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

Author : Francesco Tornabene
Publisher : Esculapio
Page : 0 pages
File Size : 42,5 Mb
Release : 2023
Category : Technology & Engineering
ISBN : 8893854066

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Hygro-Thermo-Magneto-Electro-Elastic Theory of Anisotropic Doubly-Curved Shells by Francesco Tornabene Pdf

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

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

Author : Francesco Tornabene
Publisher : Società Editrice Esculapio
Page : 1073 pages
File Size : 41,8 Mb
Release : 2023-10-13
Category : Technology & Engineering
ISBN : 9791222459431

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Hygro-Thermo-Magneto-Electro-Elastic Theory of Anisotropic Doubly-Curved Shells by Francesco Tornabene Pdf

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.

Generalized Differential and Integral Quadrature

Author : Francesco Tornabene
Publisher : Società Editrice Esculapio
Page : 689 pages
File Size : 46,7 Mb
Release : 2023-10-17
Category : Technology & Engineering
ISBN : 9791222460543

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Generalized Differential and Integral Quadrature by Francesco Tornabene Pdf

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.

Vibration of Shells

Author : Arthur W. Leissa
Publisher : Unknown
Page : 438 pages
File Size : 47,5 Mb
Release : 1973
Category : Government publications
ISBN : UIUC:30112002809462

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Vibration of Shells by Arthur W. Leissa Pdf

The vibrational characteristics and mechanical properties of shell structures are discussed. The subjects presented are: (1) fundamental equations of thin shell theory, (2) characteristics of thin circular cylindrical shells, (3) complicating effects in circular cylindrical shells, (4) noncircular cylindrical shell properties, (5) characteristics of spherical shells, and (6) solution of three-dimensional equations of motion for cylinders.

Vibrations of Shells and Plates

Author : Werner Soedel
Publisher : CRC Press
Page : 594 pages
File Size : 51,9 Mb
Release : 2004-08-11
Category : Mathematics
ISBN : 9780203026304

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Vibrations of Shells and Plates by Werner Soedel Pdf

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

Applied Mechanics Reviews

Author : Anonim
Publisher : Unknown
Page : 384 pages
File Size : 46,5 Mb
Release : 1988
Category : Mechanics, Applied
ISBN : OSU:32435026160754

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Applied Mechanics Reviews by Anonim Pdf

International Aerospace Abstracts

Author : Anonim
Publisher : Unknown
Page : 974 pages
File Size : 51,6 Mb
Release : 1999
Category : Aeronautics
ISBN : STANFORD:36105021811372

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International Aerospace Abstracts by Anonim Pdf

Physics of Surfaces and Interfaces

Author : Harald Ibach
Publisher : Springer Science & Business Media
Page : 646 pages
File Size : 55,9 Mb
Release : 2006-11-18
Category : Science
ISBN : 9783540347101

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Physics of Surfaces and Interfaces by Harald Ibach Pdf

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.

Computational Fluid and Solid Mechanics 2003

Author : K.J Bathe
Publisher : Elsevier
Page : 2524 pages
File Size : 51,5 Mb
Release : 2003-06-02
Category : Science
ISBN : 008052947X

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Computational Fluid and Solid Mechanics 2003 by K.J Bathe Pdf

Bringing together the world's leading researchers and practitioners of computational mechanics, these new volumes meet and build on the eight key challenges for research and development in computational mechanics. Researchers have recently identified eight critical research tasks facing the field of computational mechanics. These tasks have come about because it appears possible to reach a new level of mathematical modelling and numerical solution that will lead to a much deeper understanding of nature and to great improvements in engineering design. The eight tasks are: The automatic solution of mathematical models Effective numerical schemes for fluid flows The development of an effective mesh-free numerical solution method The development of numerical procedures for multiphysics problems The development of numerical procedures for multiscale problems The modelling of uncertainties The analysis of complete life cycles of systems Education - teaching sound engineering and scientific judgement Readers of Computational Fluid and Solid Mechanics 2003 will be able to apply the combined experience of many of the world's leading researchers to their own research needs. Those in academic environments will gain a better insight into the needs and constraints of the industries they are involved with; those in industry will gain a competitive advantage by gaining insight into the cutting edge research being carried out by colleagues in academia. Features Bridges the gap between academic researchers and practitioners in industry Outlines the eight main challenges facing Research and Design in Computational mechanics and offers new insights into the shifting the research agenda Provides a vision of how strong, basic and exciting education at university can be harmonized with life-long learning to obtain maximum value from the new powerful tools of analysis

