A fast simulation method of superelastic material

Abstract

The invention discloses a fast simulation method of superelastic material. The method comprises the following steps: 1) discretizing the three-dimensional model to be simulated is uniformly, and calculating the state information of each discrete point; 2) setting the neighborhood radius delta of the discrete points to construct the neighborhood connection relationship of each discrete point; 3) setting a nonlinear function, an anisotropic function and related material parameters according to the superelastic material to be simulated, and determining a material constitutive model of the three-dimensional model; 4) calculating the deformation internal energy and the corresponding generate internal force according to the material constitutive model and the current state stored at the discretepoint and applying the deformation internal energy and the correspond generated internal force on the discrete point; 5) applying external force, friction force and bending anti-flip force to the discrete points where internal force is applied; then solving the position and velocity of the discrete point at the next time; 6) carrying out collision detection and collision response on the processeddiscrete points, and adjusting the position and speed of the discrete points; 7) repeating 4) to 6) until the simulation ends. The invention can effectively simulate nonlinear and anisotropic phenomena.

Description

technical field [0001] The invention belongs to the field of computer graphics, in particular to a hyperelastic material modeling and fast simulation method based on peridynamics. Background technique [0002] In computer graphics, complex 3D deformation simulation usually uses FEM method. Based on the traditional FEM method, there has been a lot of work to solve anisotropy [Li,Y.(2014).Stable orthotropic materials.ACMSiggraph / eurographics Symposium on Computer Animation(pp.41-46).EurographicsAssociation.], nonlinear material Simulation of [Xu, H., Sin, F., & Zhu, Y. (2015). Nonlinear material design using principal stretches. Acm Transactions on Graphics, 34 (4), 75.]. However, because the FEM method has natural disadvantages in dealing with discontinuity problems, it cannot simulate fragmentation well, and the peridynamic model [Silling, S.A., Epton, M., Weckner, O.,Xu,J.,&Askari,E.(2007).Peridynamic states and constitutive modeling.Journal ofElasticity,88(2),151-184.]It...

AI Technical Summary

Problems solved by technology

[0004] The present invention mainly aims at the problem that traditional peridynamic models cannot effectively model and simulate hyperelastic materials, and proposes a hyperelastic material modeling and fast simulation method based on peridynamic theory

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