Finite Element Analysis Of Structures Through Unified Formulation

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Finite Element Analysis Of Structures Through Unified Formulation
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Author : Erasmo Carrera
language : en
Publisher: John Wiley & Sons
Release Date : 2014-07-29
Finite Element Analysis Of Structures Through Unified Formulation written by Erasmo Carrera and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-29 with Mathematics categories.
The finite element method (FEM) is a computational tool widely used to design and analyse complex structures. Currently, there are a number of different approaches to analysis using the FEM that vary according to the type of structure being analysed: beams and plates may use 1D or 2D approaches, shells and solids 2D or 3D approaches, and methods that work for one structure are typically not optimized to work for another. Finite Element Analysis of Structures Through Unified Formulation deals with the FEM used for the analysis of the mechanics of structures in the case of linear elasticity. The novelty of this book is that the finite elements (FEs) are formulated on the basis of a class of theories of structures known as the Carrera Unified Formulation (CUF). It formulates 1D, 2D and 3D FEs on the basis of the same 'fundamental nucleus' that comes from geometrical relations and Hooke's law, and presents both 1D and 2D refined FEs that only have displacement variables as in 3D elements. It also covers 1D and 2D FEs that make use of 'real' physical surfaces rather than ’artificial’ mathematical surfaces which are difficult to interface in CAD/CAE software. Key features: Covers how the refined formulation can be easily and conveniently used to analyse laminated structures, such as sandwich and composite structures, and to deal with multifield problems Shows the performance of different FE models through the 'best theory diagram' which allows different models to be compared in terms of accuracy and computational cost Introduces an axiomatic/asymptotic approach that reduces the computational cost of the structural analysis without affecting the accuracy Introduces an innovative 'component-wise' approach to deal with complex structures Accompanied by a website hosting the dedicated software package MUL2 (www.mul2.com) Finite Element Analysis of Structures Through Unified Formulation is a valuable reference for researchers and practitioners, and is also a useful source of information for graduate students in civil, mechanical and aerospace engineering.
Analysis And Modelling Of Advanced Structures And Smart Systems
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Author : Holm Altenbach
language : en
Publisher: Springer
Release Date : 2017-11-27
Analysis And Modelling Of Advanced Structures And Smart Systems written by Holm Altenbach and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-27 with Science categories.
This book presents selected papers presented at the 8th International Conference "Design, Modeling and Experiments of Advanced Structures and Systems" (DeMEASS VIII, held in Moscow, Russia in May 2017) and reflects the modern state of sciences in this field. The contributions contain topics like Piezoelectric, Ferroelectric, Ferroelastic and Magnetostrictive Materials, Shape Memory Alloys and Active Polymers, Functionally Graded Materials, Multi-Functional Smart Materials and Structures, Coupled Multi-Field Problems, Design and Modeling of Sensors and Actuators, Adaptive Structures.
Textile Composites And Inflatable Structures
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Author : Eugenio Oñate
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-03-30
Textile Composites And Inflatable Structures written by Eugenio Oñate 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 2006-03-30 with Technology & Engineering categories.
This book collects state-of-the-art research and technology for design, analysis, construction and maintenance of textile and inflatable structures. Textile composites and inflatable structures have become increasingly popular for a variety of applications in OCo among many other fieldsaOCo civil engineering, architecture and aerospace engineering. Typical examples include membrane roofs and covers, sails, inflatable buildings and pavilions, airships, inflatable furniture, airspace structures etc. The book contains 18 invited contributions written by distinguished authors who participated in the International Conference on Textile Composites and Inflated Structures held in Barcelona from June 30th to July 2nd, 2003. The meeting was one of the Thematic Conferences of the European Community on Computational Methods in Applied Sciences (ECCOMAS). The different chapters discuss recent progress and future research directions in membrane and inflatable structures built with new textile composite materials. Approximately half of the book focuses on describing innovative numerical methods for structural analysis of such structures, such as new nonlinear membrane and shell finite elements. The rest of the chapters present advances in design, construction and maintenance procedures."
The Finite Element Analysis Of Shells Fundamentals
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Author : Dominique Chapelle
language : en
Publisher: Springer Science & Business Media
Release Date : 2003
The Finite Element Analysis Of Shells Fundamentals written by Dominique Chapelle 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 2003 with Mathematics categories.
Shell structures are found abundantly in engineering designs and are routinely analyzed with finite element methods. The objective of this book is to present, in a unified manner, modern finite element procedures for general shell analysis. The first chapters introduce the basic concepts for the analysis of shells, explain the mathematical preliminaries, and discuss the mathematical models of plates and shells including their asymptotic properties. The following chapters deal with finite element discretization methods for plates and shells. At the end of the book, applications of these methods in modern engineering practice are described and an overview of nonlinear shell analysis is given.
Nonlinear Continuum Mechanics For Finite Element Analysis
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Author : Javier Bonet
language : en
Publisher: Cambridge University Press
Release Date : 1997-09-28
Nonlinear Continuum Mechanics For Finite Element Analysis written by Javier Bonet and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-09-28 with Mathematics categories.
A unified treatment of nonlinear continuum analysis and finite element techniques.
The Finite Element Method Theory Implementation And Applications
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Author : Mats G. Larson
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-01-13
The Finite Element Method Theory Implementation And Applications written by Mats G. Larson 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 2013-01-13 with Computers categories.
