Three-dimensional Elastic-plastic Large Deformation Contact Problems Of Meshless Analysis

In actual engineering problems such as metal forming, structure crashworthiness et al., there are a great number of interface problems with elasto-plastic large deformation. When such large deformation or distortion is solved by Finite element method, it must remesh process must be developed to get the less accurate numerical result. But as well known to us, it is a tough, worldwide task to remesh in complicate three-dimensions.In this paper, Meshless method, which has been developed and sprung up in recent years, is used to solve the large 3-demensions deformation in the elasto-plastic interface problem. Because in Meshless method only nodal data is needed, meshing or remeshing in complicate 3-demensions problems is avoided. Besides, the Gauss interpolation function and the domain of support which includes much more nodal information than Finite element method does is used to make Meshless method much more earlier solve the large deformation and distortion and describe the local characteristic (such as stress locality et al.) more facilely.In this paper, the equations of the 3-demensions large deformation in the elasto-plastic interface problem cooperating with the analysis of Meshless method are calculated and shown. And later the corresponding interface-searching computer program is developed and is put to communicate the whole computer program, which is made to analyze the elasto-plastic large deformation with the meshless method. Lastly, several related examples are given. The results show effective and good agreement.It is well known to us that the interface-searching algorithm is greatly important in the analysis of interface problem. In this paper, a new interface-searching algorithm-Boundary Cell Method (BCM) based on the fact that interface happens on the boundary surface is presented particularly. BCM is planned to find only the boundary cells and boundary points so as to save much CPU time which traditional bucket algorithm must pay for the finding all the points inside and outside the object. Especially, in huge and complicate 3-demensions interface problems and the problems which involve the changing from non-boundary points into boundary points, the BCM show greater effectiveness in the credibility and the practicality.