Finite Element Method Simulation Of 3d Deformable Solids

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Finite Element Method Simulation of 3D Deformable Solids

Author : Eftychios Sifakis
Publisher : Springer Nature
ISBN 13 : 3031025857
Total Pages : 57 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Finite Element Method Simulation of 3D Deformable Solids by : Eftychios Sifakis

Download or read book Finite Element Method Simulation of 3D Deformable Solids written by Eftychios Sifakis and published by Springer Nature. This book was released on 2022-06-01 with total page 57 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Finite Element Method in Solid Mechanics

Author : Marc Bonnet
Publisher :
ISBN 13 : 9788838674464
Total Pages : 352 pages
Book Rating : 4.6/5 (744 download)

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Book Synopsis The Finite Element Method in Solid Mechanics by : Marc Bonnet

Download or read book The Finite Element Method in Solid Mechanics written by Marc Bonnet and published by . This book was released on 2014 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Finite Element Analysis of Solids and Structures

Author : Sudip S. Bhattacharjee
Publisher : CRC Press
ISBN 13 : 100041230X
Total Pages : 341 pages
Book Rating : 4.0/5 (4 download)

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Book Synopsis Finite Element Analysis of Solids and Structures by : Sudip S. Bhattacharjee

Download or read book Finite Element Analysis of Solids and Structures written by Sudip S. Bhattacharjee and published by CRC Press. This book was released on 2021-07-18 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt: Finite Element Analysis of Solids and Structures combines the theory of elasticity (advanced analytical treatment of stress analysis problems) and finite element methods (numerical details of finite element formulations) into one academic course derived from the author’s teaching, research, and applied work in automotive product development as well as in civil structural analysis. Features Gives equal weight to the theoretical details and FEA software use for problem solution by using finite element software packages Emphasizes understanding the deformation behavior of finite elements that directly affect the quality of actual analysis results Reduces the focus on hand calculation of property matrices, thus freeing up time to do more software experimentation with different FEA formulations Includes chapters dedicated to showing the use of FEA models in engineering assessment for strength, fatigue, and structural vibration properties Features an easy to follow format for guided learning and practice problems to be solved by using FEA software package, and with hand calculations for model validation This textbook contains 12 discrete chapters that can be covered in a single semester university graduate course on finite element analysis methods. It also serves as a reference for practicing engineers working on design assessment and analysis of solids and structures. Teaching ancillaries include a solutions manual (with data files) and lecture slides for adopting professors.

Finite Element Method for Solids and Structures

Author : Sung W. Lee
Publisher : Cambridge University Press
ISBN 13 : 1108750915
Total Pages : 370 pages
Book Rating : 4.1/5 (87 download)

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Book Synopsis Finite Element Method for Solids and Structures by : Sung W. Lee

Download or read book Finite Element Method for Solids and Structures written by Sung W. Lee and published by Cambridge University Press. This book was released on 2021-06-17 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: This innovative approach to teaching the finite element method blends theoretical, textbook-based learning with practical application using online and video resources. This hybrid teaching package features computational software such as MATLAB®, and tutorials presenting software applications such as PTC Creo Parametric, ANSYS APDL, ANSYS Workbench and SolidWorks, complete with detailed annotations and instructions so students can confidently develop hands-on experience. Suitable for senior undergraduate and graduate level classes, students will transition seamlessly between mathematical models and practical commercial software problems, empowering them to advance from basic differential equations to industry-standard modelling and analysis. Complete with over 120 end-of chapter problems and over 200 illustrations, this accessible reference will equip students with the tools they need to succeed in the workplace.

The Finite Element Method for Solid and Structural Mechanics

Author : O. C. Zienkiewicz
Publisher : Elsevier
ISBN 13 : 0080455581
Total Pages : 653 pages
Book Rating : 4.0/5 (84 download)

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Book Synopsis The Finite Element Method for Solid and Structural Mechanics by : O. C. Zienkiewicz

Download or read book The Finite Element Method for Solid and Structural Mechanics written by O. C. Zienkiewicz and published by Elsevier. This book was released on 2005-08-09 with total page 653 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the key text and reference for engineers, researchers and senior students dealing with the analysis and modelling of structures – from large civil engineering projects such as dams, to aircraft structures, through to small engineered components. Covering small and large deformation behaviour of solids and structures, it is an essential book for engineers and mathematicians. The new edition is a complete solids and structures text and reference in its own right and forms part of the world-renowned Finite Element Method series by Zienkiewicz and Taylor. New material in this edition includes separate coverage of solid continua and structural theories of rods, plates and shells; extended coverage of plasticity (isotropic and anisotropic); node-to-surface and 'mortar' method treatments; problems involving solids and rigid and pseudo-rigid bodies; and multi-scale modelling. - Dedicated coverage of solid and structural mechanics by world-renowned authors, Zienkiewicz and Taylor - New material including separate coverage of solid continua and structural theories of rods, plates and shells; extended coverage for small and finite deformation; elastic and inelastic material constitution; contact modelling; problems involving solids, rigid and discrete elements; and multi-scale modelling

