Spherical indentation of soft matter beyond the Hertzian regime: numerical and experimental validation of hyperelastic models.
Spherical indentation of soft matter beyond the Hertzian regime: numerical and experimental validation of hyperelastic models.
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DOI：
10.1007/s10237-008-0139-9
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发表时间：
2009-10
影响因子：
3.5
通讯作者：
Horkay, Ferenc
中科院分区：
文献类型：
--
作者：
Lin, David C.;Shreiber, David I.;Dimitriadis, Emilios K.;Horkay, Ferenc
缺乏实用的非线性弹性接触模型经常导致在分析压痕数据时不恰当地使用赫兹模型，并可能导致与生物原子力显微镜测量结果相关的不一致。我们借助基于多个超弹性应变能函数的有限元方法推导并验证了力-压痕关系。该模型适用于使用微球作为压头、合成橡胶状凝胶、天然小鼠软骨组织和工程软骨压痕的现有数据。对于生物组织，Fung 模型和单项 Ogden 模型实现了数据的最佳拟合，而所有测试的超弹性模型都对合成凝胶产生了良好的拟合。事实证明，赫兹模型对于小变形的合成凝胶（测试样品的应变 < 0.05）是可接受的，但对于生物组织则不然。尽管这一发现支持了普遍接受的观点，即许多软材料在小变形下可以被假设为线弹性，但非线性模型有助于分析本质非线性组织和大应变压痕行为。
The lack of practicable nonlinear elastic contact models frequently compels the inappropriate use of Hertzian models in analyzing indentation data and likely contributes to inconsistencies associated with the results of biological atomic force microscopy measurements. We derived and validated with the aid of the finite element method force-indentation relations based on a number of hyperelastic strain energy functions. The models were applied to existing data from indentation, using microspheres as indenters, of synthetic rubber-like gels, native mouse cartilage tissue, and engineered cartilage. For the biological tissues, the Fung and single-term Ogden models achieved the best fits of the data while all tested hyperelastic models produced good fits for the synthetic gels. The Hertz model proved to be acceptable for the synthetic gels at small deformations (strain < 0.05 for the samples tested), but not for the biological tissues. Although this finding supports the generally accepted view that many soft materials can be assumed to be linear elastic at small deformations, the nonlinear models facilitate analysis of intrinsically nonlinear tissues and large-strain indentation behavior.
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影响因子：
3.2
作者：
GAYLORD, RJ;DOUGLAS, JF
通讯作者：
DOUGLAS, JF
影响因子：
5.5
作者：
GURER, C;TSCHOEGL, NW
通讯作者：
TSCHOEGL, NW
影响因子：
2.6
作者：
Han, WH;Horkay, F;McKenna, GB
通讯作者：
McKenna, GB
影响因子：
2.1
作者：
Herbert, EG;Pharr, GM;Hay, JL
通讯作者：
Hay, JL
影响因子：
3.2
作者：
HORKAY, F;NAGY, M
通讯作者：
NAGY, M