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This paper reviews the technological importance of the complex buckling of textile fabrics and discusses the limitations of conventional applied mechanics and of the empirical textile approaches. It stresses the importance of the occurrence of membrane strains in double curvature over finite areas, discusses briefly the special characteristics of the mechanical properties of fabrics, and describes the approach to the problem through minimization of the energy of deformation in three-fold buckling, which is the basic form for more complicated buckling patterns. The paper gives an outline of a mechanical analysis directly applicable to isotropic Hookean materials and presents the results of numerical computation, which show the effect of changing parameters. Some observed views of buckling are also included.
Amirbayat et al. (Sun,) studied this question.