Finite Element Analysis Concepts: Via Solidworks

Author : Akin John Edward
Publisher : World Scientific Publishing Company
ISBN 13 : 9813107928
Total Pages : 348 pages
Book Rating : 4.8/5 (131 download)

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Book Synopsis Finite Element Analysis Concepts: Via Solidworks by : Akin John Edward

Download or read book Finite Element Analysis Concepts: Via Solidworks written by Akin John Edward and published by World Scientific Publishing Company. This book was released on 2010-08-06 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Combined Finite-Discrete Element Method

Author : Ante Munjiza
Publisher : John Wiley & Sons
ISBN 13 :
Total Pages : 360 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis The Combined Finite-Discrete Element Method by : Ante Munjiza

Download or read book The Combined Finite-Discrete Element Method written by Ante Munjiza and published by John Wiley & Sons. This book was released on 2004-04-02 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: The combined finite discrete element method is a relatively new computational tool aimed at problems involving static and / or dynamic behaviour of systems involving a large number of solid deformable bodies. Such problems include fragmentation using explosives (e.g rock blasting), impacts, demolition (collapsing buildings), blast loads, digging and loading processes, and powder technology. The combined finite-discrete element method - a natural extension of both discrete and finite element methods - allows researchers to model problems involving the deformability of either one solid body, a large number of bodies, or a solid body which fragments (e.g. in rock blasting applications a more or less intact rock mass is transformed into a pile of solid rock fragments of different sizes, which interact with each other). The topic is gaining in importance, and is at the forefront of some of the current efforts in computational modeling of the failure of solids. * Accompanying source codes plus input and output files available on the Internet * Important applications such as mining engineering, rock blasting and petroleum engineering * Includes practical examples of applications areas Essential reading for postgraduates, researchers and software engineers working in mechanical engineering.

ACM SIGGRAPH 2012 Courses

Author : ACM Special Interest Group on Computer Graphics
Publisher :
ISBN 13 : 9781450316781
Total Pages : 1998 pages
Book Rating : 4.3/5 (167 download)

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Book Synopsis ACM SIGGRAPH 2012 Courses by : ACM Special Interest Group on Computer Graphics

Download or read book ACM SIGGRAPH 2012 Courses written by ACM Special Interest Group on Computer Graphics and published by . This book was released on 2012 with total page 1998 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Error-controlled Adaptive Finite Elements in Solid Mechanics

Author : Ekkehard Ramm
Publisher : John Wiley & Sons
ISBN 13 : 9780471496502
Total Pages : 426 pages
Book Rating : 4.4/5 (965 download)

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Book Synopsis Error-controlled Adaptive Finite Elements in Solid Mechanics by : Ekkehard Ramm

Download or read book Error-controlled Adaptive Finite Elements in Solid Mechanics written by Ekkehard Ramm and published by John Wiley & Sons. This book was released on 2002-12-30 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: Finite Element Methods are used for numerous engineering applications where numerical solutions of partial differential equations are needed. As computers can now deal with the millions of parameters used in these methods, automatic error estimation and automatic adaptation of the utilised method (according to this error estimation), has become a hot research topic. This text offers comprehensive coverage of this new field of automatic adaptation and error estimation, bringing together the work of eight outstanding researchers in this field who have completed a six year national research project within the German Science Foundation. The result is a state-of-the-art work in true reference style. Each chapter is self-contained and covers theoretical, algorithmic and software presentations as well as solved problems. A main feature consists of several carefully elaborated benchmarks of 2D- and 3D- applications. First book to go beyond the Finite Element Method in itself Covers material from a new research area Presents benchmarks of 2D- and 3D- applications Fits with the new trend for genetic strategies in engineering

Next Generation Computer Animation Techniques

Author : Jian Chang
Publisher : Springer
ISBN 13 : 3319694871
Total Pages : 251 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Next Generation Computer Animation Techniques by : Jian Chang

Download or read book Next Generation Computer Animation Techniques written by Jian Chang and published by Springer. This book was released on 2017-10-30 with total page 251 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the thoroughly refereed post-conference proceedings of the Third International Workshop on Next Generation Computer Animation Techniques, AniNex 2017, held in Bournemouth, UK, in June 2017. The workshop was held in conjunction with the 11th International Conference on E-Learning and Games, Edutainment 2017. The 17 full papers presented in this volume were carefully reviewed and selected from 27 submissions. The papers are structured according to the four main themes: simulation and rendering for computer animation; character modeling and dynamics; user centered design and modeling; computer animation systems and virtual reality based applications.

