“…Another important case that has received somewhat less attention is extensible membranes of zero bending modulus. Membranes arise in various biological and technological applications including membrane aircraft and shape-morphing airfoils (Lian and Shyy, 2005;Hu et al, 2008;Stanford et al, 2008;Jaworski and Gordnier, 2012;Piquee et al, 2018;Schomberg et al, 2018;Tzezana and Breuer, 2019), sails (Colgate, 1996;Kimball, 2009), parachutes (Pepper and Maydew, 1971;Stein et al, 2000), membrane roofs (Haruo, 1975;Knudson, 1991;Sygulski, 1996Sygulski, , 1997Sygulski, , 2007, and the wings of flying animals such as bats (Swartz et al, 1996;Song et al, 2008;Cheney et al, 2015). The majority of previous studies of membranes showed that when they are held with their ends fixed in a uniform oncoming fluid flow, they tend to adopt steady shapes with a single hump (that is, when the flat state is unstable) (Song et al, 2008;Mavroyiakoumou and Alben, 2020).…”