Rezoning scheme for the simulation of discrete void formation in coarse two-phase materials

Finite-element simulation of large plastic deformation in heterophase materials

“…Average techniques can be used for elements with low degree polynomials ('form functions'): the function value (on the old net) is weighted with the respective area, the distance or other geometrical entities [27,28]. A different method is to calculate the distribution of the field quantity on the new net by superposition of higher-order interpolation functions [19,29].…”

“…When phase boundaries are to be represented by element edges, semi-automatic net-adaptive procedures must be used to keep the effort of net generation within reasonable limits. Initial nets produced by conventional net generators can be adapted to the microstructure by a controlled movement of the nodal points, leaving the net topology unaffected ('rezoning') [19]. Obviously, in the case of very complex microstructures, net-adaptive algorithms require very high initial net densities in order to be capable of capturing fine microstructural detail [18].…”

“…(1) the base region used and (2) the degree of the interpolation function. The characteristics of the FE formulation lead to special conditions for such interpolations [19].…”