Abstract：A transfer procedure plays an important role in adaptive finite element applied to the load history-dependent problems in connection with evolving meshes. Based on the improved mathematical interpolation of distance-weighted average，the method of mapping the calculated mechanical results from the old mesh to the new one is studied as the loads are applied step by step in a calculating process of adaptive finite elements. In order to make transferred results reasonable and reduce calculation time，several measures，for example，selecting known points near an unknown point，paying attention to the direction effect of data point，moderately smoothing the mapped state fields and making the fields including all known points，are employed in the method. According to the characteristics of material changing，excavation face moving and the discontinuity of displacement and stress fields between different materials introduced into the structure at different load steps or excavating steps in the simulation of excavation processes，a procedure for transferring the calculated results of stresses and displacements between different meshes is designed by means of subarea mesh refinement and interpolation. The transfer procedure is useful in adaptive finite element analysis for the simulation of excavation process，the elastoplastic iteration of increment load，and other calculation problems of loading step by step. Finally，numerical examples are presented to demonstrate the applicability of the approach described in this paper. Based on initial stress iteration algorithm of load increment，the results of numerical analyses for elastoplastic hollow cylinder subjected to internal pressure agree with that of analytic solution of the problem. Another numerical simulation for an engineering case of excavation process also shows the transfer procedure is effective.
