The deformation of textile composite reinforcements is strongly conditioned by their fibrous composition. Standard plate and shell theories are based on kinematic assumptions that are not verified for textile reinforcements. A 3D shell approach specific to fibrous reinforcements is proposed. It is based on two specificities: the inextensibility of the fibres and the possible slippage between the fibres. The approach is developed in a continuum-based shell element. The form of the virtual work reflects the specificities of the deformation of the fibrous reinforcements. It takes into account the tensile and bending stiffness of the fibres. Friction between fibres is taken into account in a simple way in connection with bending. The present approach is based on the actual physics of the deformation of the textile reinforcements. It makes it possible to simulate the 3D deformations of textile reinforcements and provides displacements and strains for all points in the fabric thickness and the proper rotations of the material normal.

纺织复合材料增强材料的变形在很大程度上取决于其纤维成分。标准的板壳理论是基于运动学假设的，尚未针对纺织品增强材料进行验证。提出了一种专门针对纤维增强材料的3D壳方法。它基于两个特性：纤维的不可延展性和纤维之间可能的打滑。该方法是在基于连续体的shell元素中开发的。虚拟作品的形式反映了纤维增强材料变形的特殊性。它考虑了纤维的拉伸和弯曲刚度。考虑到弯曲之间的简单方式，考虑了纤维之间的摩擦。本方法基于织物增强材料变形的实际物理原理。