Design of an Interactive Nonlinear Finite Element Based Deformable Object Simulator

Author : Xunlei Wu
Publisher :
ISBN 13 :
Total Pages : 304 pages
Book Rating : 4.:/5 (34 download)

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Book Synopsis Design of an Interactive Nonlinear Finite Element Based Deformable Object Simulator by : Xunlei Wu

Download or read book Design of an Interactive Nonlinear Finite Element Based Deformable Object Simulator written by Xunlei Wu and published by . This book was released on 2002 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Finite Element Method

Author : Michael R. Gosz
Publisher : CRC Press
ISBN 13 : 1420056557
Total Pages : 400 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Finite Element Method by : Michael R. Gosz

Download or read book Finite Element Method written by Michael R. Gosz and published by CRC Press. This book was released on 2017-03-27 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: The finite element method (FEM) is the dominant tool for numerical analysis in engineering, yet many engineers apply it without fully understanding all the principles. Learning the method can be challenging, but Mike Gosz has condensed the basic mathematics, concepts, and applications into a simple and easy-to-understand reference. Finite Element Method: Applications in Solids, Structures, and Heat Transfer navigates through linear, linear dynamic, and nonlinear finite elements with an emphasis on building confidence and familiarity with the method, not just the procedures. This book demystifies the assumptions made, the boundary conditions chosen, and whether or not proper failure criteria are used. It reviews the basic math underlying FEM, including matrix algebra, the Taylor series expansion and divergence theorem, vectors, tensors, and mechanics of continuous media. The author discusses applications to problems in solid mechanics, the steady-state heat equation, continuum and structural finite elements, linear transient analysis, small-strain plasticity, and geometrically nonlinear problems. He illustrates the material with 10 case studies, which define the problem, consider appropriate solution strategies, and warn against common pitfalls. Additionally, 35 interactive virtual reality modeling language files are available for download from the CRC Web site. For anyone first studying FEM or for those who simply wish to deepen their understanding, Finite Element Method: Applications in Solids, Structures, and Heat Transfer is the perfect resource.

Cloth Simulation for Computer Graphics

Author : Tuur Stuyck
Publisher : Springer Nature
ISBN 13 : 3031025970
Total Pages : 110 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Cloth Simulation for Computer Graphics by : Tuur Stuyck

Download or read book Cloth Simulation for Computer Graphics written by Tuur Stuyck and published by Springer Nature. This book was released on 2022-06-01 with total page 110 pages. Available in PDF, EPUB and Kindle. Book excerpt: Physics-based animation is commonplace in animated feature films and even special effects for live-action movies. Think about a recent movie and there will be some sort of special effects such as explosions or virtual worlds. Cloth simulation is no different and is ubiquitous because most virtual characters (hopefully!) wear some sort of clothing. The focus of this book is physics-based cloth simulation. We start by providing background information and discuss a range of applications. This book provides explanations of multiple cloth simulation techniques. More specifically, we start with the most simple explicitly integrated mass-spring model and gradually work our way up to more complex and commonly used implicitly integrated continuum techniques in state-of-the-art implementations. We give an intuitive explanation of the techniques and give additional information on how to efficiently implement them on a computer. This book discusses explicit and implicit integration schemes for cloth simulation modeled with mass-spring systems. In addition to this simple model, we explain the more advanced continuum-inspired cloth model introduced in the seminal work of Baraff and Witkin [1998]. This method is commonly used in industry. We also explain recent work by Liu et al. [2013] that provides a technique to obtain fast simulations. In addition to these simulation approaches, we discuss how cloth simulations can be art directed for stylized animations based on the work of Wojan et al. [2016]. Controllability is an essential component of a feature animation film production pipeline. We conclude by pointing the reader to more advanced techniques.

An Introduction to Verification of Visualization Techniques

Author : Tiago Etiene
Publisher : Springer Nature
ISBN 13 : 3031025873
Total Pages : 80 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis An Introduction to Verification of Visualization Techniques by : Tiago Etiene

Download or read book An Introduction to Verification of Visualization Techniques written by Tiago Etiene and published by Springer Nature. This book was released on 2022-06-01 with total page 80 pages. Available in PDF, EPUB and Kindle. Book excerpt: As we increase our reliance on computer-generated information, often using it as part of our decision-making process, we must devise tools to assess the correctness of that information. Consider, for example, software embedded on vehicles, used for simulating aircraft performance, or used in medical imaging. In those cases, software correctness is of paramount importance as there's little room for error. Software verification is one of the tools available to attain such goals. Verification is a well known and widely studied subfield of computer science and computational science and the goal is to help us increase confidence in the software implementation by verifying that the software does what it is supposed to do. The goal of this book is to introduce the reader to software verification in the context of visualization. In the same way we became more dependent on commercial software, we have also increased our reliance on visualization software. The reason is simple: visualization is the lens through which users can understand complex data, and as such it must be verified. The explosion in our ability to amass data requires tools not only to store and analyze data, but also to visualize it. This book is comprised of six chapters. After an introduction to the goals of the book, we present a brief description of both worlds of visualization (Chapter 2) and verification (Chapter 3). We then proceed to illustrate the main steps of the verification pipeline for visualization algorithms. We focus on two classic volume visualization techniques, namely, Isosurface Extraction (Chapter 4) and Direct Volume Rendering (Chapter 5). We explain how to verify implementations of those techniques and report the latest results in the field of verification of visualization techniques. The last chapter concludes the book and highlights new research topics for the future.

