Abstract
We have studied an application of the Voronoi tessellation method in the modeling of open-cell aluminium foam under uniaxial compressive loading. The Voronoi code was merged with computer-aided design (CAD) for converting the polyhedral model into an irregular open-cell cellular structure to create porous samples for compression testing simulations. Numerical simulations of the uniaxial compression uniformly over the upper surface of the sample in the z-axis direction at a constant 20 N load was realised. Samples with three different porosities (30%, 60% and 80%) were studied. A nonlinear elasto-plastic material model with perfect plasticity, without hardening, based on the von Mises yield criterion was applied below 10% strain. Corresponding stress–strain curves were observed and the influence of porosity on deformation mechanism was discussed. Samples with higher porosity exhibited significantly higher normal stress under the same load, and increased stress plateaus. An increase of porosity produced an increase of both compressive and tensile stresses and struts exhibited complex stress fields. Voronoi-based modeling was in accordance with experimental results in the literature in the case of the quasi-static condition and linear elastic region (below 1% strain). Further study is necessary to enable the simulation of real dynamic behaviour under all deformation regimes by using the Voronoi tessellation method.
Highlights
Aluminium foams have became the subject of research interest in recent years due to their unique physical and mechanical properties when compared to fully dense metallic materials [1,2,3,4,5,6].The lightweight structure and properties related to crash behaviour has made it a promising candidate for applications that require good energy and vibration absorption properties during impact [7,8].The automotive industry has a massive use of aluminum foams in many major components
Numerical modelling based on the elastic-plastic deformation behaviour of samples of open-cell aluminium foams revealed that the plateau value and energy absorption increase with decreasing void size and increasing density [33]
Numerical calculations were automatically stopped when the longitudinal strain reached its limit value, keeping the simulation below 10% strain
Summary
Aluminium foams have became the subject of research interest in recent years due to their unique physical and mechanical properties when compared to fully dense metallic materials [1,2,3,4,5,6]. Numerical modelling based on the elastic-plastic deformation behaviour of samples of open-cell aluminium foams revealed that the plateau value and energy absorption increase with decreasing void size and increasing density [33]. Experimental studies pertaining to compressive properties of open-cell Al foams have been realised from different aspects: influence of strain rate on deformation. Materials 2018, 11, x FOR PEER REVIEW different aspects: influence of strain rate on deformation mechanisms [40], influence of processing routes and strain rate on compressive response [41], and high strain rate compressive behaviour [42] These experimentally obtained results represent a good foundation for numerical modeling simulations. Converting a highWe strain rateused compressive behaviour [42] These experimentally obtained results for represent a good polyhedral model into an irregular open-cell cellular structure. Methodology and Assumptions along with the influence of porosity on deformation mechanism
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