Plane penetration of uterine muscle by intrauterine shields

A finite element approach is used to predict stress and deformation states of uterine muscle tissue under plane strain indentation by a flexible shield. Realistic, one-dimensional "punch" elements at the shield edges assure that muscle shear stresses remain bounded within experimentally measured values. For typical tissue, bearing pressure, deformation flow fields and edge slip stresses leading to tissue damage are calculated. Penetration depth to shield width ratios are up to 3.0. A piecewise linear, elastic approximation to the highly variable, nonlinear mechanical behavior of the tissue is used. Results are applied to the prediction of possible tissue damage by a flexible shield intrauterine contraceptive device, in place and in equilibrium with typical multiparous uteri.