Inspired by the stochastic and dual-phase nature of spongy bone, this work examines the effect of the perturbation on the strain distribution in a single and dual-phase, surface-based cellular structure subjected to quasistatic compression. Each effect (perturbation and the introduction of a second phase) is studied in isolation, as well as in combination, using Digital Image Correlation (DIC) for the analysis of the resulting strain fields. Starting from a periodic, single-phase surface-based cellular structure, aperiodicity was introduced at three different levels, and specimens were designed with a second-phase introduced using a core–shell modeling approach. All designs were fabricated using multi-material extrusion, with ABS and TPU as the two materials used. The specimens were subjected to quasi-static compression until densification, with results showing that the addition of a second phase and aperiodicity were each found to delocalize strain, mitigate sympathetic cell collapse in continuous failure bands, thereby decreasing undulations in the stress plateau region. The dual-phase cellular structure was found to absorb more energy per unit mass and volume when normalized by the Maximum Transmitted Stress (MTS) but this trend was arrested at high levels of aperiodicity. While aperiodicity had a significant, and occasionally detrimental, effect on the behavior of the single-phase cellular structure, its effect on dual-phase cellular structures was far more muted, suggesting the benefits of adding a second-phase to aperiodic structures to improve isotropy without large sensitivities on account of local variations in the degree and nature of aperiodicity.
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