Fragments Of The Theory Of Anisotropic Shells
Fragments Of The Theory Of Anisotropic Shells

Author: S A Ambartsumian

Publisher: World Scientific

Published: 1990-12-13

Total Pages: 229

ISBN-13: 9814507202

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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

Asymptotic Theory Of Anisotropic Plates And Shells
Asymptotic Theory Of Anisotropic Plates And Shells

Author: Lenser A Aghalovyan

Publisher: World Scientific

Published: 2015-03-03

Total Pages: 377

ISBN-13: 9814579041

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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.

The Behavior of Shells Composed of Isotropic and Composite Materials
The Behavior of Shells Composed of Isotropic and Composite Materials

Author: Jack R. Vinson

Publisher: Springer Science & Business Media

Published: 1992-01-31

Total Pages: 584

ISBN-13: 9780792321132

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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.

Recent Developments in Anisotropic Heterogeneous Shell Theory
Recent Developments in Anisotropic Heterogeneous Shell Theory

Author: Alexander Ya. Grigorenko

Publisher: Springer

Published: 2015-12-30

Total Pages: 129

ISBN-13: 981100353X

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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.

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

Author: Francesco Tornabene

Publisher: Società Editrice Esculapio

Published: 2023-10-13

Total Pages: 1073

ISBN-13:

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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.

Theoretical Thermotics
Theoretical Thermotics

Author: Ji-Ping Huang

Publisher: Springer Nature

Published: 2019-12-31

Total Pages: 260

ISBN-13: 9811523010

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This book focuses on theoretical thermotics, the theory of transformation thermotics and its extended theories for the active control of macroscopic thermal phenomena of artificial systems, which is in sharp contrast to classical thermodynamics comprising the four thermodynamic laws for the passive description of macroscopic thermal phenomena of natural systems. The book covers the basic concepts and mathematical methods, which are necessary to understand thermal problems extensively investigated in physics, but also in other disciplines of engineering and materials. The analyses rely on models solved by analytical techniques accompanied with computer simulations and laboratory experiments. This book serves both as a reference work for senior researchers and a study text for zero beginners.