The Isogeometric Boundary Element Method, Beer Gernot, Marussig Benjamin, Duenser Christian
Автор: Gernot Beer; Benjamin Marussig; Christian Duenser Название: The Isogeometric Boundary Element Method ISBN: 3030233383 ISBN-13(EAN): 9783030233389 Издательство: Springer Рейтинг: Цена: 11878.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book discusses the introduction of isogeometric technology to the boundary element method (BEM) in order to establish an improved link between simulation and computer aided design (CAD) that does not require mesh generation. In the isogeometric BEM, non-uniform rational B-splines replace the Lagrange polynomials used in conventional BEM. This may seem a trivial exercise, but if implemented rigorously, it has profound implications for the programming, resulting in software that is extremely user friendly and efficient. The BEM is ideally suited for linking with CAD, as both rely on the definition of objects by boundary representation. The book shows how the isogeometric philosophy can be implemented and how its benefits can be maximised with a minimum of user effort. Using several examples, ranging from potential problems to elasticity, it demonstrates that the isogeometric approach results in a drastic reduction in the number of unknowns and an increase in the quality of the results. In some cases even exact solutions without refinement are possible. The book also presents a number of practical applications, demonstrating that the development is not only of academic interest. It then elegantly addresses heterogeneous and non-linear problems using isogeometric concepts, and tests them on several examples, including a severely non-linear problem in viscous flow. The book makes a significant contribution towards a seamless integration of CAD and simulation, which eliminates the need for tedious mesh generation and provides high-quality results with minimum user intervention and computing.
Автор: Manni Название: Geometric Challenges in Isogeometric Analysis ISBN: 3030923126 ISBN-13(EAN): 9783030923129 Издательство: Springer Рейтинг: Цена: 22359.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: 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.
Автор: Buntara S. Gan Название: An Isogeometric Approach to Beam Structures ISBN: 3319859269 ISBN-13(EAN): 9783319859262 Издательство: Springer Рейтинг: Цена: 19564.00 р. Наличие на складе: Поставка под заказ.
Описание: This book proposes a novel, original condensation method to beam formulation based on the isogeometric approach to reducing the degrees of freedom to conventional two-node beam elements. In this volume, the author defines the Buntara Condensation Formulation: a unique formulation in condensing the dynamic equilibrium equation for beam structures, suitable for reducing the number of unlimited dynamic equations necessary to yield a classic two-node beam element. Professor Buntara’s method overcomes the problem of the isogeometric approach where the number of degrees of freedom is increased along with the complexity of the geometrical beam element and facilitates implementation of the codes into the existing beam structures programs, and CAD geometrical data into the conventional FE beam element codes. The book proposes a new reduction method where the beam element can be treated as under the conventional beam element theory that has only two nodes at both ends.
Автор: Christopher G. Provatidis Название: Precursors of Isogeometric Analysis ISBN: 3030038882 ISBN-13(EAN): 9783030038885 Издательство: Springer Рейтинг: Цена: 23757.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
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.
Автор: Buntara S. Gan Название: An Isogeometric Approach to Beam Structures ISBN: 3319564927 ISBN-13(EAN): 9783319564920 Издательство: Springer Рейтинг: Цена: 19564.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book proposes a novel, original condensation method to beam formulation based on the isogeometric approach to reducing the degrees of freedom to conventional two-node beam elements.
Описание: 1 Introduction 11.1 Topology optimization (Top-opt) 11.2 IsoGeometric Analysis (IGA) 31.3 Isogeometric Topology Optimization (ITO) 51.3.1 Density-based ITO methods 51.3.2 Level-set-based ITO methods 91.3.3 MMC/Vs-based ITO methods 111.4 Applications of topology optimization 121.4.1 Multi-material structures 121.4.2 Stress-related designs 141.4.3 Piezoelectric structures 161.4.4 Architected materials 181.4.5 Auxetic meta-materials/composites 201.5 Implementations of topology optimization 211.6 The main focus of the current monograph 222 The Density-based ITO method 252.1 NURBS-based IGA for numerical analysis model 252.1.1 NURBS basis functions 252.1.2 Galerkin's Formulation for elastostatics 272.2 Density Distribution Function (DDF) for topology description model 282.2.1 NURBS for structural geometry 282.2.2 Density Distribution Function ( 302.2.3 Material interpolation model 332.3 The ITO formulations for two problems 342.3.1 ITO formulation for the stiffness-maximization 342.3.2 ITO formulation for compliant mechanism design 352.4 Numerical implementations 362.5 Numerical examples 372.5.1 Several numerical examples in 2D 382.5.2 Several numerical examples in 3D 442.5.3 Discussions on the smoothing mechanism 472.6 Discussions on the indispensability of the ITO method 48II2.6.1 Problems in the classic SIMP method ........................................................................................................................................ 482.6.2 The extension of the DDF ............................................................................................................................................................................ 512.6.3 Comparisons between the ITO and the FEM-based three-field SIMP...................................... 522.6.4 Numerical examples .............................................................................................................................................................................................. 532.7 Appendix for sensitivity analysis .................................................................................................................................................................... 622.8 Summary .............................................................................................................................................................................................................................................. 643 The Multi-material ITO (M-ITO) method ............................................................................................................................................................ 663.1 NURBS-based Multi-Material Interpolation (N-MMI) ................................................................................................ 663.1.1 The Field of Design Variables (DVF) ........................................................................................................................................ 663.1.2 The Field of Topology Variables (TVF) .................................................................................................................................. 663.1.3 Multi-material interpolation model .............................................................................................................................................. 673.2 Multi-material Isogeometric Topology Optimization (M-ITO) ........................................................................ 693.3 Design se
Автор: Theodore Hromadka; Robert Whitley Название: Foundations of the Complex Variable Boundary Element Method ISBN: 331905953X ISBN-13(EAN): 9783319059532 Издательство: Springer Рейтинг: Цена: 8489.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book explains and examines the theoretical underpinnings of the Complex Variable Boundary Element Method (CVBEM) as applied to higher dimensions, providing the reader with the tools for extending and using the CVBEM in various applications.
Автор: Abbas Elzein Название: Plate Stability by Boundary Element Method ISBN: 3540537104 ISBN-13(EAN): 9783540537106 Издательство: Springer Рейтинг: Цена: 18167.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This text serves both as an introduction to the subject of the boundary element method and as a survey and exploration of current techniques in the field. Following an examination of the basic principles of the method, the book describes plate stability theory and its applications.
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