Firoozbakhsh K, Cowin S C
J Biomech Eng. 1981 Nov;103(4):246-52. doi: 10.1115/1.3138288.
In this paper it is argued and partially demonstrated that the features of Pauwels' qualitative theory of functional adaptation of bone tissue are expressed mathematically by the cubic approximation to the theory of internal remodeling presented by Cowin and Hegedus. Complete solutions for the steady stress and steady strain situations in the cubic approximation to the theory of internal remodeling are presented. The cubic remodeling rate equation is shown to correspond closely to the remodeling equation suggested by Kummer for the qualitative theory of Pauwels.
本文认为并部分证明了 Pauwels 骨组织功能适应性定性理论的特征，在数学上由 Cowin 和 Hegedus 提出的内部重塑理论的三次近似来表示。给出了内部重塑理论三次近似中稳态应力和稳态应变情况的完整解。三次重塑速率方程被证明与 Kummer 为 Pauwels 定性理论所提出的重塑方程密切相关。
