Carretta, Filippo (2026) Implementing a Higher-Order Micropolar Continuum Representation to Emulate Size-Effect Behaviours of Cellular/Metamaterial Lattices. Master's Thesis / Essay, Mechanical Engineering.
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Abstract
This study aims to formulate a continuum representation to emulate the two-dimensional size-effect behaviours of lattices. Micropolar theory reproduces the stiffening behaviour, and weak layers at the free faces reproduce the softening behaviour. The representation was applied to a simplified mandibular implant model. It was simulated using FEniCSx, consisting of six continuum parameters. Two parameters were the bulk mechanical properties, while the next four parameters (two micropolar parameters and two weak layer parameters) were fitted to the size-effect behaviours as simulated directly in ABAQUS. For the isotropic and anisotropic lattices, the continuum representation showed excellent size-effect agreement for the effective shear and tension moduli. However, the effective bending moduli showed large discrepancies for the anisotropic lattices and slight discrepancies for the isotropic lattices. The discrepancies are due to anisotropy and interactions between the micropolar continuum and the weak layers. When applying the optimised continuum representation to the simplified mandibular implant model, the percentage difference stays below 10% for multiple loading directions, which is not the case for other continuum representations. The limitations in the research are that most metamaterial unit cells are anisotropic, thus limiting the scope of the continuum representation. In addition to that, the tuning of the continuum parameters can be a lengthy and non-trivial process
| Item Type: | Thesis (Master's Thesis / Essay) |
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| Supervisor name: | Krushynska, A.O. and Onck, P.R. |
| Degree programme: | Mechanical Engineering |
| Thesis type: | Master's Thesis / Essay |
| Language: | English |
| Date Deposited: | 21 Aug 2026 07:30 |
| Last Modified: | 21 Aug 2026 07:30 |
| URI: | https://fse.studenttheses.ub.rug.nl/id/eprint/37504 |
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