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Graded Multiscale Topology Optimization with Periodic Boundary Conditions and Subdomain Coupling

Eric Hondo*

Department of Civil Engineering, Mutara Polytechnic, Vintcent Ave, Mutare, Zimbabwe.

Periodicity:October - December'2024
DOI : https://doi.org/10.26634/jste.13.3.21845

Abstract

This study introduces a comprehensive computational framework for graded multiscale topology optimization (MTO) that integrates periodic boundary conditions (PBCs), localized homogenization, and inter-subdomain coupling to enable advanced structural design. The design domain is partitioned into multiple independent yet interactively coupled subregions, each optimized to host distinct, spatially-tailored microstructures characterized by homogenized elasticity tensors. A tunable coupling parameter wc is incorporated to control stiffness continuity across subdomain interfaces, ensuring mechanical coherence throughout the structure. To address practical fabrication constraints, a projection-based filtering scheme is implemented, enhancing manufacturability without compromising structural performance. Numerical results validate the framework's superiority over conventional Solid Isotropic Material with Penalization (SIMP) and de-homogenization techniques, exhibiting marked enhancements in compliance reduction, material utilization, and stress uniformity.

Keywords

Multiscale Topology Optimization, Homogenization Theory, Periodic Boundary conditions (PBC), Finite Element Method (FEM), Compliance Minimization, Structural Optimization.

How to Cite this Article?

Hondo, E. (2024). Graded Multiscale Topology Optimization with Periodic Boundary Conditions and Subdomain Coupling. i-manager’s Journal on Structural Engineering, 13(3), 12-21. https://doi.org/10.26634/jste.13.3.21845

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