A semi-empirical pressure analysis for anatomy constrained by elastic support

A mathematical foundation is developed for the computation of pressures exerted on portions of the anatomy constrained by elastic fabric support. General formulae are derived for curvatures of an ellipsoidal model corresponding to orthogonal tension components at the point of measurement. It is found that the pressure contributions from both tension components are significant to first order in the longitudinal variation of circumference over an axial test zone, because while the transverse curvature approaches the zeroth order cylindrical approximation, its longitudinal counterpart does not.