par Steinchen, Annie ;Gallez, Dominique ;Sanfeld, Albert
Référence Journal of colloid and interface science, 85, 1, page (5-15)
Publication Publié, 1982-01
Article révisé par les pairs
Résumé : A linear stability analysis for two rheological behaviors of biological or model membranes is performed. The membrane considered is symmetrical, incompressible, and uncharged. No account is taken of mechanical anisotropy. The two fluids adjacent to the membrane are Newtonian viscous fluids. Two viscoelastic behaviors of the membrane phase are studied (1) the Kelvin-Voigt viscoelastic "solid" model and (2) the Maxwell viscoelastic "liquid" model. The mechanical boundary conditions on both faces of the membrane are the transversal momentum balance (Laplace condition) and the longitudinal momentum balance (Marangoni-Levich condition) . The van der Waals attraction forces between the two faces of the membrane are taken into account. For the symmetrical systems considered, the two modes of wavy perturbations of the membrane are uncoupled: the in-phase motion of both surfaces (stretching mode) and the 180° out-of-phase motion (squeezing mode) . The dispersion relation of both modes is solved analytically for the two models, in the limit of long-wavelength perturbations. Comparison with examples of biological membranes instabilities is performed. © 1982.