Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
837999 | Nonlinear Analysis: Real World Applications | 2011 | 7 Pages |
Abstract
In this paper we prove an existence and uniqueness result for a strain-adaptive bone remodeling model that couples the displacements and the apparent density (the porosity) of the bone. The rate of this density at a particular location is described as an objective function, which depends on a particular stimulus at that location. Then, a new version of this problem is considered, based on a regularization on the bone remodeling law by using convolution operators. The existence and uniqueness result is proved by applying classical results for nonlinear parabolic differential inclusions, Gronwall’s inequality and the Banach fixed point theorem.
Related Topics
Physical Sciences and Engineering
Engineering
Engineering (General)
Authors
J.R. Fernández, K.L. Kuttler,