A multi-scale analytical methodology is presented for the prediction of the mechanical properties of 3D-printed materials with continuous fibres constructed with the fused filament fabrication (FFF) technique. Initially, in micro-scale, the properties of the individual printed filaments are evaluated using different micro-models. Next, in meso-scale, the effect of voids is taken into account. Apart from the already existent models, a new concentric cylinder approach is presented for the evaluation of the effect of voids for when a transversely isotropic matrix is considered. Finally, the macro-scale properties are approximated by combining plies with different orientations using classical laminate theory (CLT). The methodology is then validated with previously and newly extracted data from numerous experiments.

提出了一种多尺度分析方法，用于预测3D打印材料的机械性能，该材料具有通过熔丝制造（FFF）技术构造的连续纤维。最初，在微观尺度上，使用不同的微观模型评估各个印刷长丝的性能。接下来，在中尺度上，考虑了空隙的影响。除了已经存在的模型外，还提出了一种新的同心圆柱方法，用于评估考虑横向各向同性矩阵时的空隙效应。最后，通过使用经典层压理论（CLT）将具有不同方向的层组合起来，可以估算宏观特性。然后，使用来自众多实验的先前和新提取的数据对方法进行验证。