Fracture of random central force networks under tension: the stretched net model of the erythrocyte membrane skeleton

Abstract

A random central force network model of the erythrocyte membrane skeleton is constructed by the relaxation of a bond diluted triangular lattice of Hooke's law springs under tension. The fracture of such a network is studied numerically by including a maximum value, Lb, for the extension of any spring before irreversible breakage. The model shows a mechanical instability for values of Lb less than a well defined critical value at any bond fraction above the percolation threshold. For undeformed networks that are mechanically stable, the fracture characteristics under an applied strain can be quantified as a function of Lb, the bond fraction and the type of sample deformation.