A method for physics-based dynamic deformation with st. venant kirchhoff elasticity and implicit newmark integrator

作者：Feng Xiang^*; Wan Wanggen; Zhu Xiaoqiang; Yin Yanlu; Wang Jing

来源：Journal of Information and Computational Science, 2015, 12(9): 3333-3343.

DOI：10.12733/jics20105990

• Constrained conditions
• Deformation vectors
• Dynamic deformation
• Equilibrium equation
• Green-Lagrange strain tensors
• Kirchhoff
• Linear relationships
• Newmark

In this paper, we present a method for physics-based dynamic deformation simulation of 3D object. In interactive large deformation, linear elasticity model would typically suffer from linear exaggeration distortion, and the divergence of explicit integrator always makes the dynamic deformation completely collapse as simulation time moves forward. We use St. Venant Kirchhoff elasticity to define a linear relationship between second Piola-Kirchhoff stress tensor and Green-Lagrange strain tensor, further to derive quadratic internal elastic force with respect to deformation vector. Under specified constrained conditions and initial conditions of 3D deformable object, a motion equilibrium equation system is built with Finite Element Method discretization between the internal forces and typically interactive external force. Implicit Newmark integrator is employed to solve for deformation vector in the dynamic motion equilibrium equation. Contrastive experiments with deformable models demonstrate the superiority and effectiveness of the method in realistically rendering the interactive deformation of 3D object.

• 出版日期2015
• 单位上海大学; University of Technology Sydney; The University of Technology, Sydney; University of Technology,Sydney