Keywords: topology optimization, corner contact suppression, objective function, corner contact control, internal holes, results.

Finite element based topology optimization has two important issues that significantly influence the computational results: the appearance of checkerboards and the mesh-dependency of results. In case of the extended-SIMP [1] and the Co-SIMP corner contact controller algorithm [2] the mesh-dependence and the effect of the so called tuning parameters e.g. number of elements, compliance limit, position of the structure, step size parameters, etc. have been presented [3,4]. A summary of all of these methods pointed out that the checkerboard and corner contact suppression problem is solved, but generated a new task: the number of the internal holes of resulting structures has to be controlled as well.

There are known methods for controlling the number and size of holes such as length scale or perimeter control. Thus an effective corner-contact function [5] and a perimeter function were determined in a very simple form. The scope of this paper is to declare the advantages and disadvantages of the functions created, to compare their efficiency.

1

G.I.N. Rozvany, O.M. Querin, Zs. Gáspár, V. Pomezanski, "Extended optimality in topology design", Structural and Multidisciplinary Optimization, 24(3), 257-261, September 2002. doi:10.1007/s00158-002-0235-x

2

V. Pomezanski, O.M. Querin, G.I.N. Rozvany, "CO-SIMP: extended SIMP algorithm with direct COrner COntact COntrol", Structural and Multidisciplinary Optimization, 30(2), 164-168, 2004. doi:10.1007/s00158-005-0514-4

3

V. Pomezanski, "Heuristic Features of the Extended SIMP Algorithm in Topology Optimization", in B.H.V. Topping, L.F. Costa Neves, R.C. Barros, (Editors), "Proceedings of the Twelfth International Conference on Civil, Structural and Environmental Engineering Computing", Civil-Comp Press, Stirlingshire, United Kingdom, paper 62, 2009. doi:10.4203/ccp.91.62

4

V. Pomezanski, "Numerical Examples to present some Heuristic Features of Co-SIMP Algorithm in Topology Optimization", in B.H.V. Topping, J.M. Adam, F.J. Pallarés, R. Bru, M.L. Romero, (Editors), "Proceedings of the Tenth International Conference on Computational Structures Technology", Civil-Comp Press, Stirlingshire, UK, Paper 320, 2010. doi:10.4203/ccp.93.320

5

V. Pomezanski, "Corner Contact Penalty Functions in Plane and in Space", Pollack Periodika, An International Journal for Engineering and Information Sciences, Akadémiai kiadó, Hungary, 2, 39-50, 2007. doi:10.1556/Pollack.2.2007.2.4

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