Theory of Anisotropic Shells

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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:

Theory of Anisotropic Shells

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Publisher :
ISBN 13 :
Total Pages : 396 pages
Book Rating : 4.:/5 (664 download)

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Book Synopsis Theory of Anisotropic Shells by : Sergeĭ Aleksandrovich Ambart︠s︡umi︠a︡n

Download or read book Theory of Anisotropic Shells written by Sergeĭ Aleksandrovich Ambart︠s︡umi︠a︡n and published by . This book was released on 1961 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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

Theory of Anisotropic Shells

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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:

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

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.

Hygro-Thermo-Magneto-Electro-Elastic Theory of Anisotropic Doubly-Curved Shells

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Publisher : Società Editrice Esculapio
ISBN 13 :
Total Pages : 1073 pages
Book Rating : 4.2/5 (224 download)

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Book Synopsis Hygro-Thermo-Magneto-Electro-Elastic Theory of Anisotropic Doubly-Curved Shells by : Francesco Tornabene

Download or read book Hygro-Thermo-Magneto-Electro-Elastic Theory of Anisotropic Doubly-Curved Shells written by Francesco Tornabene and published by Società Editrice Esculapio. This book was released on 2023-10-13 with total page 1073 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book aims to present in depth several Higher-order Shear Deformation Theories (HSDTs) by means of a unified approach for studying the Hygro-Thermo-Magneto-Electro- Elastic Theory of Anisotropic Doubly-Curved Shells. In particular, a general coupled multifield theory regarding anisotropic shell structures is provided. The three-dimensional multifield problem is reduced in a two-dimensional one following the principles of the Equivalent Single Layer (ESL) approach and the Equivalent Layer-Wise (ELW) approach, setting a proper configuration model. According to the adopted configuration assumptions, several Higher-order Shear Deformation Theories (HSDTs) are obtained. Furthermore, the strong and weak formulations of the corresponding governing equations are discussed and illustrated. The approach presented in this volume is completely general and represents a valid tool to investigate the physical behavior of many arbitrarily shaped structures. An isogeometric mapping procedure is also illustrated to this aim. Special attention is given also to advanced and innovative constituents, such as Carbon Nanotubes (CNTs), Variable Angle Tow (VAT) composites and Functionally Graded Materials (FGMs). In addition, several numerical applications are used to support the theoretical models. Accurate, efficient and reliable numerical techniques able to approximate both derivatives and integrals are considered, which are respectively the Differential Quadrature (DQ) and Integral Quadrature (IQ) methods. The Theory of Composite Thin Shells is derived in a simple and intuitive manner from the theory of thick and moderately thick shells (First-order Shear Deformation Theory or Reissner- Mindlin Theory). In particular, the Kirchhoff-Love Theory and the Membrane Theory for composite shells are shown. Furthermore, the Theory of Composite Arches and Beams is also exposed. In particular, the equations of the Timoshenko Theory and the Euler-Bernoulli Theory are directly deducted from the equations of singly-curved shells of translation and of plates.

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.

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.

NASA Technical Translation

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ISBN 13 :
Total Pages : 1402 pages
Book Rating : 4.:/5 (319 download)

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Book Synopsis NASA Technical Translation by :

Download or read book NASA Technical Translation written by and published by . This book was released on 1963 with total page 1402 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Anisotropic Doubly-Curved Shells

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Publisher : Società Editrice Esculapio
ISBN 13 : 8835328993
Total Pages : 1199 pages
Book Rating : 4.8/5 (353 download)

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Book Synopsis Anisotropic Doubly-Curved Shells by : Francesco Tornabene

Download or read book Anisotropic Doubly-Curved Shells written by Francesco Tornabene and published by Società Editrice Esculapio. This book was released on 2019-11-01 with total page 1199 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book aims to present in depth several Higher-order Shear Deformation Theories (HSDTs) by means of a unified approach for the mechanical analysis of doubly-curved shell structures made of anisotropic and composite materials. In particular, the strong and weak formulations of the corresponding governing equations are discussed and illustrated. The approach presented in this volume is completely general and represents a valid tool to investigate the structural behavior of many arbitrarily shaped structures. An isogeometric mapping procedure is also illustrated to this aim. Special attention is given also to advanced and innovative constituents, such as Carbon Nanotubes (CNTs), Variable Angle Tow (VAT) composites and Functionally Graded Materials (FGMs). In addition, several numerical applications are developed to support the theoretical models. Accurate, efficient and reliable numerical techniques able to approximate both derivatives and integrals are presented, which are respectively the Differential Quadrature (DQ) and Integral Quadrature (IQ) methods. Finally, two numerical techniques, named Strong Formulation Finite Element Method (SFEM) and Weak Formulation Finite Element Method (WFEM), are developed to deal with multi-element domains characterized by arbitrary shapes and discontinuities.

