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Mathematical Problems in Engineering
Volume 2017, Article ID 1467356, 14 pages
Research Article

A Smoothed Finite Element-Based Elasticity Model for Soft Bodies

1College of Computer Science and Technology, Beijing Normal University, Beijing 100875, China
2Engineering Research Center of Virtual Reality Applications, Ministry of Education of the People’s Republic of China, Beijing 100875, China

Correspondence should be addressed to Mingquan Zhou; nc.ude.unb@uohzqm

Received 8 December 2016; Revised 9 February 2017; Accepted 14 February 2017; Published 29 March 2017

Academic Editor: Giovanni Garcea

Copyright © 2017 Juan Zhang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


One of the major challenges in mesh-based deformation simulation in computer graphics is to deal with mesh distortion. In this paper, we present a novel mesh-insensitive and softer method for simulating deformable solid bodies under the assumptions of linear elastic mechanics. A face-based strain smoothing method is adopted to alleviate mesh distortion instead of the traditional spatial adaptive smoothing method. Then, we propose a way to combine the strain smoothing method and the corotational method. With this approach, the amplitude and frequency of transient displacements are slightly affected by the distorted mesh. Realistic simulation results are generated under large rotation using a linear elasticity model without adding significant complexity or computational cost to the standard corotational FEM. Meanwhile, softening effect is a by-product of our method.