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Conical indentation of incompressible rubber-like materials

机译:不可压缩橡胶状材料的锥形压痕

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摘要

In the last decade, the indentation test has become a useful tool for probing mechanical properties of small material volumes. In this context, little has been done for rubber-like materials (elastomers), although there is pressing need to use instrumented indentation in biomechanics and tissue examination. The present work investigates the quasi-static normal instrumented indentation of incompressible rub_ber-like substrates by sharp rigid cones. A second-order elasticity analysis was performed in addition to finite element analysis and showed that the elastic modulus at infinitesimal strains correlates well with the indentation response that is the relation between the applied force and the resulting vertical dis_placement of the indentor's tip. Three hyperelastic models were analyzed: the classic Mooney-Rivlin model, the simple Gent model and the one-term Ogden model. The effect of the angle of the cone was investigated, as well as the influence of surface friction. For blunt cones, the indentation response agrees remarkably well with the prediction of linear elasticity and confirms available experimental results of instrumented Vickers indentation.
机译:在过去的十年中,压痕测试已成为探测小体积材料机械性能的有用工具。在这种情况下,尽管迫切需要在生物力学和组织检查中使用仪器压痕,但对橡胶状材料(弹性体)几乎没有做任何事情。本工作通过尖锐的刚性圆锥体研究了不可压缩的橡胶状基体的准静态法向压痕。除有限元分析外,还进行了二次弹性分析,结果表明,在最小应变下的弹性模量与压痕响应具有很好的相关性,该压痕响应是施加力与压头尖端垂直位移之间的关系。分析了三种超弹性模型:经典的Mooney-Rivlin模型,简单的Gent模型和单项Ogden模型。研究了锥角的影响以及表面摩擦的影响。对于钝锥,压痕响应与线性弹性的预测非常吻合,并证实了仪器化的维氏压痕的可用实验结果。

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