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ISSN 2753-3239
CCC: 5
PROCEEDINGS OF THE SIXTH INTERNATIONAL CONFERENCE ON SOFT COMPUTING, MACHINE LEARNING AND OPTIMISATION IN CIVIL, STRUCTURAL AND ENVIRONMENTAL ENGINEERING
Edited by: P. Iványi, J. Logo and B.H.V. Topping
Paper 5.4

The effect of non-locality (or size-dependency) on optimum topologies (or material layouts)

M. Tuna1,2, P. Trovalusci1 and N. Fantuzzi2

11Department of Structural and Geotechnical Engineering, Sapienza University of Rome, Italy
2Department of Civil, Chemical, Environmental, and Materials Engineering, University of Bologna, Italy

Full Bibliographic Reference for this paper
M. Tuna, P. Trovalusci, N. Fantuzzi, "The effect of non-locality (or size-dependency) on optimum topologies (or material layouts)", in P. Iványi, J. Logo, B.H.V. Topping, (Editors), "Proceedings of the Sixth International Conference on Soft Computing, Machine Learning and Optimisation in Civil, Structural and Environmental Engineering", Civil-Comp Press, Edinburgh, UK, Online volume: CCC 5, Paper 5.4, 2023, doi:10.4203/ccc.5.5.4
Keywords: non-local, micropolar, Eringen, SIMP, optimization, finite element method.

Abstract
The current work aims to generalize topology optimization problem to scaledependent two-dimensional plates regarding micropolar and Eringen’s theory of elasticity. The material distribution maximizing the structural stiffness are obtained in the framework of solid isotropic material penalization approach, accompanied by density filter and Heaviside projection in order to ensure mesh independent binary solutions. The computational cost is reduced by integrating an element removal and re-introduction strategy. Several benchmark problems are investigated under the assumption of linear elasticity to clearly demonstrate the influence of internal length and different non-locality mechanism on final optimum configurations.

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