Abstract: The safety test of transportation devices, including impact test and plastoelastic deformation, is simulated both in laboratory and by computer. Contact deformation algorithm is an international standard method to simulate the skid control on complex 3-D areas. In this paper, coupled non-Newtonian fluid equations with initial boundary value are used to solve the 3-D layer structure. A finite element method (FEM) based on the variation principle is used to solve the perturbation problem, and data mining is processed by high performance software. According to the embedding principle, a stratified element division is processed, and the complex boundary is divided into several mutual connected yet not overlapped hexahedral and square elements. After building a FEM model of both macro scale and micro scale, varying curves of parameters including energy and velocity can be obtained. On the other hand, the boundary layer theory of asymptotic perturbation method is also a way to study the complex boundary problem. The characteristic function space gained can be used both to optimize the primary function of FEM, and to establish a new asymptotic method to solve the nonlinear eigen problem. It can be used to estimate the specific parameters of materials as well. The stochastic analysis of artificial boundary conditions is then used to study the resulting data.

Key words: complex contact boundary, moving boundary conditions, coupled multi-layer structure