Isogeometric Analysis

Author : J. Austin Cottrell,Thomas J. R Hughes,Yuri Bazilevs
Publisher : John Wiley & Sons
Page : 352 pages
File Size : 47,5 Mb
Release : 2009-08-11
Category : Technology & Engineering
ISBN : 9780470749098

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Isogeometric Analysis by J. Austin Cottrell,Thomas J. R Hughes,Yuri Bazilevs Pdf

“The authors are the originators of isogeometric analysis, are excellent scientists and good educators. It is very original. There is no other book on this topic.” —René de Borst, Eindhoven University of Technology Written by leading experts in the field and featuring fully integrated colour throughout, Isogeometric Analysis provides a groundbreaking solution for the integration of CAD and FEA technologies. Tom Hughes and his researchers, Austin Cottrell and Yuri Bazilevs, present their pioneering isogeometric approach, which aims to integrate the two techniques of CAD and FEA using precise NURBS geometry in the FEA application. This technology offers the potential to revolutionise automobile, ship and airplane design and analysis by allowing models to be designed, tested and adjusted in one integrative stage. Providing a systematic approach to the topic, the authors begin with a tutorial introducing the foundations of Isogeometric Analysis, before advancing to a comprehensive coverage of the most recent developments in the technique. The authors offer a clear explanation as to how to add isogeometric capabilities to existing finite element computer programs, demonstrating how to implement and use the technology. Detailed programming examples and datasets are included to impart a thorough knowledge and understanding of the material. Provides examples of different applications, showing the reader how to implement isogeometric models Addresses readers on both sides of the CAD/FEA divide Describes Non-Uniform Rational B-Splines (NURBS) basis functions

Author : Carla Manni,Hendrik Speleers
Publisher : Springer Nature
Page : 386 pages
File Size : 47,7 Mb
Release : 2022-08-08
Category : Mathematics
ISBN : 9783030923136

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Geometric Challenges in Isogeometric Analysis by Carla Manni,Hendrik Speleers Pdf

This book collects selected contributions presented at the INdAM Workshop "Geometric Challenges in Isogeometric Analysis", held in Rome, Italy on January 27-31, 2020. It gives an overview of the forefront research on splines and their efficient use in isogeometric methods for the discretization of differential problems over complex and trimmed geometries. A variety of research topics in this context are covered, including (i) high-quality spline surfaces on complex and trimmed geometries, (ii) construction and analysis of smooth spline spaces on unstructured meshes, (iii) numerical aspects and benchmarking of isogeometric discretizations on unstructured meshes, meshing strategies and software. Given its scope, the book will be of interest to both researchers and graduate students working in the areas of approximation theory, geometric design and numerical simulation. Chapter 10 is available open access under a Creative Commons Attribution 4.0 International License via link.springer.com.

Author : Harald van Brummelen,Cornelis Vuik,Matthias Möller,Clemens Verhoosel,Bernd Simeon,Bert Jüttler
Publisher : Springer Nature
Page : 279 pages
File Size : 41,9 Mb
Release : 2021-01-13
Category : Mathematics
ISBN : 9783030498368

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Isogeometric Analysis and Applications 2018 by Harald van Brummelen,Cornelis Vuik,Matthias Möller,Clemens Verhoosel,Bernd Simeon,Bert Jüttler Pdf

This proceedings volume gathers a selection of outstanding research papers presented at the third Conference on Isogeometric Analysis and Applications, held in Delft, The Netherlands, in April 2018. This conference series, previously held in Linz, Austria, in 2012 and Annweiler am Trifels, Germany, in 2014, has created an international forum for interaction between scientists and practitioners working in this rapidly developing field. Isogeometric analysis is a groundbreaking computational approach that aims to bridge the gap between numerical analysis and computational geometry modeling by integrating the finite element method and related numerical simulation techniques into the computer-aided design workflow, and vice versa. The methodology has matured over the last decade both in terms of our theoretical understanding, its mathematical foundation and the robustness and efficiency of its practical implementations. This development has enabled scientists and practitioners to tackle challenging new applications at the frontiers of research in science and engineering and attracted early adopters for this his novel computer-aided design and engineering technology in industry. The IGAA 2018 conference brought together experts on isogeometric analysis theory and application, share their insights into challenging industrial applications and to discuss the latest developments as well as the directions of future research and development that are required to make isogeometric analysis an established mainstream technology.

