An energy constraint position-based dynamics with corrected SPH kernel  

作　　者：Wei CAO Luan LYU Zhixin YANG Enhua WU 

机构地区：[1]College of Computer Science and Technology,China University of Petroleum,Qingdao 266580,China [2]State Key Laboratory of Internet of Things for Smart City,University of Macao,Macao 999078,China [3]Faculty of Science and Technology,University of Macao,Macao 999078,China [4]State Key Laboratory of Computer Science,Institute of Software,Chinese Academy of Sciences,Beijing 100864,China [5]Guangzhou Greater Bay Area Virtual Reality Research Institute,Guangzhou 510000,China

出　　处：《Science China(Information Sciences)》2023年第1期140-153,共14页中国科学（信息科学）（英文版）

基　　金：supported by Fund of China University of Ptroleum (Grant No.21CX06042A);National Natural Science Foundation of China (Grant Nos.62072449,61972271);Macao FDCT Grant (Grant No.0018/2019/AKP);Science and Technology Development Fund,Macao SAR (Grant Nos.0018/2019/AKP,SKL-IOTSC (UM)-2021-2023);Guangdong Science and Technology Department (Grant Nos.2018B030324002,2020B1515130001);Zhuhai Science and Technology Innovation Bureau (Grant No.ZH22017002200001PWC);Jiangsu Science and Technology Department (Grant No.BZ2021061);University of Macao (Grant No.MYRG2020-00253-FST)。

摘　　要：We introduce an improved position-based dynamics method with corrected smoothed particle hydrodynamics(SPH)kernel to simulate deformable solids.Using a strain energy constraint that follows the continuum mechanics,the method can maintain the efficiency and stability of the position-based approach while improving the physical plausibility of the simulation.We can easily simulate the behavior of anisotropic and plastic materials because the method is based on physics.Unlike the previous position-based simulations of continuous materials,we use weakly structured particles to discretize the model for the convenience of deformable object cutting.In this case,a corrected SPH kernel function is adopted to measure the deformation gradient and calculate the strain energy on each particle.We also propose a solution for the interparticle inversion and penetration in large deformation.To perform complex interaction scenarios,we provide a simple method for collision detection.We demonstrate the flexibility,efficiency,and robustness of the proposed method by simulating various scenes,including anisotropic elastic deformation,plastic deformation,model cutting,and large-scale elastic collision.

关 键 词：position-based dynamics deformable solids continuum mechanics 

分 类 号：O35[理学—流体力学]