ON THE SUFFICIENCY CONDITIONS FOR THE STABILITY OF BONE REMODELING EQUILIBRIUM

In this technical note a sufficiency condition is established for the stability of a strain-energy-based bone remodeling theory in the speci al case of a beam loaded by an axial force and a bending moment. In a previous report the same condition was shown to be a necessary conditi on for stability in the same situation. The remodeling scheme is one c haracterized by a remodeling stimulus equal to the strain energy densi ty divided by the bulk or apparent density raised to an exponent m as well as an elastic modulus proportional to bulk or apparent density ra ised to an exponent n. In order for a remodeling scheme to be stable f or an elastic beam loaded by an axial force and a bending moment, it i s established that the condition that rn must be greater than n is not only necessary, but also sufficient.