Finite Element Method Simulation of 3D Deformable Solids PDF
by Eftychios Sifakis, Jernej Barbic
Part of the Synthesis Lectures on Visual Computing: Computer Graphics, Animation, Computational Photography and series
Description
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.
Information
-
Download - Immediately Available
- Format:PDF
- Publisher:Springer International Publishing
- Publication Date:01/06/2022
- Category:
- ISBN:9783031025853
Other Formats
- Paperback / softback from £18.99
Information
-
Download - Immediately Available
- Format:PDF
- Publisher:Springer International Publishing
- Publication Date:01/06/2022
- Category:
- ISBN:9783031025853
