Title
Reformulating Hyperelastic Materials with Peridynamic Modeling.
Abstract
Peridynamics is a formulation of the classical elastic theory that is targeted at simulating deformable objects with discontinuities, especially fractures. Till now, there are few studies that have been focused on how to model general hyperelastic materials with peridynamics. In this paper, we target at proposing a general strain energy function of hyperelastic materials for peridynamics. To get an intuitive model that can be easily controlled, we formulate the strain energy density function as a function parameterized by the dilatation and bond stretches, which can be decomposed into multiple one-dimensional functions independently. To account for nonlinear material behaviors, we also propose a set of nonlinear basis functions to help design a nonlinear strain energy function more easily. For an anisotropic material, we additionally introduce an anisotropic kernel to control the elastic behavior for each bond independently. Experiments show that our model is flexible enough to approximately regenerate various hyperelastic materials in classical elastic theory, including St. Venant-Kirchhoff and Neo-Hookean materials.
Year
DOI
Venue
2018
10.1111/cgf.13553
COMPUTER GRAPHICS FORUM
Field
DocType
Volume
Hyperelastic material,Engineering drawing,Computer science,Theoretical computer science,Animation,Computer graphics
Journal
37.0
Issue
ISSN
Citations 
7.0
0167-7055
0
PageRank 
References 
Authors
0.34
13
5
Name
Order
Citations
PageRank
Liyou Xu100.34
Xiaowei He212319.78
Wei Chen31711246.70
Sheng Li414.07
Guoping Wang548863.02