Please use this identifier to cite or link to this item: https://www.um.edu.mt/library/oar/handle/123456789/104875
Title: Implementation of periodic boundary conditions for loading of mechanical metamaterials and other complex geometric microstructures using finite element analysis
Authors: Mizzi, Luke
Attard, Daphne
Gatt, Ruben
Dudek, Krzysztof K.
Ellul Grech, Brian
Grima, Joseph N.
Keywords: Boundary element methods
Finite element method
Metamaterials -- Mechanical properties
Auxetics (Materials)
Issue Date: 2021
Publisher: Springer
Citation: Mizzi, L., Attard, D., Gatt, R., Dudek, K. K., Ellul, B., & Grima, J. N. (2021). Implementation of periodic boundary conditions for loading of mechanical metamaterials and other complex geometric microstructures using finite element analysis. Engineering with Computers, 37(3), 1765-1779.
Abstract: The implementation of periodic boundary conditions (PBCs) is one of the most important and difficult steps in the computational analysis of structures and materials. This is especially true in cases such as mechanical metamaterials which typically possess intricate geometries and designs which makes finding and implementing the correct PBCs a difficult challenge. In this work, we analyze one of the most common PBCs implementation technique, as well as implement and validate an alternative generic method which is suitable to simulate any possible 2D microstructural geometry with a quadrilateral unit cell regardless of symmetry and mode of deformation. A detailed schematic of how both these methods can be employed to study 3D systems is also presented.
URI: https://www.um.edu.mt/library/oar/handle/123456789/104875
Appears in Collections:Scholarly Works - FacSciMet



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