Author : Christopher G. Provatidis
Publisher : Springer
Page : 587 pages
File Size : 51,5 Mb
Release : 2019-01-01
Category : Science
ISBN : 9783030038892

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Precursors of Isogeometric Analysis by Christopher G. Provatidis Pdf

This self-contained book addresses the three most popular computational methods in CAE (finite elements, boundary elements, collocation methods) in a unified way, bridging the gap between CAD and CAE. It includes applications to a broad spectrum of engineering (benchmark) application problems, such as elasto-statics/dynamics and potential problems (thermal, acoustics, electrostatics). It also provides a large number of test cases, with full documentation of original sources, making it a valuable resource for any student or researcher in FEA-related areas. The book, which assumes readers have a basic knowledge of FEA, can be used as additional reading for engineering courses as well as for other interdepartmental MSc courses.

Author : Azher Jameel,Ghulam Ashraf Ul Harmain,Indra Vir Singh,Magd Abdel Wahab
Publisher : Elsevier
Page : 481 pages
File Size : 42,8 Mb
Release : 2024-05-09
Category : Computers
ISBN : 9780443153617

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Enriched Numerical Techniques by Azher Jameel,Ghulam Ashraf Ul Harmain,Indra Vir Singh,Magd Abdel Wahab Pdf

Enriched Numerical Techniques: Implementation and Applications explores recent advances in enriched numerical techniques, including the extended finite element method, meshfree methods, extended isogeometric analysis and coupled numerical techniques. Techniques for implementation and programming issues are discussed, with other sections discussing applications for enriched numerical techniques in solving a range of engineering problems. The level set methodologies for complex shaped irregularities is presented, as are enriched numerical methodologies for various complex and advanced problems such as Nonlinear Structural Analysis, Fracture and Fatigue in Structures, Elasto-Plastic Crack Growth, Large Deformation Analysis, Frictional Contact Problems, Thermo-Mechanical Problems, Fluid Flow Investigations, Composite Materials and Bio-mechanics. Features explanations on how to use enriched numerical techniques to model problems in bio-mechanics and fluid flow Includes worked examples that are used to explain methods throughout Provides practical advice on how to tackle programming issues

Author : Edwin R. Hancock,Ralph R. Martin,Malcolm A. Sabin
Publisher : Springer Science & Business Media
Page : 418 pages
File Size : 47,7 Mb
Release : 2009-08-06
Category : Computers
ISBN : 9783642035951

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Mathematics of Surfaces XIII by Edwin R. Hancock,Ralph R. Martin,Malcolm A. Sabin Pdf

This book constitutes the refereed proceedings of the 13th IMA International Conference on the Mathematics of Surfaces held in York, UK in September 2009. The papers in the present volume include seven invited papers, as well as 16 submitted papers. The topics covered include subdivision schemes and their continuity, polar patchworks, compressive algorithms for PDEs, surface invariant functions, swept volume parameterization, Willmore flow, computational conformal geometry, heat kernel embeddings, and self-organizing maps on manifolds, mesh and manifold construction, editing, flattening, morphing and interrogation, dissection of planar shapes, symmetry processing, morphable models, computation of isophotes, point membership classification and vertex blends. Surface types considered encompass polygon meshes as well as parametric and implicit surfaces.

Author : Bert Jüttler,Bernd Simeon
Publisher : Springer
Page : 290 pages
File Size : 52,8 Mb
Release : 2015-12-21
Category : Mathematics
ISBN : 9783319233154

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Isogeometric Analysis and Applications 2014 by Bert Jüttler,Bernd Simeon Pdf

Isogeometric Analysis is a groundbreaking computational approach that promises the possibility of integrating the finite element method into conventional spline-based CAD design tools. It thus bridges the gap between numerical analysis and geometry, and moreover it allows to tackle new cutting edge applications at the frontiers of research in science and engineering. This proceedings volume contains a selection of outstanding research papers presented at the second International Workshop on Isogeometric Analysis and Applications, held at Annweiler, Germany, in April 2014.

