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Asymptotic model of a nonlinear adaptive elastic rod

In this paper we apply the asymptotic expansion method to obtain a nonlinear adaptive elastic rod model. We first consider the model derived in [2, 3] with the modifications proposed in [5], with a remodeling rate equation depending nonlinearly on the strain field and for a thin rod whose cross section is a function of a small parameter. Based on the asymptotic expansion method for the elastic case [6], we prov...