Abstract
Effective properties of arrangements of strong and weak materials in a checkerboard fashion are computed. Kinematic constraints are imposed so that the displacements are consistent with typical finite element approximations. It is shown that when four-node quatrilateral elements are involved, these constraints result in a numerically induced, artificially high stiffness. This can account for the formation of checkerboard patterns in continuous layout optimization problems of compliance minimization.
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Díaz, A., Sigmund, O. Checkerboard patterns in layout optimization. Structural Optimization 10, 40–45 (1995). https://doi.org/10.1007/BF01743693
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DOI: https://doi.org/10.1007/BF01743693