Abstract: Draping and buckling of woven fabric are not simulated with the orthotropic continuum model.So，the multi-scale mechanical model is introduced to develop an integrated numerical analysis model qualified to simulate draping and buckling of woven fabric under gravity load with multi-scale finite element method.Compared with the orthotropic continuum model used in previous literatures，the multi-scale mechanical model reveals objectively mechanical properties of woven fabric.Compared with the traditional finite element method，the basis function of multi-scale finite element method has the advantage of reflecting parameter change in the element，so，the method can efficiently capture the large scale behavior of the solution without resolving all the small scale features by constructing the multi-scale finite element base functions，that are adaptive to the local property of the differential operator.The woven fabric sheet is discretized with 8-node shell elements which are designed for finite deformation and suffice to describe the large rotation of fabric sheet during draping.The result demonstrates that calculation precision is evidently improved with the multi-scale mechanical model，and the simulation result coincides with the experimental result.

Key words: multi-scale, woven fabric, draping, buckling

摘要： 采用机织物的正交各向异性本构模型模拟不出某些悬垂和屈曲现象。为此，引入机织物的多尺度力学模型，建立完整的适合于进行机织物悬垂屈曲模拟的数值分析方法模型，采用多尺度有限元方法模拟其在自重作用下的悬垂及屈曲。与以往采用的正交各向异性力学本构模型相比，多尺度力学模型更加客观地反映了机织物所特有的力学性能；与传统有限单元法相比，多尺度有限单元法的基函数具有能反映单元内参数变化的优点，因此，这种方法能在大尺度上抓住解的小尺度特征，获得较精确的解。采用8结点壳单元离散织物片，这种壳单元为大变形而设计，有能力描述织物片在悬垂中发生的大转动。采用多尺度力学模型的模拟结果显著提高了计算精度，与实验结果吻合较好。

关键词: 多尺度, 机织物, 悬垂, 屈曲