This book gives an introduction to the finite element method as a general computational method for solving partial differential equations approximately. Our approach is mathematical in nature with a strong focus on the underlying mathematical principles, such as approximation properties of piecewise polynomial spaces, and variational formulations of partial differential equations, but with a minimum level of advanced mathematical machinery from functional analysis and partial differential equations. In principle, the material should be accessible to students with only knowledge of calculus of several variables, basic partial differential equations, and linear algebra, as the necessary concepts from more advanced analysis are introduced when needed. Throughout the text we emphasize implementation of the involved algorithms, and have therefore mixed mathematical theory with concrete computer code using the numerical software MATLAB is and its PDE-Toolbox. We have also had the ambition to cover some of the most important applications of finite elements and the basic finite element methods developed for those applications, including diffusion and transport phenomena, solid and fluid mechanics, and also electromagnetics.
Automated Solution Of Differential Equations By The Finite Element Method
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Author : Anders Logg
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-02-24
Automated Solution Of Differential Equations By The Finite Element Method written by Anders Logg 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 2012-02-24 with Computers categories.
This book is a tutorial written by researchers and developers behind the FEniCS Project and explores an advanced, expressive approach to the development of mathematical software. The presentation spans mathematical background, software design and the use of FEniCS in applications. Theoretical aspects are complemented with computer code which is available as free/open source software. The book begins with a special introductory tutorial for beginners. Following are chapters in Part I addressing fundamental aspects of the approach to automating the creation of finite element solvers. Chapters in Part II address the design and implementation of the FEnicS software. Chapters in Part III present the application of FEniCS to a wide range of applications, including fluid flow, solid mechanics, electromagnetics and geophysics.
Dynamics And Control Of Advanced Structures And Machines
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Author : Hans Irschik
language : en
Publisher: Springer Nature
Release Date : 2021-09-20
Dynamics And Control Of Advanced Structures And Machines written by Hans Irschik and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-09-20 with Technology & Engineering categories.
This book presents selected contributions to the 4th International Workshop on Advanced Dynamics and Model Based Control of Structures and Machines. The workshop, which was held in Linz, Austria in September 2019, continued a series of international workshops — the Japan-Austria Joint Workshop on Mechanics and Model Based Control of Smart Materials and Structures, the Russia-Austria Joint Workshop on Advanced Dynamics and Model Based Control of Structures and Machines, and the first three editions of the International Workshop on Advanced Dynamics and Model Based Control of Structures and Machines. The chapters cover a broad spectrum of topics in the field of Advanced Structures and Machines both with respect to theoretical aspects as well as applications to contemporary engineering problems.
Iccs19 19th International Conference On Composite Structures
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Author : Antonio J.M. Ferreira
language : en
Publisher: Società Editrice Esculapio
Release Date : 2016-08-01
Iccs19 19th International Conference On Composite Structures written by Antonio J.M. Ferreira 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 2016-08-01 with Technology & Engineering categories.
Nowadays, it is quite easy to see various applications of fibrous composites, functionally graded materials, laminated composite, nano-structured reinforcement, morphing composites, in many engineering fields, such as aerospace, mechanical, naval and civil engineering. The increase in the use of composite structures in different engineering practices justify the present international meeting where researches from every part of the globe can share and discuss the recent advancements regarding the use of standard structural components within advanced applications such as buckling, vibrations, repair, reinforcements, concrete, composite laminated materials and more recent metamaterials. For this reason, the establishment of this 19th edition of International Conference on Composite Structures has appeared appropriate to continue what has been begun during the previous editions. ICCS wants to be an occasion for many researchers from each part of the globe to meet and discuss about the recent advancements regarding the use of composite structures, sandwich panels, nanotechnology, bio-composites, delamination and fracture, experimental methods, manufacturing and other countless topics that have filled many sessions during this conference. As a proof of this event, which has taken place in Porto (Portugal), selected plenary and keynote lectures have been collected in the present book.
The Scaled Boundary Finite Element Method
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Author : John P. Wolf
language : en
Publisher: John Wiley & Sons
Release Date : 2003-03-14
The Scaled Boundary Finite Element Method written by John P. Wolf and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-03-14 with Technology & Engineering categories.
A novel computational procedure called the scaled boundary finite-element method is described which combines the advantages of the finite-element and boundary-element methods : Of the finite-element method that no fundamental solution is required and thus expanding the scope of application, for instance to anisotropic material without an increase in complexity and that singular integrals are avoided and that symmetry of the results is automatically satisfied. Of the boundary-element method that the spatial dimension is reduced by one as only the boundary is discretized with surface finite elements, reducing the data preparation and computational efforts, that the boundary conditions at infinity are satisfied exactly and that no approximation other than that of the surface finite elements on the boundary is introduced. In addition, the scaled boundary finite-element method presents appealing features of its own : an analytical solution inside the domain is achieved, permitting for instance accurate stress intensity factors to be determined directly and no spatial discretization of certain free and fixed boundaries and interfaces between different materials is required. In addition, the scaled boundary finite-element method combines the advantages of the analytical and numerical approaches. In the directions parallel to the boundary, where the behaviour is, in general, smooth, the weighted-residual approximation of finite elements applies, leading to convergence in the finite-element sense. In the third (radial) direction, the procedure is analytical, permitting e.g. stress-intensity factors to be determined directly based on their definition or the boundary conditions at infinity to be satisfied exactly. In a nutshell, the scaled boundary finite-element method is a semi-analytical fundamental-solution-less boundary-element method based on finite elements. The best of both worlds is achieved in two ways: with respect to the analytical and numerical methods and with respect to the finite-element and boundary-element methods within the numerical procedures. The book serves two goals: Part I is an elementary text, without any prerequisites, a primer, but which using a simple model problem still covers all aspects of the method and Part II presents a detailed derivation of the general case of statics, elastodynamics and diffusion.