Heat conduction analysis of heterogeneous objects based on multi-color distance field

The separation of computer aided design (CAD) modeling and finite element analysis (FEA) of heterogeneous objects makes it cumbersome for designers to exchange the data information. In this paper a systematic modeling and analysis for heterogeneous objects based on multi-color distance field was proposed. Firstly, the geometric model of an object was represented by the signed distance field; next, each grid was assigned with material property and material distance field which had the same resolution with geometric distance field was calculated according to material feature; the geometric and material distance fields were then unified, named as multi-color distance field. Then, through sampling the multi-color distance field, boundary and interior nodes were directly as nodes for meshless weighted least-square (MWLS) analysis. Using the moving least-squares approximation scheme as shape function, the MWLS analysis leads to a pure meshless analysis for heterogeneous objects. In the end, the effectiveness of the approach was illustrated by several numerical examples.