FEM Of Coupled Equations And Its Pre-Post Processing

The non-Newtonian boundary-layer phenomenon of the viscoelastic plastic materi-al in crash safety has important practical significance.In this paper,non-linear coupled PDEs(Cauchy fluid equation and P-T/T structure equation)are used to describe the deforma-tion and stress distribution of contact interface. On a macroscopic scale,the space domain is discretized by finite element method and the time domain is discretized by finite dif-ference scheme.the combination form fully discrete schemes in the end.On a microscopic scale,we studies the change rules of velocity field and stress field on complex contact sur-face by representing the collision real scene through three-dimensional modeling using high performance computing software(OASYS and DYNA).this paper introduces three linear functional to studies the convergence of coupled e-quations on the basis of semi-discrete finite element method(Lagrange shape function is used in space domain and the Euler backward difference scheme is used in time domain).We come to a conclusion that when parameters are fixed, the coupled equations can reach a cer-tain precision by selecting appropriate step length.The grids on contact surface produce great deformation under inappropriate step length through the results of numerical test.In addition,simulation analysis of the deformation of non-Newtonian mechanics with Porous-Honeycomb material especially the boundary-layer material is carried out through HPC platform.We also studies different microscopic deformation and stress distribution of Honey-comb structure under different compression conditions. The result shows that the energy is absorbed and consumed with deformation and the deformation of material focus on the contact surface,while material which is far from boundary-layer has little impact.