Virtual Material Acquisition and Representation for Computer Graphics

Author : Dar'ya Guarnera
Publisher : Springer Nature
ISBN 13 : 3031025954
Total Pages : 93 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Virtual Material Acquisition and Representation for Computer Graphics by : Dar'ya Guarnera

Download or read book Virtual Material Acquisition and Representation for Computer Graphics written by Dar'ya Guarnera and published by Springer Nature. This book was released on 2022-05-31 with total page 93 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides beginners in computer graphics and related fields a guide to the concepts, models, and technologies for realistic rendering of material appearance. It provides a complete and thorough overview of reflectance models and acquisition setups, along with providing a selection of the available tools to explore, visualize, and render the reflectance data. Reflectance models are under continuous development, since there is still no straightforward solution for general material representations. Every reflectance model is specific to a class of materials. Hence, each has strengths and weaknesses, which the book highlights in order to help the reader choose the most suitable model for any purpose. The overview of the acquisition setups will provide guidance to a reader who needs to acquire virtual materials and will help them to understand which measurement setup can be useful for a particular purpose, while taking into account the performance and the expected cost derived from the required components. The book also describes several recent open source software solutions, useful for visualizing and manipulating a wide variety of reflectance models and data.

Geometric Continuity of Curves and Surfaces

Author : Przemysław Kiciak
Publisher : Springer Nature
ISBN 13 : 3031025903
Total Pages : 233 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Geometric Continuity of Curves and Surfaces by : Przemysław Kiciak

Download or read book Geometric Continuity of Curves and Surfaces written by Przemysław Kiciak and published by Springer Nature. This book was released on 2022-05-31 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is written for students, CAD system users and software developers who are interested in geometric continuity—a notion needed in everyday practice of Computer-Aided Design and also a hot subject of research. It contains a description of the classical geometric spline curves and a solid theoretical basis for various constructions of smooth surfaces. Textbooks on computer graphics usually cover the most basic and necessary information about spline curves and surfaces in order to explain simple algorithms. In textbooks on geometric design, one can find more details, more algorithms and more theory. This book teaches how various parts of the theory can be gathered together and turned into constructions of smooth curves and smooth surfaces of arbitrary topology. The mathematical background needed to understand this book is similar to what is necessary to read other textbooks on geometric design; most of it is basic linear algebra and analysis. More advanced mathematical material is introduced using elementary explanations. Reading Geometric Continuity of Curves and Surfaces provides an excellent opportunity to recall and exercise necessary mathematical notions and it may be your next step towards better practice and higher understanding of design principles.

Digital Heritage Reconstruction Using Super-resolution and Inpainting

Author : Milind G. Padalkar
Publisher : Springer Nature
ISBN 13 : 3031025911
Total Pages : 150 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Digital Heritage Reconstruction Using Super-resolution and Inpainting by : Milind G. Padalkar

Download or read book Digital Heritage Reconstruction Using Super-resolution and Inpainting written by Milind G. Padalkar and published by Springer Nature. This book was released on 2022-06-01 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt: Heritage sites across the world have witnessed a number of natural calamities, sabotage and damage from visitors, resulting in their present ruined condition. Many sites are now restricted to reduce the risk of further damage. Yet these masterpieces are significant cultural icons and critical markers of past civilizations that future generations need to see. A digitally reconstructed heritage site could diminish further harm by using immersive navigation or walkthrough systems for virtual environments. An exciting key element for the viewer is observing fine details of the historic work and viewing monuments in their undamaged form. This book presents image super-resolution methods and techniques for automatically detecting and inpainting damaged regions in heritage monuments, in order to provide an enhanced visual experience. The book presents techniques to obtain higher resolution photographs of the digitally reconstructed monuments, and the resulting images can serve as input to immersive walkthrough systems. It begins with the discussion of two novel techniques for image super-resolution and an approach for inpainting a user-supplied region in the given image, followed by a technique to simultaneously perform super-resolution and inpainting of given missing regions. It then introduces a method for automatically detecting and repairing the damage to dominant facial regions in statues, followed by a few approaches for automatic crack repair in images of heritage scenes. This book is a giant step toward ensuring that the iconic sites of our past are always available, and will never be truly lost.