Hygro Thermo Magneto Electro Elastic Theory Of Anisotropic Doubly Curved Shells

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Hygro Thermo Magneto Electro Elastic Theory Of Anisotropic Doubly Curved Shells

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Author : Francesco Tornabene
language : en
Publisher: Esculapio
Release Date : 2023

Hygro Thermo Magneto Electro Elastic Theory Of Anisotropic Doubly Curved Shells written by Francesco Tornabene and has been published by Esculapio this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023 with Technology & Engineering categories.

Higher-Order Strong and Weak Formulations for Arbitrarily Shaped Shell Structures

Hygro Thermo Magneto Electro Elastic Theory Of Anisotropic Doubly Curved Shells

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Author : Francesco Tornabene
language : en
Publisher: Società Editrice Esculapio
Release Date : 2023-10-13

Hygro Thermo Magneto Electro Elastic Theory Of Anisotropic Doubly Curved Shells written by Francesco Tornabene and has been published by Società Editrice Esculapio this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-10-13 with Technology & Engineering categories.

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.

Proceedings Of The International Conference Of Steel And Composite For Engineering Structures

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Author : Brahim Benaissa
language : en
Publisher: Springer Nature
Release Date :

Proceedings Of The International Conference Of Steel And Composite For Engineering Structures written by Brahim Benaissa and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.

Generalized Differential And Integral Quadrature

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Author : Francesco Tornabene
language : en
Publisher: Società Editrice Esculapio
Release Date : 2023-10-17

Generalized Differential And Integral Quadrature written by Francesco Tornabene and has been published by Società Editrice Esculapio this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-10-17 with Technology & Engineering categories.

The main aim of this book is to analyze the mathematical fundamentals and the main features of the Generalized Differential Quadrature (GDQ) and Generalized Integral Quadrature (GIQ) techniques. Furthermore, another interesting aim of the present book is to shown that from the two numerical techniques mentioned above it is possible to derive two different approaches such as the Strong and Weak Finite Element Methods (SFEM and WFEM), that will be used to solve various structural problems and arbitrarily shaped structures. A general approach to the Differential Quadrature is proposed. The weighting coefficients for different basis functions and grid distributions are determined. Furthermore, the expressions of the principal approximating polynomials and grid distributions, available in the literature, are shown. Besides the classic orthogonal polynomials, a new class of basis functions, which depend on the radial distance between the discretization points, is presented. They are known as Radial Basis Functions (or RBFs). The general expressions for the derivative evaluation can be utilized in the local form to reduce the computational cost. From this concept the Local Generalized Differential Quadrature (LGDQ) method is derived. The Generalized Integral Quadrature (GIQ) technique can be used employing several basis functions, without any restriction on the point distributions for the given definition domain. To better underline these concepts some classical numerical integration schemes are reported, such as the trapezoidal rule or the Simpson method. An alternative approach based on Taylor series is also illustrated to approximate integrals. This technique is named as Generalized Taylor-based Integral Quadrature (GTIQ) method. The major structural theories for the analysis of the mechanical behavior of various structures are presented in depth in the book. In particular, the strong and weak formulations of the corresponding governing equations are discussed and illustrated. Generally speaking, two formulations of the same system of governing equations can be developed, which are respectively the strong and weak (or variational) formulations. Once the governing equations that rule a generic structural problem are obtained, together with the corresponding boundary conditions, a differential system is written. In particular, the Strong Formulation (SF) of the governing equations is obtained. The differentiability requirement, instead, is reduced through a weighted integral statement if the corresponding Weak Formulation (WF) of the governing equations is developed. Thus, an equivalent integral formulation is derived, starting directly from the previous one. In particular, the formulation in hand is obtained by introducing a Lagrangian approximation of the degrees of freedom of the problem. The need of studying arbitrarily shaped domains or characterized by mechanical and geometrical discontinuities leads to the development of new numerical approaches that divide the structure in finite elements. Then, the strong form or the weak form of the fundamental equations are solved inside each element. The fundamental aspects of this technique, which the author defined respectively Strong Formulation Finite Element Method (SFEM) and Weak Formulation Finite Element Method (WFEM), are presented in the book.

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

Anisotropic Doubly Curved Shells

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Author : Francesco Tornabene
language : en
Publisher: Società Editrice Esculapio
Release Date : 2019-11-01

Anisotropic Doubly Curved Shells written by Francesco Tornabene and has been published by Società Editrice Esculapio this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-11-01 with Technology & Engineering categories.

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.

Vibrations Of Shells And Plates

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Author : Werner Soedel
language : en
Publisher: CRC Press
Release Date : 2004-08-11

Vibrations Of Shells And Plates written by Werner Soedel and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-08-11 with Mathematics categories.

With increasingly sophisticated structures involved in modern engineering, knowledge of the complex vibration behavior of plates, shells, curved membranes, rings, and other complex structures is essential for today‘s engineering students, since the behavior is fundamentally different than that of simple structures such as rods and beams. Now in its

Physics Of Surfaces And Interfaces

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Author : Harald Ibach
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-11-18

Physics Of Surfaces And Interfaces written by Harald Ibach 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 2006-11-18 with Science categories.

This graduate-level textbook covers the major developments in surface sciences of recent decades, from experimental tricks and basic techniques to the latest experimental methods and theoretical understanding. It is unique in its attempt to treat the physics of surfaces, thin films and interfaces, surface chemistry, thermodynamics, statistical physics and the physics of the solid/electrolyte interface in an integral manner, rather than in separate compartments. It is designed as a handbook for the researcher as well as a study-text for graduate students. Written explanations are supported by 350 graphs and illustrations.

Mathematical Methods In Electro Magneto Elasticity

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Author : Demosthenis I. Bardzokas
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-05-19

Mathematical Methods In Electro Magneto Elasticity written by Demosthenis I. Bardzokas 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 2007-05-19 with Technology & Engineering categories.

The mechanics of Coupled Fields is a discipline at the edge of modern research connecting Continuum Mechanics with Solid State Physics. This book fills many gaps in the theoretical literature which arise due to the complexity of the problem. A vast number of problems are considered so that the reader can get a clear quantitative and qualitative understanding of the phenomena taking place.

Smoothed Point Interpolation Methods

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Author : Gui-Rong Liu
language : en
Publisher: World Scientific
Release Date : 2013

Smoothed Point Interpolation Methods written by Gui-Rong Liu and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with Mathematics categories.

This book describes the various Smoothed Point Interpolation Method (S-PIM) models in a systematic, concise and easy-to-understand manner. The underlying principles for the next generation of computational methods, G space theory, novel weakened weak (W2) formulations, techniques for shape functions, formulation procedures, and implementation strategies are presented in detail.