smoothed finite element methods

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Smoothed Finite Element Methods

Author : G.R. Liu
ISBN : 1439820279
Genre : Science
File Size : 43. 65 MB
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Generating a quality finite element mesh is difficult and often very time-consuming. Mesh-free methods operations can also be complicated and quite costly in terms of computational effort and resources. Developed by the authors and their colleagues, the smoothed finite element method (S-FEM) only requires a triangular/tetrahedral mesh to achieve more accurate results, a generally higher convergence rate in energy without increasing computational cost, and easier auto-meshing of the problem domain. Drawing on the authors’ extensive research results, Smoothed Finite Element Methods presents the theoretical framework and development of various S-FEM models. After introducing background material, basic equations, and an abstracted version of the FEM, the book discusses the overall modeling procedure, fundamental theories, error assessment matters, and necessary building blocks to construct useful S-FEM models. It then focuses on several specific S-FEM models, including cell-based (CS-FEM), node-based (NS-FEM), edge-based (ES-FEM), face-based (FS-FEM), and a combination of FEM and NS-FEM (αFEM). These models are then applied to a wide range of physical problems in solid mechanics, fracture mechanics, viscoelastoplasticity, plates, piezoelectric structures, heat transfer, and structural acoustics. Requiring no previous knowledge of FEM, this book shows how computational methods and numerical techniques like the S-FEM help in the design and analysis of advanced engineering systems in rapid and cost-effective ways since the modeling and simulation can be performed automatically in a virtual environment without physically building the system. Readers can easily apply the methods presented in the text to their own engineering problems for reliable and certified solutions.

Towards Straightforward Use Of Cell Based Smoothed Finite Element Method In Fluid Structure Interaction

Author :
ISBN : OCLC:1051901493
Genre :
File Size : 31. 83 MB
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Abstract: This paper presents a straightforward implementation of cell-based smoothed finite element method (CS-FEM) into fluid-structure interaction from the arbitrary Lagriangian-Eulerian perspective. Identical to the practice in solid mechanics, CS-FEM is directly applied to viscous stress and pressure Poisson equation in fluid problem. Minimum programming efforts are thus required to modify existing in-house codes. Following an efficient grid moving strategy, partitioned implicit coupling scheme based upon fixed-point iterations is adopted to interconnect individual fields. The proposed approach is validated against previously published data for several benchmarks. Visible improvements are exposed in predicted results along with flow-induced phenomena. Highlights: The cell-based smoothed finite element method is applied to both fluid and solid equations. The partially smoothed characteristic-based split scheme is developed to solve the NS equations. FSI examples are investigated to disclose superior performance of the present methodology.

Smoothed Finite Element Methods For Nonlinear Solid Mechanics Problems 2d And 3d Case Studies

Author : Manfred Staat
ISBN : OCLC:1083908241
Genre :
File Size : 38. 82 MB
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Hybrid Smoothed Finite Element Method For Two Dimensional Underwater Acoustic Scattering Problems

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ISBN : OCLC:1051967984
Genre :
File Size : 61. 68 MB
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A Face Based Smoothed Finite Element Method For Hyperelastic Models And Tissue Growth

Author : Minh Tuan Duong
ISBN : OCLC:1083908044
Genre :
File Size : 57. 22 MB
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Smoothed Point Interpolation Methods

Author : Gui-Rong Liu
ISBN : 9789814452854
Genre : Mathematics
File Size : 83. 91 MB
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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.

Proceedings Of The International Conference On Advances In Computational Mechanics 2017

Author : Hung Nguyen-Xuan
ISBN : 9789811071492
Genre : Technology & Engineering
File Size : 85. 34 MB
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This book provides an overview of state-of-the-art methods in computational engineering for modeling and simulation. This proceedings volume includes a selection of refereed papers presented at the International Conference on Advances in Computational Mechanics (ACOME) 2017, which took place on Phu Quoc Island, Vietnam on August 2-4, 2017. The contributions highlight recent advances in and innovative applications of computational mechanics. Subjects covered include: biological systems; damage, fracture and failure; flow problems; multiscale multiphysics problems; composites and hybrid structures; optimization and inverse problems; lightweight structures; computational mechatronics; computational dynamics; numerical methods; and high-performance computing. The book is intended for academics, including graduate students and experienced researchers interested in state-of-the-art computational methods for solving challenging problems in engineering.

The Finite Element Method

Author : G.R. Liu
ISBN : 9780080994413
Genre : Technology & Engineering
File Size : 47. 59 MB
Format : PDF
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Written for practicing engineers and students alike, this book emphasizes the role of finite element modeling and simulation in the engineering design process. It provides the necessary theories and techniques of the FEM in a concise and easy-to-understand format and applies the techniques to civil, mechanical, and aerospace problems. Updated throughout for current developments in FEM and FEM software, the book also includes case studies, diagrams, illustrations, and tables to help demonstrate the material. Plentiful diagrams, illustrations and tables demonstrate the material Covers modeling techniques that predict how components will operate and tolerate loads, stresses and strains in reality Full set of PowerPoint presentation slides that illustrate and support the book, available on a companion website

Meshfree Methods

Author : G.R. Liu
ISBN : 1420082108
Genre : Science
File Size : 83. 20 MB
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Understand How to Use and Develop Meshfree Techniques An Update of a Groundbreaking Work Reflecting the significant advances made in the field since the publication of its predecessor, Meshfree Methods: Moving Beyond the Finite Element Method, Second Edition systematically covers the most widely used meshfree methods. With 70% new material, this edition addresses important new developments, especially on essential theoretical issues. New to the Second Edition Much more details on fundamental concepts and important theories for numerical methods Discussions on special properties of meshfree methods, including stability, convergence, accurate, efficiency, and bound property More detailed discussion on error estimation and adaptive analysis using meshfree methods Developments on combined meshfree/finite element method (FEM) models Comparison studies using meshfree and FEM Drawing on the author’s own research, this book provides a single-source guide to meshfree techniques and theories that can effectively handle a variety of complex engineering problems. It analyzes how the methods work, explains how to use and develop the methods, and explores the problems associated with meshfree methods. To access MFree2D (copyright, G. R. Liu), which accompanies MESHFREE METHODS: MOVING BEYOND THE FINITE ELEMENT METHOD, Second Edition (978-1-4200-8209-8) by Dr. G. R. Liu, please go to the website: www.ase.uc.edu/~liugr An access code is needed to use program – to receive it please email Dr. Liu directly at: liugr@ucmail.uc.edu Dr. Liu will reply to you directly with the code, and you can then proceed to use the software.

High Performance Computing And Applications

Author : Wu Zhang
ISBN : 9783642118418
Genre : Computers
File Size : 47. 80 MB
Format : PDF, Kindle
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This book constitutes the thoroughly refereed post-conference proceedings of the Second International Conference on High Performance Computing and Applications, HPCA 2009, held in Shangahi, China, in August 2009. The 71 revised papers presented together with 10 invited presentations were carefully selected from 324 submissions. The papers cover topics such as numerical algorithms and solutions; high performance and grid computing; novel approaches to high performance computing; massive data storage and processsing; and hardware acceleration.

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