Finite Element Method Simulation Of 3d Deformable Solids
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Finite Element Method Simulation Of 3d Deformable Solids
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Author : Eftychios Sifakis
language : en
Publisher: Springer Nature
Release Date : 2022-06-01
Finite Element Method Simulation Of 3d Deformable Solids written by Eftychios Sifakis and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-06-01 with Mathematics categories.
This book serves as a practical guide to simulation of 3D deformable solids using the Finite Element Method (FEM). It reviews a number of topics related to the theory and implementation of FEM approaches: measures of deformation, constitutive laws of nonlinear materials, tetrahedral discretizations, and model reduction techniques for real-time simulation. Simulations of deformable solids are important in many applications in computer graphics, including film special effects, computer games, and virtual surgery. The Finite Element Method has become a popular tool in many such applications. Variants of FEM catering to both offline and real-time simulation have had a mature presence in computer graphics literature. This book is designed for readers familiar with numerical simulation in computer graphics, who would like to obtain a cohesive picture of the various FEM simulation methods available, their strengths and weaknesses, and their applicability in various simulation scenarios. The book is also a practical implementation guide for the visual effects developer, offering a lean yet adequate synopsis of the underlying mathematical theory. Chapter 1 introduces the quantitative descriptions used to capture the deformation of elastic solids, the concept of strain energy, and discusses how force and stress result as a response to deformation. Chapter 2 reviews a number of constitutive models, i.e., analytical laws linking deformation to the resulting force that has successfully been used in various graphics-oriented simulation tasks. Chapter 3 summarizes how deformation and force can be computed discretely on a tetrahedral mesh, and how an implicit integrator can be structured around this discretization. Finally, chapter 4 presents the state of the art in model reduction techniques for real-time FEM solid simulation and discusses which techniques are suitable for which applications. Topics discussed in this chapter include linear modal analysis, modal warping, subspace simulation, and domain decomposition.
Finite Element Method
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Author : Păcurar Răzvan
language : en
Publisher: BoD – Books on Demand
Release Date : 2018-02-28
Finite Element Method written by Păcurar Răzvan and has been published by BoD – Books on Demand this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-02-28 with Computers categories.
The book entitled Finite Element Method: Simulation, Numerical Analysis, and Solution Techniques aims to present results of the applicative research performed using FEM in various engineering fields by researchers affiliated to well-known universities. The book has a profound interdisciplinary character and is mainly addressed to researchers, PhD students, graduate and undergraduate students, teachers, engineers, as well as all other readers interested in the engineering applications of FEM. I am confident that readers will find information and challenging topics of high academic and scientific level, which will encourage them to enhance their knowledge in this engineering domain having a continuous expansion. The applications presented in this book cover a broad spectrum of finite element applications starting from mechanical, electrical, or energy production and finishing with the successful simulation of severe meteorological phenomena.
Finite Element Analysis Concepts Via Solidworks
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Author : Akin John Edward
language : en
Publisher: World Scientific Publishing Company
Release Date : 2010-08-06
Finite Element Analysis Concepts Via Solidworks written by Akin John Edward and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-08-06 with Computers categories.
Young engineers are often required to utilize commercial finite element software without having had a course on finite element theory. That can lead to computer-aided design errors.This book outlines the basic theory, with a minimum of mathematics, and how its phases are structured within a typical software. The importance of estimating a solution, or verifying the results, by other means is emphasized and illustrated. The book also demonstrates the common processes for utilizing the typical graphical icon interfaces in commercial codes. In particular, the book uses and covers the widely utilized SolidWorks solid modeling and simulation system to demonstrate applications in heat transfer, stress analysis, vibrations, buckling, and other fields. The book, with its detailed applications, will appeal to upper-level undergraduates as well as engineers new to industry.
The Finite Element Method For Mechanics Of Solids With Ansys Applications
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Author : Ellis H. Dill
language : en
Publisher: CRC Press
Release Date : 2011-08-25
The Finite Element Method For Mechanics Of Solids With Ansys Applications written by Ellis H. Dill and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-08-25 with Science categories.
While the finite element method (FEM) has become the standard technique used to solve static and dynamic problems associated with structures and machines, ANSYS software has developed into the engineer's software of choice to model and numerically solve those problems. An invaluable tool to help engineers master and optimize analysis, The Finite El
The Finite Element Method
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Author : G.R. Liu
language : en
Publisher: Butterworth-Heinemann
Release Date : 2013-08-07
The Finite Element Method written by G.R. Liu and has been published by Butterworth-Heinemann this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-08-07 with Technology & Engineering categories.