Scientific and Technical Aerospace Reports

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Publisher :
ISBN 13 :
Total Pages : 952 pages
Book Rating : 4.:/5 (31 download)

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Book Synopsis Scientific and Technical Aerospace Reports by :

Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1987 with total page 952 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Behavior of Shells Composed of Isotropic and Composite Materials

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Publisher : Springer Science & Business Media
ISBN 13 : 9780792321132
Total Pages : 584 pages
Book Rating : 4.3/5 (211 download)

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Book Synopsis The Behavior of Shells Composed of Isotropic and Composite Materials by : Jack R. Vinson

Download or read book The Behavior of Shells Composed of Isotropic and Composite Materials written by Jack R. Vinson and published by Springer Science & Business Media. This book was released on 1992-01-31 with total page 584 pages. Available in PDF, EPUB and Kindle. Book excerpt: Shell structures are used in all phases of structures, from space vehicles to deep submergence hulls, from nuclear reactors to domes on sport arenas and civic buildings. With new materials and manufacturing methods, curved thin walled structures are being used increasingly. This text is a graduate course in the theory of shells. It covers shells of isotropic materials, such as metal alloys and plastics, and shells of composite materials, such as fibre reinforced polymer, metal or ceramic matrix materials. It provides the essential information for an understanding of the underlying theory, and solution of some of the basic problems. It also provides a basis to study the voluminous shell literature. Beyond being primarily a textbook, it is intended also for self study by practising engineers who would like to learn more about the behaviour of shells. The book has two parts: Part I deals with shells of isotropic materials. In this part the mathematical formulations are introduced involving curvilinear coordinates. The techniques of solutions and resulting behavior is compared to planar thin walled isotropic structures such as plates and beams. Part II then treats the behavior of shells, involving anisotropic composite materials, so widely used today. The analysis involves the complications due to the many elastic constants, effects of transverse shear deformation, thermal thickening and offer effects arising from the properties of composite materials.

Advances in the Theory of Plates and Shells

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Publisher : Elsevier
ISBN 13 : 1483290964
Total Pages : 324 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Advances in the Theory of Plates and Shells by : George Z. Voyiadjis

Download or read book Advances in the Theory of Plates and Shells written by George Z. Voyiadjis and published by Elsevier. This book was released on 2013-10-22 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: Plates and shells play an important role in structural, mechanical, aerospace and manufacturing applications. The theory of plates and shells have advanced in the past two decades to handle more complicated problems that were previously beyond reach. In this book, the most recent advances in this area of research are documented. These include topics such as thick plate and shell analyses, finite rotations of shell structures, anisotropic thick plates, dynamic analysis, and laminated composite panels. The book is divided into two parts. In Part I, emphasis is placed on the theoretical aspects of the analysis of plates and shells, while Part II deals with modern applications. Numerous eminent researchers in the various areas of plate and shell analyses have contributed to this work which pays special attention to aspects of research such as theory, dynamic analysis, and composite plates and shells.

On the Theory of Anisotropic Shallow Shells

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Publisher :
ISBN 13 :
Total Pages : 11 pages
Book Rating : 4.:/5 (7 download)

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Book Synopsis On the Theory of Anisotropic Shallow Shells by : Sergeĭ Aleksandrovich Ambart︠s︡umi︠a︡n

Download or read book On the Theory of Anisotropic Shallow Shells written by Sergeĭ Aleksandrovich Ambart︠s︡umi︠a︡n and published by . This book was released on 1956 with total page 11 pages. Available in PDF, EPUB and Kindle. Book excerpt: A numerical analysis of thin-walled shallow shells is presented. Equations of equilibrium and relations between deformations and stresses are included along with fundamental differential equations.

Elastostatics and Kinetics of Anisotropic and Heterogeneous Shell-Type Structures

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Publisher : Springer Science & Business Media
ISBN 13 : 9789028600355
Total Pages : 640 pages
Book Rating : 4.6/5 (3 download)

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Book Synopsis Elastostatics and Kinetics of Anisotropic and Heterogeneous Shell-Type Structures by : Liviu Librescu

Download or read book Elastostatics and Kinetics of Anisotropic and Heterogeneous Shell-Type Structures written by Liviu Librescu and published by Springer Science & Business Media. This book was released on 1975-11-30 with total page 640 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Recent Developments in the Theory of Shells

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Publisher : Springer Nature
ISBN 13 : 3030177475
Total Pages : 798 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Recent Developments in the Theory of Shells by : Holm Altenbach

Download or read book Recent Developments in the Theory of Shells written by Holm Altenbach and published by Springer Nature. This book was released on 2019-09-25 with total page 798 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book commemorates the 80th birthday of Prof. W. Pietraszkiewicz, a prominent specialist in the field of general shell theory. Reflecting Prof. Pietraszkiewicz’s focus, the respective papers address a range of current problems in the theory of shells. In addition, they present other structural mechanics problems involving dimension-reduced models. Lastly, several applications are discussed, including material models for such dimension-reduced structures.