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To improve the convergence for topology optimization of continuum structure, a new material interpolation model is proposed.This function curve parameterized by certain penalty is similar to solid isotropic microstructures with penalization curve.In static topology optimization problem, number of iterations of optimization solution is reduced using the new interpolation function.In low density, the ratio of density to interpolation function is kept in limited value.Localized mode problem is overcome naturally based on the new interpolation scheme in dynamic topology optimization problem.Two-dimensional numerical examples show that the proposed method is feasible and robust in topological optimization design of continuum structure.