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A Refined Theory Of Anisotropic Shells


A Refined Theory Of Anisotropic Shells
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A Refined Theory Of Anisotropic Shells


A Refined Theory Of Anisotropic Shells
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Author :
language : en
Publisher:
Release Date : 1972

A Refined Theory Of Anisotropic Shells written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972 with categories.


Construction of a new refined theory of anisotropic shells not involv-ing the widely held assumption that the normal displacement is inde- pendent of the coordinate of the normal to the middle surface. It is shown that, in contrast to all other refined theories of the class considered, the proposed geometrical model of shell deformation is such that all the displacement components at a given point on the shell depend nonlinearly on the above mentioned coordinate. (Author-PL).



Fragments Of The Theory Of Anisotropic Shells


Fragments Of The Theory Of Anisotropic Shells
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Author : Serge? Aleksandrovich Ambart?sumi?an
language : en
Publisher: World Scientific
Release Date : 1991

Fragments Of The Theory Of Anisotropic Shells written by Serge? Aleksandrovich Ambart?sumi?an and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Science categories.


http://www.worldscientific.com/worldscibooks/10.1142/0937



Recent Developments In Anisotropic Heterogeneous Shell Theory


Recent Developments In Anisotropic Heterogeneous Shell Theory
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Author : Alexander Ya. Grigorenko
language : en
Publisher: Springer
Release Date : 2016-06-02

Recent Developments In Anisotropic Heterogeneous Shell Theory written by Alexander Ya. Grigorenko and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-06-02 with Science categories.


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.



Recent Developments In Anisotropic Heterogeneous Shell Theory


Recent Developments In Anisotropic Heterogeneous Shell Theory
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Author : Alexander Ya. Grigorenko
language : en
Publisher: Springer
Release Date : 2016-06-02

Recent Developments In Anisotropic Heterogeneous Shell Theory written by Alexander Ya. Grigorenko and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-06-02 with Science categories.


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.



Asymptotic Theory Of Anisotropic Plates And Shells


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.



Theory Of Anisotropic Shells


Theory Of Anisotropic Shells
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Author : Sergeĭ Aleksandrovich Ambart͡sumi͡an
language : en
Publisher:
Release Date : 1964

Theory Of Anisotropic Shells written by Sergeĭ Aleksandrovich Ambart͡sumi͡an and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1964 with Anisotropy categories.




Geometrically Non Linear Dynamics Of Anisotropic Open Cylindrical Shells With A Refined Shell Theory


Geometrically Non Linear Dynamics Of Anisotropic Open Cylindrical Shells With A Refined Shell Theory
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Author : M. H. Toorani
language : en
Publisher: Montréal : École polytechnique de Montréal
Release Date : 2002

Geometrically Non Linear Dynamics Of Anisotropic Open Cylindrical Shells With A Refined Shell Theory written by M. H. Toorani and has been published by Montréal : École polytechnique de Montréal this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with categories.




Theory Of Anisotropic Shells


Theory Of Anisotropic Shells
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Author : Sergeĭ Aleksandrovich Ambart︠s︡umi︠a︡n
language : en
Publisher:
Release Date : 1961

Theory Of Anisotropic Shells written by Sergeĭ Aleksandrovich Ambart︠s︡umi︠a︡n and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1961 with Shells (Engineering) categories.




The Theory Of Anisotropic Elastic Plates


The Theory Of Anisotropic Elastic Plates
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Author : T.S. Vashakmadze
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-27

The Theory Of Anisotropic Elastic Plates written by T.S. Vashakmadze 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 2013-11-27 with Science categories.


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.



Fragments Of The Theory Of Anisotropic Shells


Fragments Of The Theory Of Anisotropic Shells
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Author : S A Ambartsumian
language : en
Publisher: World Scientific
Release Date : 1990-12-13

Fragments Of The Theory Of Anisotropic Shells written by S A Ambartsumian and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-12-13 with Technology & Engineering categories.


Contents:The Classical Theory of Anisotropic ShellsDetermination of the State Stress and Deformation of Shells by the Classical TheoryThe First Improved Theory of Anisotropic ShellsThe Second Improved Theory of Anisotropic ShellsThe Nonlinear Theory of Extremely Shallow Anisotropic ShellsSome Thermoelastic Problems of Anisotropic ShellsSome Problems of Vibration of Anisotropic ShellsSome problems of Stability of Anisotropic Shells. The Theory of Anisotropic Shell Made of Different Modulus Material Readership: Engineers and applied physicists. Keywords:Classical Theory;Refined Theory;Different Modulus Theory;Strength;Stability;Vibrations;Flatter;Thermo-Elastic ProblemsReview:“It will also prove to be of interest and importance to researchers entering this field. The book is recommended to everyone interested in shell mechanics, particularly as related to anisotropic shells.”L-P Nolte Mathematics Abstracts “The book appears to be a valuable source of information for engineers and scientists working on anisotropic and composite structures. The presentation of the subjects is clear and concise.”Antonio Tralli Meccanica, 1993