Abstract
Lipid membranes including human skin are very interesting because of their mechanical properties. The stress-strain curve of them is far different from the ordinary one expected by the standard elasticity theory. To understand such an extra-ordinary property, we construct a model for membranes by using the notion of Finsler geometry. This model has a degree of freedom for the polymer direction in addition to its positional degrees of freedom. Using Monte Carlo simulation technique, we calculate the tensile stress-strain curve. We find that the numerical results are consistent with the stress-strain diagram of real membranes.
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