Biomedical Engineering Reference
In-Depth Information
4
Multiield S
urface Bone Remodeling
4.1 Introduction
In Chapter 3, the theoretical and numerical results of internal bone remod-
eling were presented. Extension to multifield surface bone remodeling is
discussed in this chapter. Theoretical predictions of surface bone remod-
eling in the diaphysis of the long bone under various external loads are
made within the framework of adaptive elastic theory. These loads include
external lateral pressure, and electric and thermal loads. Two solutions
are presented for analyzing thermoelectroelastic problems of surface
bone remodeling. The analytical solution that gives explicit formulation is
capable of modeling homogeneous bone materials, and the semianalytical
solution is suitable for analyzing inhomogeneous cases. Numerical results
are presented to verify the proposed formulation and to show the effects
of mechanical, thermal, and electric loads on the surface bone remodel-
ing process. In this chapter, the developments in references 1-3 are briefly
summarized.
4.2 Solution of Surface Modeling for a Homogeneous
Hollow Circular Cylindrical Bone
In this section, analytical solutions for thermoelectroelastic problems of
surface bone remodeling, based on the theory of adaptive elasticity [4], are
presented to study the effects of mechanical, thermal, and electric loads on
the surface bone remodeling process. The solution is used to investigate the
surface bone remodeling process on the basis of assuming a homogeneous
bone material [5].
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