A new density-stiffness interpolation scheme for topology optimization of continuum structures. (English) Zbl 1063.74079
Summary: 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 solution of optimization problem is also given, therefore mesh-independent optimization results can be obtained. Numerical examples illustrate the effectiveness of the proposed interpolation scheme.
MSC:
| 74P15 | Topological methods for optimization problems in solid mechanics |
| 74S30 | Other numerical methods in solid mechanics (MSC2010) |
References:
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