Elastoplastic Material Design And Simulation

Physics-based object simulation has always been a hot research direction in the field of computer graphics.It has a wide range of applications in computer animation,computer vision,video games,and virtual reality.There are many methods for physical simulation,such as finite element method,near-field dynamics method,smooth particle dynamics method,position-based dynamics method,etc.Among them,the finite element simulation method uses a stable topology because of its discrete process.Cell grids,therefore,are methods with higher authenticity and better stability,and are also one of the most used methods by researchers today.The deformation state of an object after it is subjected to a force depends on the functional relationship between the stress and the strain of the material,that is,the constitutive model of the material.In order to better study the constitutive model of the material,this paper uses the energy function model of Valanis-Landel separation.The separated energy function model separates the one-dimensional,two-dimensional,and three-dimensional functional relationships between the stress and strain of the object.Such a representation method has significant advantages both in terms of the constitutive relationship of the edited material and later in the calculation of physical deformation through the constitutive model.Therefore,we use a separate energy function model to design the material constitutive model and improve the original Valanis Landel energy model.By adding the anisotropic term and the plastic term,it can better meet the needs of physical simulation..After designing the constitutive model of the material,this paper substitutes the designed material model into the finite element simulation method for computational simulation.Through a large number of tests,the isolated energy function constitutive model can accurately and stably simulate the plastic material.And through the use of different energy function relationships,to get the designer's expected deformation effect.In addition,in the course of the experiment,this thesis found that not all forms of energy functions can be correctly and stably simulated during material design.Based on this point,the stability conditions of the energy function model design are also given in this thesis.