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008 230511s2016 sz | s |||| 0|eng d
020 _a9783031025853
024 7 _a10.1007/978-3-031-02585-3
_2doi
040 _aES-MaUEC
_bspa
_cES-MaUEC
_dES-MaUEC
050 4 _aQC193
_b2016 EB
100 1 _aSifakis, Eftychios
_eautor
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_9688482
245 1 0 _aFinite Element Method Simulation of 3D Deformable Solids
_cby Eftychios Sifakis, Jernej Barbič
250 _a1st edition 2016
264 1 _aCham
_bSpringer International Publishing
_c2016
300 _a1 recurso en línea (XII, 57 páginas)
336 _atexto
_btxt
_2rdacontent
337 _aelectrónico
_bc
_2rdamedia
338 _arecurso electrónico
_bcr
_2rdacarrier
347 _aarchivo de texto
_bPDF
490 0 _aSynthesis Lectures on Visual Computing: Computer Graphics Animation Computational Photography and Imaging
_x2469-4223
505 0 _aElasticity in Three Dimensions -- Constitutive Models of Materials -- Discretization and Time Integration -- Model Reduction -- Bibliography -- Authors' Biographies .
520 _aThis 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.
988 _aSynthesis Collection of Technology_2016
650 7 _2embne
_9138250
_aElasticidad
650 7 _2embne
_9139841
_aResistencia de materiales
650 7 _2embne
_9141492
_aMétodo de elementos finitos
700 1 _aBarbič, Jernej
_d1976-
_eautor
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_9688483
776 0 8 _iPrinted edition:
_z9783031014574
776 0 8 _iPrinted edition:
_z9783031037139
856 4 0 _uhttps://go.openathens.net/redirector/universidadeuropea.es?url=https://doi.org/10.1007/978-3-031-02585-3
_zAcceso a este recurso digital (usuarios Universidad Europea de Madrid)
942 _2lcc
_cLE
998 _b05/2023
_dz
_eIG
_zSI