Pipette aspiration of hyperelastic compliant materials: Theoretical analysis, simulations and experiments
Pipette aspiration of hyperelastic compliant materials: Theoretical analysis, simulations and experiments
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DOI：
10.1016/j.jmps.2014.03.012
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发表时间：
2014-08
影响因子：
5.3
通讯作者：
Man-Gong Zhang;Yanping Cao;Guo-Yang Li;Xi-Qiao Feng
中科院分区：
文献类型：
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作者：
Man-Gong Zhang;Yanping Cao;Guo-Yang Li;Xi-Qiao Feng
探讨了超弹性柔顺材料的吸液试验。建立了施加压力与抽吸长度之间的显式表达式，作为从实验响应中推断材料参数的基本关系。研究了四种常用的超弹性本构模型，如neo-Hookean、Mooney-Rivlin、Fung和Arruda-Boyce模型。通过量纲分析和非线性有限元模拟，以显式形式建立了实验响应与超弹性材料本构参数之间的关系，并在此基础上建立了确定材料超弹性性能的逆方法。所提出的方法给出的结果在理论上和数值上都得到了验证。在弹性体（聚二甲基硅氧烷，1:50）和猪肝上进行了实验，验证了逆方法在实际测量中的适用性。
This paper explores the pipette aspiration test of hyperelastic compliant materials. Explicit expressions of the relationship between the imposed pressure and the aspiration length are developed, which serve as fundamental relations to deduce the material parameters from experimental responses. Four commonly used hyperelastic constitutive models, e.g. neo-Hookean, Mooney–Rivlin, Fung, and Arruda–Boyce models, are investigated. Through dimensional analysis and nonlinear finite element simulations, we establish the relations between the experimental responses and the constitutive parameters of hyperelastic materials in explicit form, upon which inverse approaches for determining the hyperelastic properties of materials are developed. The reliability of the results given by the proposed methods has been verified both theoretically and numerically. Experiments have been carried out on an elastomer (polydimethylsiloxane, 1:50) and porcine liver to validate the applicability of the inverse approaches in practical measurements.