Dynamics of a couple-stress fluid membrane

Etude de la dynamique d'une membrane fluide bidimensionnelle resistant a la flexion d'une maniere rappelant les coques elastiques. On unifie l'hydrodynamique d'un fluide viscoelastique bidimensionnel avec la mecanique d'une coque elastique dans l'esprit d'un milieu continu de Cosserat

[1]  T. Sørensen Dynamics and Instability of Fluid Interfaces , 1979 .

[2]  S. Cowin The Theory of Polar Fluids , 1974 .

[3]  L. Scriven,et al.  Angular Momentum of Continua , 1961, Nature.

[4]  J. Oldroyd The effect of interfacial stabilizing films on the elastic and viscous properties of emulsions , 1955, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[5]  Allen M. Waxman A continuum approach to blood vessel growth: axisymmetric elastic structures. , 1981, Journal of theoretical biology.

[6]  J. G. Oldroyd,et al.  The elastic and viscous properties of emulsions and suspensions , 1953, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[7]  Elspeth Richardson,et al.  Deformation and haemolysis of red cells in shear flow , 1974, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[8]  R. Tanner,et al.  Combined simple and sinusoidal shearing in elastic liquids , 1967 .

[9]  A. R. Deemer,et al.  Balance equations and structural models for phase interfaces , 1978 .

[10]  H. Greenspan,et al.  On fluid-mechanical simulations of cell division and movement. , 1978, Journal of theoretical biology.

[11]  J. D. Buckmaster,et al.  THE BUCKLING AND STRETCHING OF A VISCIDA II. EFFECTS OF SURFACE TENSION , 1978 .

[12]  F. H. Garner,et al.  Some factors affecting droplet behaviour in liquid-liquid systems , 1955 .

[13]  P. Bisch,et al.  Hydrodynamic stability of monolayers at fluid—fluid interfaces. II. Dipole interactions , 1979 .

[14]  S. Singer,et al.  The Fluid Mosaic Model of the Structure of Cell Membranes , 1972, Science.

[15]  L. Scriven,et al.  Interfacial instability due to electrical forces in double layers , 1970 .

[16]  John Buckmaster,et al.  The buckling and stretching of a viscida , 1975, Journal of Fluid Mechanics.

[17]  J. Oldroyd On the formulation of rheological equations of state , 1950, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[18]  H. Greenspan On the Deformation of a Viscous Droplet Caused by Variable Surface Tension , 1977 .

[19]  J. Berg,et al.  Surface pressure—area behavior of fatty acid monolayers on multicomponent substrates , 1975 .

[20]  J. Berg,et al.  Surface equations of state for insoluble monolayers on aqueous solutions , 1979 .

[21]  P. M. Naghdi,et al.  A general theory of a Cosserat surface , 1965 .

[22]  E. Evans,et al.  Bending resistance and chemically induced moments in membrane bilayers. , 1974, Biophysical journal.

[23]  H. P. Greenspan,et al.  On the motion of a small viscous droplet that wets a surface , 1978, Journal of Fluid Mechanics.

[24]  J. G. Oldroyd,et al.  Non-Newtonian effects in steady motion of some idealized elastico-viscous liquids , 1958, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[25]  A. Waxman A corotational time derivative for surface tensors, constitutive relations and a new measure of bending strain , 1981 .

[26]  R. Waugh,et al.  Mechano-chemistry of closed, vesicular membrane systems , 1977 .

[27]  R. S. Schechter,et al.  A constitutive equation for a viscoelastic interface , 1978 .

[28]  M. Sheetz,et al.  Biological membranes as bilayer couples. III. Compensatory shape changes induced in membranes , 1976, The Journal of cell biology.

[29]  A. Waxman,et al.  Blood vessel growth as a problem in morphogenesis: a physical theory. , 1981, Microvascular research.

[30]  L. Scriven,et al.  Dynamics of a fluid interface Equation of motion for Newtonian surface fluids , 1960 .

[31]  Dominique Barthès-Biesel,et al.  Motion of a spherical microcapsule freely suspended in a linear shear flow , 1980, Journal of Fluid Mechanics.

[32]  J. C. Slattery Surfaces—I: Momentum and moment-of-momentum balances for moving surfaces , 1964 .

[33]  W. Helfrich Elastic Properties of Lipid Bilayers: Theory and Possible Experiments , 1973, Zeitschrift fur Naturforschung. Teil C: Biochemie, Biophysik, Biologie, Virologie.

[34]  R. K. Jain,et al.  Stability of symmetric and unsymmetric thin liquid films to short and long wavelength perturbations , 1980 .