Author : Jean-Daniel Boissonnat,Albert Cohen,Olivier Gibaru,Christian Gout,Tom Lyche,Marie-Laurence Mazure,Larry L. Schumaker
Publisher : Springer
Page : 492 pages
File Size : 41,5 Mb
Release : 2015-08-13
Category : Computers
ISBN : 9783319228044

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Curves and Surfaces by Jean-Daniel Boissonnat,Albert Cohen,Olivier Gibaru,Christian Gout,Tom Lyche,Marie-Laurence Mazure,Larry L. Schumaker Pdf

This volume constitutes the thoroughly refereed post-conference proceedings of the 8th International Conference on Curves and Surfaces, held in Paris, France, in June 2014. The conference had the overall theme: "Representation and Approximation of Curves and Surfaces and Applications". The 32 revised full papers presented were carefully reviewed and selected from 39 submissions. The scope of the conference was on following topics: approximation theory, computer-aided geometric design, computer graphics and visualization, computational geometry and topology, geometry processing, image and signal processing, interpolation and smoothing, mesh generation, finite elements and splines, scattered data processing and learning theory, sparse and high-dimensional approximation, subdivision, wavelets and multi-resolution method.

Author : Angela Kunoth,Tom Lyche,Giancarlo Sangalli,Stefano Serra-Capizzano
Publisher : Springer
Page : 325 pages
File Size : 53,8 Mb
Release : 2018-09-20
Category : Mathematics
ISBN : 9783319949116

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Splines and PDEs: From Approximation Theory to Numerical Linear Algebra by Angela Kunoth,Tom Lyche,Giancarlo Sangalli,Stefano Serra-Capizzano Pdf

This book takes readers on a multi-perspective tour through state-of-the-art mathematical developments related to the numerical treatment of PDEs based on splines, and in particular isogeometric methods. A wide variety of research topics are covered, ranging from approximation theory to structured numerical linear algebra. More precisely, the book provides (i) a self-contained introduction to B-splines, with special focus on approximation and hierarchical refinement, (ii) a broad survey of numerical schemes for control problems based on B-splines and B-spline-type wavelets, (iii) an exhaustive description of methods for computing and analyzing the spectral distribution of discretization matrices, and (iv) a detailed overview of the mathematical and implementational aspects of isogeometric analysis. The text is the outcome of a C.I.M.E. summer school held in Cetraro (Italy), July 2017, featuring four prominent lecturers with different theoretical and application perspectives. The book may serve both as a reference and an entry point into further research.

Author : Timon Rabczuk,Jeong-Hoon Song,Xiaoying Zhuang,Cosmin Anitescu
Publisher : Academic Press
Page : 638 pages
File Size : 44,9 Mb
Release : 2019-11-13
Category : Technology & Engineering
ISBN : 9780128141076

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Extended Finite Element and Meshfree Methods by Timon Rabczuk,Jeong-Hoon Song,Xiaoying Zhuang,Cosmin Anitescu Pdf

Extended Finite Element and Meshfree Methods provides an overview of, and investigates, recent developments in extended finite elements with a focus on applications to material failure in statics and dynamics. This class of methods is ideally suited for applications, such as crack propagation, two-phase flow, fluid-structure-interaction, optimization and inverse analysis because they do not require any remeshing. These methods include the original extended finite element method, smoothed extended finite element method (XFEM), phantom node method, extended meshfree methods, numerical manifold method and extended isogeometric analysis. This book also addresses their implementation and provides small MATLAB codes on each sub-topic. Also discussed are the challenges and efficient algorithms for tracking the crack path which plays an important role for complex engineering applications. Explains all the important theory behind XFEM and meshfree methods Provides advice on how to implement XFEM for a range of practical purposes, along with helpful MATLAB codes Draws on the latest research to explore new topics, such as the applications of XFEM to shell formulations, and extended meshfree and extended isogeometric methods Introduces alternative modeling methods to help readers decide what is most appropriate for their work

Author : Biplab Das,Ripon Patgiri,Sivaji Bandyopadhyay,Valentina Emilia Balas,Sukanta Roy
Publisher : Springer Nature
Page : 601 pages
File Size : 50,5 Mb
Release : 2023
Category : Computer simulation
ISBN : 9789819968664

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Modeling, Simulation and Optimization by Biplab Das,Ripon Patgiri,Sivaji Bandyopadhyay,Valentina Emilia Balas,Sukanta Roy Pdf

This book includes selected peer-reviewed papers presented at the International Conference on Modeling, Simulation and Optimization (CoMSO 2022), organized by National Institute of Technology, Silchar, Assam, India, during December 2123, 2022. The book covers topics of modeling, simulation, and optimization, including computational modeling and simulation, system modeling and simulation, device/VLSI modeling and simulation, control theory and applications, and modeling and simulation of energy systems and optimization. The book disseminates various models of diverse systems and includes solutions of emerging challenges of diverse scientific fields.

