A new density‐stiffness interpolation scheme for topology optimization of continuum structures

In this paper, a new density‐stiffness interpolation scheme for topology optimization of continuum structures is proposed. Based on this new scheme, not only the so‐called checkerboard pattern can be eliminated from the final optimal topology, but also the boundary‐smooth effect associated with the traditional sensitivity averaging approach can also be overcome. A proof of the existence of the solution of the optimization problem is also given, therefore mesh independent optimization results can be obtained. Numerical examples illustrate the effectiveness and the advantage of the proposed interpolation scheme.