MARC 主機 00000nam  2200625 i 4500 
001    7327378 
003    IEEE 
005    20151125101349.0 
006    m    eo  d         
007    cr cn |||m|||a 
008    151124s2016    caua   foab   000 0 eng d 
020    9781627054430|qebook 
020    |z9781627054423|qprint 
024 7  10.2200/S00674ED1V01Y201509CGR021|2doi 
035    (CaBNVSL)swl00405824 
035    (OCoLC)930369926 
040    CaBNVSL|beng|erda|cCaBNVSL|dCaBNVSL|dAS|dIIS 
050  4 QC193|b.S544 2016 
082 04 531.382|223 
100 1  Sifakis, Eftychios.,|eauthor 
245 10 Finite element method simulation of 3D deformable solids /
       |cEftychios Sifakis, Jernej Barbic 
264  1 San Rafael, California (1537 Fourth Street, San Rafael, CA
       94901 USA) :|bMorgan & Claypool,|c2016 
300    1 online resource(xii, 57 pages) :|billustrations 
336    text|2rdacontent 
337    electronic|2isbdmedia 
338    online resource|2rdacarrier 
490 1  Synthesis lectures on visual computing,|x2469-4223 ;|v# 21
500    Part of: Synthesis digital library of engineering and 
       computer science 
504    Includes bibliographical references (pages 53-56) 
505 0  1. Elasticity in three dimensions -- 1.1 Deformation map 
       and deformation gradient -- 1.2 Strain energy and 
       hyperelasticity -- 1.3 Force and traction -- 1.4 The first
       Piola-Kirchhoff stress tensor -- 
505 8  2. Constitutive models of materials -- 2.1 Strain measures
       -- 2.2 Linear elasticity -- 2.3 St. Venant-Kirchhoff model
       -- 2.4 Corotated linear elasticity -- 2.5 Isotropic 
       materials and invariants -- 2.6 Neohookean elasticity -- 
505 8  3. Discretization and time integration -- 3.1 Energy and 
       force discretization -- 3.2 Linear tetrahedral elements --
       3.3 Force differentials -- 3.4 An implicit time 
       integration scheme -- 
505 8  4. Model reduction -- 4.1 Introduction -- 4.1.1 Survey of 
       POD-based model reduction in computer graphics -- 4.2 
       Linear modal analysis -- 4.2.1 Small deformation 
       simulation using linear modal analysis -- 4.2.2 
       Application to sound simulation -- 4.3 Model reduction of 
       nonlinear deformations -- 4.3.1 Timestepping the reduced 
       nonlinear equations of motion -- 4.3.2 Choice of basis -- 
       4.4 Model reduction and domain decomposition -- 4.5 Model 
       reduction and control -- 4.6 Free software for model 
       reduction -- 4.7 Deformation warping -- 4.7.1 Rotation-
       strain coordinate warping -- 4.7.2 Warping for triangle 
       meshes -- 4.8 Acknowledgments -- Bibliography -- Authors' 
       biographies 
506    Abstract freely available; full-text restricted to 
       subscribers or individual document purchasers 
510 0  Compendex 
510 0  INSPEC 
510 0  Google scholar 
510 0  Google book search 
520 3  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 
530    Also available in print 
538    Mode of access: World Wide Web 
538    System requirements: Adobe Acrobat Reader 
588    Title from PDF title page (viewed on November 24, 2015) 
650  0 Elastic solids|xComputer simulation 
650  0 Strength of materials|xComputer simulation 
653    Finite Element Method 
653    large deformations 
653    solid mechanics 
653    model reduction 
700 1  Barbic, Jernej.,|eauthor 
776 08 |iPrint version:|z9781627054423 
830  0 Synthesis digital library of engineering and computer 
       science 
830  0 Synthesis lectures on visual computing ;|v# 21.|x2469-4223
856 41 |uhttp://ieeexplore.ieee.org/servlet/opac?bknumber=7327378
       |zeBook(IEEE-MORGAN)