Design And Simulation Of Nonlinear Material Model Based On Finite Element Method

With the increasing demand for clarity and realism of games,film animations,virtual reality,etc.,the traditional key frame-based simulation technology can no longer meet the visual needs of users.The physics-based computer simulation technology mainly studies how to effectively simulate the real world,which has become a hot topic in computer simulation research.Compared to traditional keyframe-based simulation techniques,physics-based computer simulation technology not only provides realistic visual effects,but also reduces production costs and cycles.In order to design a rich simulation effect,the researchers proposed a variety of material model design methods.However,the existing design methods of material model have many problems such as difficult to control simulation effects,excessive model parameters,and unstable models.Regarding the issue above:1.We propose a nonlinear material model based on finite element for multiple material axes,which splits the strain energy density function of the material into multiple material axis parts.The model can uniformly model isotropic and anisotropic nonlinear materials and can correspond to real physical materials.By setting different strain energy density functions in different material axis directions,the characteristics of the material axis in different directions are controlled,which is in line with the real physical meaning.At the same time,the model allows the designer to design the strain energy function on each material axis.The design method is very intuitive and has fewer parameters.2.For the nonlinear material model of multiple material axes in this paper,we propose the corresponding material axis design method.Through a large number of experiments,it has been found that the orientation of the material axis is symmetrical.Designing the material direction in half the material space and designing the material direction in the entire material space can achieve the same effect.Not only does it reduce the design of the material axis,it also reduces the computation time and increases the time efficiency of the simulation..3.Unstable problems for the simulation process.This paper presents a method for designing the strain energy density function.By using the design substrates A(69)(9 B,the problem of asymmetry or uncertainty of the stiffness matrix in the simulation design process can be effectively solved,thereby avoiding unstable results in the simulation process.Finally,this paper compares with a nonlinear material model based on principal stretches.The experimental results show that the proposed method is intuitive,easy to control,and has fewer parameters.It can effectively simulate isotropic and anisotropic materials and has high time efficiency.At the same time,the models of different basis functions are compared.At the same time,the models of different basis functions are compared.The experimental results show that using the basis function proposed in this paper,various rich dynamic effects can be stably simulated.