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Civil-Comp Conferences
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
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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