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
Practical Programming Of Finite Element Procedures For Solids And Structures With Matlab
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Author : Salar Farahmand-Tabar
language : en
Publisher: Elsevier
Release Date : 2023-09-22
Practical Programming Of Finite Element Procedures For Solids And Structures With Matlab written by Salar Farahmand-Tabar and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-09-22 with Computers categories.
Practical Programming of Finite Element Procedures for Solids and Structures with MATLAB: From Elasticity to Plasticity provides readers with step-by-step programming processes and applications of the finite element method (FEM) in MATLAB®, as well as the underlying theory. The hands-on approach covers a number of structural problems such as linear analysis of solids and structural elements, as well as nonlinear subjects including elastoplasticity and hyperelasticity. Each chapter begins with foundational topics to provide a solid understanding of the subject, then progresses to more complicated problems with supporting examples for constructing the appropriate program. This book focuses on topics commonly encountered in civil, mechanical, and aerospace engineering. Special situations in structural analysis, 2D and 3D solids with various mesh elements, surface and body loading, incremental solution process, elastoplasticity, and finite deformation hyperelastic analysis are covered. Code that can be implemented and further extended is also provided. Covers both theory and practice of the finite element method (FEM) Hands-on approach that provides a variety of both simple and complex problems for readers Includes MATLAB® codes that can be immediately implemented as well as extended by readers to improve their own FEM skills Provides special cases of structural analysis, elastoplasticity and hyperelasticity problems
The Finite Element Method For Solid And Structural Mechanics
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Author : O. C. Zienkiewicz
language : en
Publisher: Butterworth-Heinemann
Release Date : 2013-10-24
The Finite Element Method For Solid And Structural Mechanics written by O. C. Zienkiewicz and has been published by Butterworth-Heinemann this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-10-24 with Mathematics categories.
The seventh edition of these seminal books delivers the most up to date and comprehensive reference yet on the finite element method for engineers and mathematicians. Renowned for their scope, range and authority, the new editions have been significantly revised and developed. Each book is now complete in its own right and provides self-contained reference, while together they provide a formidable resource covering the theory and the application of the universally used FEM. * World leading author team of the highest stature, drawn from the academic, research and software applications communities. * A proven standard in the library of any engineer concerned with finite elements * Significant changes include a clearer presentation of the development of the finite element fundamentals and six major new chapters
The Finite Element Method Solid Mechanics
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Author : O. C. Zienkiewicz
language : en
Publisher: Butterworth-Heinemann
Release Date : 2000
The Finite Element Method Solid Mechanics written by O. C. Zienkiewicz and has been published by Butterworth-Heinemann this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Continuum mechanics categories.
Smoothed Finite Element Methods
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Author : G.R. Liu
language : en
Publisher: CRC Press
Release Date : 2016-04-19
Smoothed Finite Element Methods written by G.R. Liu and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-19 with Science categories.
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 mo
Finite Element Method Simulation Of 3d Deformable Solids
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Author : Eftychios Sifakis
language : en
Publisher: Morgan & Claypool Publishers
Release Date : 2015-10-01
Finite Element Method Simulation Of 3d Deformable Solids written by Eftychios Sifakis and has been published by Morgan & Claypool Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-10-01 with Computers categories.
This book serves as a practical guide to simulation of 3D deformable solids using the Finite Element Method (FEM). It reviews a number of topics related to the theory and implementation of FEM approaches: measures of deformation, constitutive laws of nonlinear materials, tetrahedral discretizations, and model reduction techniques for real-time simulation. Simulations of deformable solids are important in many applications in computer graphics, including film special effects, computer games, and virtual surgery. The Finite Element Method has become a popular tool in many such applications. Variants of FEM catering to both offline and real-time simulation have had a mature presence in computer graphics literature. This book is designed for readers familiar with numerical simulation in computer graphics, who would like to obtain a cohesive picture of the various FEM simulation methods available, their strengths and weaknesses, and their applicability in various simulation scenarios. The book is also a practical implementation guide for the visual effects developer, offering a lean yet adequate synopsis of the underlying mathematical theory. Chapter 1 introduces the quantitative descriptions used to capture the deformation of elastic solids, the concept of strain energy, and discusses how force and stress result as a response to deformation. Chapter 2 reviews a number of constitutive models, i.e., analytical laws linking deformation to the resulting force that has successfully been used in various graphics-oriented simulation tasks. Chapter 3 summarizes how deformation and force can be computed discretely on a tetrahedral mesh, and how an implicit integrator can be structured around this discretization. Finally, chapter 4 presents the state of the art in model reduction techniques for real-time FEM solid simulation and discusses which techniques are suitable for which applications. Topics discussed in this chapter include linear modal analysis, modal warping, subspace simulation, and domain decomposition.