Uncertainty Quantification in Laminated Composites

Author : Sudip Dey,Tanmoy Mukhopadhyay,Sondipon Adhikari
Publisher : CRC Press
Page : 375 pages
File Size : 46,9 Mb
Release : 2018-09-19
Category : Mathematics
ISBN : 9781498784467

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Uncertainty Quantification in Laminated Composites by Sudip Dey,Tanmoy Mukhopadhyay,Sondipon Adhikari Pdf

Over the last few decades, uncertainty quantification in composite materials and structures has gained a lot of attention from the research community as a result of industrial requirements. This book presents computationally efficient uncertainty quantification schemes following meta-model-based approaches for stochasticity in material and geometric parameters of laminated composite structures. Several metamodels have been studied and comparative results have been presented for different static and dynamic responses. Results for sensitivity analyses are provided for a comprehensive coverage of the relative importance of different material and geometric parameters in the global structural responses.

Anisotropic Doubly-Curved Shells

Author : Francesco Tornabene,Michele Bacciocchi
Publisher : Società Editrice Esculapio
Page : 1199 pages
File Size : 51,6 Mb
Release : 2019-11-01
Category : Technology & Engineering
ISBN : 9788835328995

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Anisotropic Doubly-Curved Shells by Francesco Tornabene,Michele Bacciocchi Pdf

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.

Extended Finite Element Method

Author : Amir R. Khoei
Publisher : John Wiley & Sons
Page : 600 pages
File Size : 51,9 Mb
Release : 2015-02-23
Category : Science
ISBN : 9781118457689

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Extended Finite Element Method by Amir R. Khoei Pdf

Introduces the theory and applications of the extended finite element method (XFEM) in the linear and nonlinear problems of continua, structures and geomechanics Explores the concept of partition of unity, various enrichment functions, and fundamentals of XFEM formulation. Covers numerous applications of XFEM including fracture mechanics, large deformation, plasticity, multiphase flow, hydraulic fracturing and contact problems Accompanied by a website hosting source code and examples

Mechanics of Composite Materials and Structures

Author : Carlos A. Mota Soares,Cristóvão M. Mota Soares,Manuel J.M. Freitas
Publisher : Springer Science & Business Media
Page : 524 pages
File Size : 46,6 Mb
Release : 2013-06-29
Category : Science
ISBN : 9789401144896

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Mechanics of Composite Materials and Structures by Carlos A. Mota Soares,Cristóvão M. Mota Soares,Manuel J.M. Freitas Pdf

A compact presentation of the foundations, current state of the art, recent developments and research directions of all essential techniques related to the mechanics of composite materials and structures. Special emphasis is placed on classic and recently developed theories of composite laminated beams, plates and shells, micromechanics, impact and damage analysis, mechanics of textile structural composites, high strain rate testing and non-destructive testing of composite materials and structures. Topics of growing importance are addressed, such as: numerical methods and optimisation, identification and damage monitoring. The latest results are presented on the art of modelling smart composites, optimal design with advanced materials, and industrial applications. Each section of the book is written by internationally recognised experts who have dedicated most of their research work to a particular field. Readership: Postgraduate students, researchers and engineers in the field of composites. Undergraduate students will benefit from the treatment of the foundations of the mechanics of composite materials and structures.

Theory of Elasticity of an Anisotropic Body

Author : Sergeĭ Georgievich Lekhnit͡skiĭ
Publisher : Unknown
Page : 440 pages
File Size : 44,9 Mb
Release : 1981
Category : Science
ISBN : UVA:X001356911

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Theory of Elasticity of an Anisotropic Body by Sergeĭ Georgievich Lekhnit͡skiĭ Pdf