基于有限元方法的正交各向异性形变体仿真设计  

SIMULATION DESIGN OF ORTHOTROPIC DEFORMATION BASED ON FINITE ELEMENT METHOD

作　　者：石跃祥[1,2] 胡维 Shi Yuexiang;Hu Wei(College of Information Engineering,Xiangtan University,Xiangtan 411105,Hunan,China;LED Lighting Research and Technology Center of Guizhou,Tongren 554300,Guizhou,China)

机构地区：[1]湘潭大学信息工程学院,湖南湘潭411105 [2]LED照明驱动与控制应用工程技术研究中心,贵州铜仁554300

出　　处：《计算机应用与软件》2019年第11期63-69,77,共8页Computer Applications and Software

基　　金：国家自然科学基金项目(61602397,61502407);湖南省高校创新平台开放基金项目(15K130)

摘　　要：正交各向异性形变体的仿真在计算机图形学领域中一直都是一个热门的研究课题。形变体在真实世界中往往没有这么简单,比如常见的肌肉、植物以及所熟悉的布料等,它们通常会在不同的方向上具有不同的性质,即各向异性。由于各向异性形变体的空间比较大,仿真起来不容易,因此很难建立准确的本构模型。而正交各向异性形变体因在三个正交方向上物理性质不一样从而被广泛的应用,但是仿真时也需要小心调整相关参数,调整不当会导致模拟不稳定。提出一个更加方便和直观的方法来模拟非线性正交各向异性材料,保证材料稳定性,使用该方法设计的正交各向异性材料能够仿真大变形。The simulation of orthotropic deformation has always been a hot topic in the field of computer graphics.In the real world,deformations are often not so simple,such as common muscles,plants and cloth.They usually have different properties in different directions,namely orthotropic.Because orthotropic deformations have large space,it is not easy to simulate.So it is difficult to establish an accurate constitutive model.Orthotropic deformations are widely used because of their different physical properties in the three orthogonal directions.However,it is necessary to carefully adjust the relevant parameters in simulation,and improper adjustment can lead to unstable simulation.We propose a more convenient and intuitive method to simulate nonlinear orthotropic materials and ensure the stability of materials.Moreover,we believe that orthotropic materials designed by our method can simulate large deformation.

关 键 词：有限元方法 仿真 计算机图形学 正交各向异性材料 材料稳定性 

分 类 号：TP391.9[自动化与计算机技术—计算机应用技术]