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Deformation simulation of non-orthotropic materials

Published: 02 December 2018 Publication History

Abstract

Physically based deformation simulation has been studied for many years in computer graphics. In order to simulate more complex materials and better meet the designer's requirements, the anisotropic approach was proposed in recent years. However, most of the existing approaches focus on orthotropic materials. In this paper, a general non-orthogonal constitutive model is presented to simulate the anisotropic deformation behavior for 3D soft objects. The model exhibits different deformation behaviors in different directions by constructing a non-orthogonal coordinate system with covariant and contravariant basis vectors. The constitutive relation between stress and strain is first defined in the non-orthogonal coordinate system, and then transformed into the standard Cartesian coordinate system to represent the global non-orthotropic materials. In addition, a time-varying method is introduced to track changes of the local coordinate system for each discrete element during deformation, which makes the simulation of non-orthotropic materials more stable. Finally, in order to present desirable features for objects with complex structure, the deformable objects are partitioned into several regions according to their skeletons with the combination of frame-field concept. A corotational linear Finite Element Method(CLFEM) is utilized to complete the simulation. Experiments are presented to demonstrate the efficiency of the non-orthogonal constitutive model.

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Cited By

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  • (2020)Fracture Patterns Design for Anisotropic Models with the Material Point MethodComputer Graphics Forum10.1111/cgf.1412939:7(93-104)Online publication date: 24-Nov-2020

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  1. Deformation simulation of non-orthotropic materials

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    cover image ACM Conferences
    VRCAI '18: Proceedings of the 16th ACM SIGGRAPH International Conference on Virtual-Reality Continuum and its Applications in Industry
    December 2018
    200 pages
    ISBN:9781450360876
    DOI:10.1145/3284398
    Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than the author(s) must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected].

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    Published: 02 December 2018

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    1. deformation simulation
    2. finite element method
    3. non-orthotropic materials
    4. physically based animation

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    • (2020)Fracture Patterns Design for Anisotropic Models with the Material Point MethodComputer Graphics Forum10.1111/cgf.1412939:7(93-104)Online publication date: 24-Nov-2020

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