Physically Based Simulation Of Elastic Deformation Of Thin Shells

Simulation of elastic deformation of thin shells has been widely used in digital entertainment,film,animation,industrial manufacturing and other fields and it has been becoming an important area in Computer Graphics.Traditional simulation methods are mainly divided into geometry and physics.Because of the low simulation accuracy and poor stability,geometry based method is no longer applicable to the elastic deformation simulation of thin shells.With the overgrowth of the computer hardware and the improvement of Virtual Reality Technology,increasingly importance has been attached to physically based simulation of elastic deformation of thin shells.On the one hand,plausible result can be obtained because physically based method is in compliance with objective movement laws,on the other hand,the complex deformation of thin shells can be simply controlled by adjusting different mechanical parameters.As the convergence and accuracy of thin shells numerical simulation such as force analysis,energy distribution,are pathological degenerated,study on thin shells bending deformation,wrinkle and other complex physical dynamic is one of the most challenging subjects in 3D deformation.In this paper,we mainly study the physically based simulation of elastic deformation of thin shells:(1)A method based on elastic deformation energy function to simulate the inflation of thin shells is presented.Firstly,the deformation energy function is constructed,and then adding constrained conditions based on Gauss curvature to avoid self-penetration and self-collision phenomenon in the process of inflation,finally the position and velocity of the next frame are obtained by solving the equations of motion through Newmark-beta method.It shows that the experiments by the proposed method are more in accordance with the inflation phenomenon in the real world.(2)A method based on the linear elastic model is proposed to simulate large deformation of thin shells.Firstly,the local transformation of each frame of the triangular mesh is calculated,and the stiffness matrix of the initial triangular mesh is used as the stiffness matrix of the frame.The Implicit Euler method is used to solve the motion equation to obtain the position and velocity of the next frame.The experimental results show that compared with other similar algorithms,the algorithm has lower computational complexity and more realistic simulation results.