (8 download)

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Book Synopsis Inhomogeneous Waves in Solids and Fluids by : Giacomo Caviglia

Download or read book Inhomogeneous Waves in Solids and Fluids written by Giacomo Caviglia and published by World Scientific. This book was released on 1992 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book may be viewed as an introduction to time-harmonic waves in dissipative bodies, notably viscoelastic solids and fluids. The inhomogeneity of the waves, which is due to the fact that planes of constant phase are not parallel to planes of constant amplitude, is shown to be strictly related to the dissipativity of the medium. A preliminary analysis is performed on the propagation of inhomogeneous waves in unbounded media and of reflection and refraction at plane interfaces. Then emphasis is given to those features that are of significance for applications. In essence, they regard surface waves, scattering by (curved) obstacles, wave propagation in layered heterogeneous media, and ray methods. The pertinent mathematical techniques are discussed so as to make the book reasonably self-contained.

Diffusion Processes During Drying of Solids

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Publisher : World Scientific
ISBN 13 : 9789810202781
Total Pages : 174 pages
Book Rating : 4.2/5 (27 download)

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Book Synopsis Diffusion Processes During Drying of Solids by : K. N. Shukla

Download or read book Diffusion Processes During Drying of Solids written by K. N. Shukla and published by World Scientific. This book was released on 1990 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt: The monograph presents a detailed mathematical examination of the generalised laws of diffusion in capillary porous solids as applicable to particular geometric situations of interest in the technology of drying. The novelty of the monograph is to present the result in dimensionless form under general type of boundary conditions. Many important results are presented graphically. The integral transform technique is used throughout the work and a host of useful information of the technique is included in the appendix. Research scientists and practising engineers in the areas of applied mathematics, materials and energy will find it a very useful monograph.

Mechanics of Porous and Fractured Media

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Publisher : World Scientific
ISBN 13 : 9789971503833
Total Pages : 496 pages
Book Rating : 4.5/5 (38 download)

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Book Synopsis Mechanics of Porous and Fractured Media by : Viktor Nikolaevich Nikolaevski?

Download or read book Mechanics of Porous and Fractured Media written by Viktor Nikolaevich Nikolaevski? and published by World Scientific. This book was released on 1990 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt: In a significantly revised English edition the text provides a solid course on mechanics of porous & fractured media (mainly of geomaterials). Part I focuses on the continuum theory of the dynamic fracture and deformation of bodies with complex rheology, including the dilatancy theory. Applications are connected with dynamics large scale processes, blast waves and with structure of the Earth's crust. Part II focuses on the effects of fluid saturation of pores and transfer phenomena. Applications are connected with seismic waves, oil and gascondensate recovery, explosion works, physico-chemical processes.

Mechanics Of Porous And Fractured Media

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Publisher : World Scientific
ISBN 13 : 9814507768
Total Pages : 491 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Mechanics Of Porous And Fractured Media by : V N Nikolaevskij

Download or read book Mechanics Of Porous And Fractured Media written by V N Nikolaevskij and published by World Scientific. This book was released on 1990-08-30 with total page 491 pages. Available in PDF, EPUB and Kindle. Book excerpt: In a significantly revised English edition the text provides a solid course on mechanics of porous & fractured media (mainly of geomaterials). Part I focuses on the continuum theory of the dynamic fracture and deformation of bodies with complex rheology, including the dilatancy theory. Applications are connected with dynamics large scale processes, blast waves and with structure of the Earth's crust. Part II focuses on the effects of fluid saturation of pores and transfer phenomena. Applications are connected with seismic waves, oil and gascondensate recovery, explosion works, physico-chemical processes.

Mechanics of Continuous Media

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Publisher :
ISBN 13 : 9789810239824
Total Pages : 712 pages
Book Rating : 4.2/5 (398 download)

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Book Synopsis Mechanics of Continuous Media by : Leonid Ivanovich Sedov

Download or read book Mechanics of Continuous Media written by Leonid Ivanovich Sedov and published by . This book was released on 1997 with total page 712 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mechanics Of Continuous Media (In 2 Vols)

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Publisher : World Scientific
ISBN 13 : 9814507466
Total Pages : 1365 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Mechanics Of Continuous Media (In 2 Vols) by : L I Sedov

Download or read book Mechanics Of Continuous Media (In 2 Vols) written by L I Sedov and published by World Scientific. This book was released on 1997-06-01 with total page 1365 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is written by Academician Sedov who is considered by many as the leading scientist in mechanics in the USSR. This latest fourth edition helps the reader in a relatively short time to master and acquire fully the essence of many geometrical and mechanical theories.

Design Technology of Fusion Reactors

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Publisher : World Scientific
ISBN 13 : 9814507474
Total Pages : 636 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Design Technology of Fusion Reactors by : M Akiyama

Download or read book Design Technology of Fusion Reactors written by M Akiyama and published by World Scientific. This book was released on 1990-12-31 with total page 636 pages. Available in PDF, EPUB and Kindle. Book excerpt: Readership: Electrical engineers, theoretical and applied physicists.