Author : René de Borst,Mike A. Crisfield,Joris J. C. Remmers,Clemens V. Verhoosel
Publisher : John Wiley & Sons
Page : 481 pages
File Size : 45,9 Mb
Release : 2012-07-25
Category : Technology & Engineering
ISBN : 9781118376010

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Nonlinear Finite Element Analysis of Solids and Structures by René de Borst,Mike A. Crisfield,Joris J. C. Remmers,Clemens V. Verhoosel Pdf

Built upon the two original books by Mike Crisfield and their own lecture notes, renowned scientist René de Borst and his team offer a thoroughly updated yet condensed edition that retains and builds upon the excellent reputation and appeal amongst students and engineers alike for which Crisfield's first edition is acclaimed. Together with numerous additions and updates, the new authors have retained the core content of the original publication, while bringing an improved focus on new developments and ideas. This edition offers the latest insights in non-linear finite element technology, including non-linear solution strategies, computational plasticity, damage mechanics, time-dependent effects, hyperelasticity and large-strain elasto-plasticity. The authors' integrated and consistent style and unrivalled engineering approach assures this book's unique position within the computational mechanics literature. Key features: Combines the two previous volumes into one heavily revised text with obsolete material removed, an improved layout and updated references and notations Extensive new material on more recent developments in computational mechanics Easily readable, engineering oriented, with no more details in the main text than necessary to understand the concepts. Pseudo-code throughout makes the link between theory and algorithms, and the actual implementation. Accompanied by a website (www.wiley.com/go/deborst) with a Python code, based on the pseudo-code within the book and suitable for solving small-size problems. Non-linear Finite Element Analysis of Solids and Structures, 2nd Edition is an essential reference for practising engineers and researchers that can also be used as a text for undergraduate and graduate students within computational mechanics.

Author : Carlotta Giannelli,Hendrik Speleers
Publisher : Springer Nature
Page : 238 pages
File Size : 41,7 Mb
Release : 2019-09-18
Category : Mathematics
ISBN : 9783030273316

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Advanced Methods for Geometric Modeling and Numerical Simulation by Carlotta Giannelli,Hendrik Speleers Pdf

This book gathers selected contributions presented at the INdAM Workshop “DREAMS”, held in Rome, Italy on January 22−26, 2018. Addressing cutting-edge research topics and advances in computer aided geometric design and isogeometric analysis, it covers distinguishing curve/surface constructions and spline models, with a special focus on emerging adaptive spline constructions, fundamental spline theory and related algorithms, as well as various aspects of isogeometric methods, e.g. efficient quadrature rules and spectral analysis for isogeometric B-spline discretizations. Applications in finite element and boundary element methods are also discussed. Given its scope, the book will be of interest to both researchers and graduate students working in these areas.

Author : Bhatia Rajendra,Pal Arup,Rangarajan G
Publisher : World Scientific
Page : 4144 pages
File Size : 53,5 Mb
Release : 2011-06-06
Category : Mathematics
ISBN : 9789814462938

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Proceedings Of The International Congress Of Mathematicians 2010 (Icm 2010) (In 4 Volumes) - Vol. I: Plenary Lectures And Ceremonies, Vols. Ii-iv: Invited Lectures by Bhatia Rajendra,Pal Arup,Rangarajan G Pdf

ICM 2010 proceedings comprises a four-volume set containing articles based on plenary lectures and invited section lectures, the Abel and Noether lectures, as well as contributions based on lectures delivered by the recipients of the Fields Medal, the Nevanlinna, and Chern Prizes. The first volume will also contain the speeches at the opening and closing ceremonies and other highlights of the Congress.

Author : Anonim
Publisher : World Scientific
Page : 814 pages
File Size : 51,9 Mb
Release : 2011
Category : Electronic
ISBN : 9789814324359

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Proceedings of the International Congress of Mathematicians 2010 (icm 2010) (in 4 Volumes) - Vol. I: Plenary Lectures and Ceremonies, Vols. Ii-iv: Invited Lectures by Anonim Pdf