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Determination of elastic modulus of gelatin gels by indentation experiments

机译:通过压痕实验确定明胶的弹性模量

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摘要

Mechanical characterization of hydrogels is a challenging task because they are much softer than metals, ceramics or polymers.The elastic modulus of hydrogels is within 100 -102kPa range. Because they easily break and slump under their own weight,tensile and bending tests are not suitable configurations to assess elastic modulus. This work reports on the determination of elastic modulus of a gelatin gel by indentation experiments. Indentation is very simple configuration, it is of technological importance and it can be applied at different length scales with high accuracy. The gelatin hydrogel behavior is first calibrated byuniaxial compression and low strain rheological measurements. It behaves as a hyperelastic solid with strain hardening capabilityat large strains and shows no dependence with frequency in the linear viscoelastic range. It can be properly characterized by theFirst order Ogden material model. Indentation experiments are carried out at macro and nanoscales using spherical and flat-endedcylindrical punches. Elastic contact solutions and inverse analysis accounting for hyperelasticity are used to extract the elasticmodulus from experimental force-depth curves. Adhesion between punch and hydrogel influences the indentation response andaffects the accuracy of elastic modulus determination in a larger extent than the assumption of linear elasticity. Adhesion leads tooverestimation of elastic modulus values. The influence of adhesive forces increases with decreasing the length scale. A markedly decay of elastic modulus with increasing maximum load is observed at nanoscale. A hybrid model based on Hertz elastic contact solution and Johnson-Kendal-Roberts model for adhesion is used to determine elastic modulus. This model yieldsan elastic modulus in good agreement with that obtained from uniaxial compression test
机译:水凝胶的机械表征是一项艰巨的任务,因为它们比金属,陶瓷或聚合物软得多。水凝胶的弹性模量在100 -102kPa范围内。由于它们很容易在自重作用下断裂和坍落,因此拉伸和弯曲测试不适用于评估弹性模量。这项工作报道了通过压痕实验确定明胶的弹性模量。压痕是非常简单的配置,具有技术重要性,可以高精度地应用于不同的长度范围。首先通过单轴压缩和低应变流变学测量来校准明胶水凝胶的行为。它在大应变下表现为具有应变硬化能力的超弹性固体,并且在线性粘弹性范围内对频率没有依赖性。一阶Ogden材料模型可以正确地表征它。压痕实验使用球形和扁平端圆柱冲头在宏观和纳米尺度上进行。弹性接触解决方案和考虑超弹性的逆分析用于从实验力-深度曲线提取弹性模量。与线性弹性的假设相比,冲头与水凝胶之间的粘附力会更大程度地影响压痕响应并影响弹性模量确定的准确性。粘附力导致高估了弹性模量值。粘合力的影响随着长度比例的减小而增加。在纳米级观察到弹性模量随着最大载荷的增加而明显下降。基于Hertz弹性接触溶液和Johnson-Kendal-Roberts粘附模型的混合模型用于确定弹性模量。该模型产生的弹性模量与单轴压缩试验得到的吻合良好

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