An asymptotic model of a nonlinear adaptive elastic plate
نویسندگان
چکیده
In this paper, an asymptotic method is ued to obtain a model of a nonlinear adaptive elastic plate. The plate is one of two geometric solids that can be used in unison to model the trabeculae of bone. The other is the rod. Modelling of the rod has received much attention [8][12], but not the plate. The model for the plate mirrors what has been done for the rod. Asymptotic expansions are formulated for the displacement field and a rate equation governing the deposition and reabsorption of bone tissue. It is shown that both asymptotic expansions can be simplified and certain relationships can be derived from the force balance equation. Characterization of the first few terms of both asymptotic expansions is also presented.
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ورودعنوان ژورنال:
- Mathematical and Computer Modelling
دوره 48 شماره
صفحات -
تاریخ انتشار 2008