A multi-scale modeling and identification tool for multi-objective design optimization of woven fabrics

机织织物通常被定义为由纤维和基质材料混合而成的纬纱和经纱的交织组合。从最初的二维平面形状到复杂的三维形状的易成形性，以及轻质和高强度和韧性的结合，使机织织物材料在包括航空航天、体育和汽车在内的许多行业中引起了人们的兴趣。人们普遍认为，如果不使用适当的模型来预测机织织物的力学行为，就不可能进行最优和稳健的机织织物设计和材料选择。反过来，要增加结构模型的可靠性，应考虑以下因素。首先，必须考虑到潜在的材料缺陷(通常称为不确定性)，这些缺陷会导致明显的不可重复响应。其次，在成型过程中，通常会遇到组合加载条件(多客观性)，织物模型应该能够表示这种条件下的材料行为。不确定条件下多目标结构模型的开发与集成仍然是一个正在进行的研究，也是本工作的重点。

Woven fabrics are often defined as an interlaced assembly of weft and warp yarns commingled of fiber and matrix materials. The ease of formability from an original two-dimensional planar shape to complex three-dimensional shapes, along with the combination of light weight and high strength and toughness, has made woven fabric materials of interest in a number of industries including aerospace, sports, and automotive. It is widely understood that an optimal and robust design and material selection of woven fabrics is not possible without the prediction of the mechanical behavior of these materials using appropriate models. In turn, to add to the reliability of a fabric model, the following should be taken into account. First, it is essential to account for potential material defects (often referred to as uncertainties) that cause apparent non-repeatable responses. Second, during forming processes, combined loading conditions are normally encountered (multi-objectivity) and the fabric model should be able to represent the material behavior in such conditions. The development and integration of a multi-objective fabric model under uncertainties is still an ongoing research and is the focus of this work.