北京生物醫(yī)學(xué)工程

肋軟骨黏彈性函數(shù)擬合及廣義Kelvin模型

Viscoelasticity function-fitting and generalized Kelvin model for costal cartilage

作者：張建國史儀凱王文東崔文峰黃磊

單位：西北工業(yè)大學(xué)機電學(xué)院(西安710072)

關(guān)鍵詞：生物力學(xué)；黏彈性；數(shù)據(jù)擬合；廣義Kelvin模型

分類號：

出版年·卷·期（頁碼）：2012·31·6（560-564）

摘要：

目的針對肋軟骨的生物力學(xué)研究較少，且僅限于簡單實驗分析的現(xiàn)狀，本文對肋軟骨黏彈性函數(shù)關(guān)系進行了研究。方法采用最小二乘法得到肋軟骨的應(yīng)力-應(yīng)變函數(shù)、歸一化應(yīng)力松弛函數(shù)，最后確定了松弛函數(shù)。著重構(gòu)建了黏彈性材料廣義Kelvin模型,并用來表述肋軟骨歸一化蠕變函數(shù)，同時對所建函數(shù)擬合精度進行了仿真分析。結(jié)果研究結(jié)果表明，所建函數(shù)及模型能較好地表述肋軟骨生物力學(xué)性能。結(jié)論本文的研究對肋軟骨的三維可視化模型有限元分析和正常生理及損傷機制的研究有重要參考價值。
關(guān)鍵詞生物力學(xué)；黏彈性；數(shù)據(jù)擬合；廣義Kelvin模型

Objective The present biomechanics researches of costal cartilage are not enough and mainly limited to plain experimental analysis. This paper focuses on the function relationship for the viscoelasticity of costal cartilage. Methods We established the stress-strain function and a normalized stress relaxation function and the relaxation function by least-square method. In addition,a generalized Kelvin model for viscoelastic materials was built to express the normalized creep function,and the simulation analysis on fitting accuracy of the functions was carried out. Results The functions and model built in this paper could represent the biomechanics of costal cartilage well. Conclusions This research can be utilized as reference for the finite element analysis of three-dimensional visualization model of costal cartilage and further research on normal physiology and damage mechanism of costal cartilage.

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