北京生物醫(yī)學工程

壓入實驗考慮曲率時彈性模量的確定方法

Determination method for the elastic modulus of indented solid with curved surface in indentation test

作者：錢秀清張昆亞張海霞劉志成

單位：首都醫(yī)科大學生物醫(yī)學工程學院（北京100069）

分類號：

出版年·卷·期（頁碼）：2012·31·5（441-444）

摘要：

目的針對平壓頭壓入曲面材料的問題，提出了考慮曲面曲率時彈性模量的確定方法。方法首先利用有限元方法研究曲率對壓入響應的影響，然后利用量綱分析與有限元方法，給出壓入載荷的無量綱表達式，并提出考慮被壓材料為曲面時彈性模量的確定方法，最后用數(shù)值算例驗證方法的有效性。結(jié)果數(shù)值算例結(jié)果顯示，本方法研究曲面材料的識別彈性模量的相對誤差均小于4%，且精度較高。結(jié)論對于角膜、鞏膜等生物軟組織材料，用壓入法確定材料力學特性時，材料表面曲率的影響不可忽略。

Objective For the problem of the indented solid with curved surface using flat punch indentation, a method is proposed to identify the elastic modulus of materials. Methods Firstly, the effect of curvature on the indentation response is studied with the finite element method. Then, according to the dimensional analysis and finite element method, a dimensionless function expression of indention force can be obtained and the elastic modulus can be determined. Finally, the performance of the method is verified by the numerical experiments. Results The results of the numerical examples show that the maximum relative error of the identified elastic modulus of the indented solid with curved surface is 4%, which shows that the identified results are acceptable. Conclusions While the mechanical properties are determined by the indentation test, the effect of the curvature should not be ignored for certain soft tissues, such as cornea and sclera.

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