Plane Deformation of a Textile Material with Boundary Forces Using Finite Element Method

An approach is proposed to determine the stress-strain state of soft shells having rectangular shape. The finite element method is applied to investigate the plane problem of strains and stresses calculation. The model is based on assuming that the density of strain potential energy of the textile shell material is a function of the macroscopic strain measures of the soft shell. The results obtained from the calculations display that the internal boundary layers begin at the vertices of the aperture. The calculations show that progressive cracks are developed due to the destruction of filaments forming the fabric along the boundary layers. The calculations are characterised by zero approximation and exact estimates of the maximum values of stresses are determined.