Workshop on Biomechanics and Chemotaxis, Fri, 14 Dec, 2007
Speaker: Martin Kroon
Abstract
An inverse method to estimate the material properties of hyperelastic, inhomogeneous, and anisotropic membranes is proposed. The material description is based on a versatile constitutive model for nonlinearly elastic, anisotropic membranes. This constitutive model includes four material parameters, whose distributions are to be estimated. The estimation method consists of the following major steps: (a) performing experiments on the membrane whose properties is to be determined, (b) defining a corresponding FE model, and (c) minimizing an error function (with respect to the material parameters), which quantifies the discrepancy between experiments and FE predictions. The outcome of the estimations is affected by the density of nodes defined on the membrane, and the number of load levels that the membrane is exposed to during the testing. In a numerical example, we assess the proposed method, by trying to reestablish a reference distribution in a numerical reference membrane. The standard deviation of the estimated material parameters (as compared to the reference field) was within just a few percent.
URL: www.ricam.oeaw.ac.at/specsem/ssqbm/participants/abstracts/index.php
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