Modelling and Computation of Silicone Rubber Deformation Adapting Neo-Hookean Constitutive Equation

S. Noor, J. Mahmud
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引用次数: 8

Abstract

In skin research area particularly on the development of skin substitutes or synthetic skin, the determination of the mechanical properties of skin and hyperelastic materials has always been challenging but yet interesting to be explored. To date there is no appropriate model ideally used to denote the skin. Known as a potential skin substitute material, Silicone rubber behaviour is also difficult to characterise. Therefore, this study for the first time attempts to assess the deformation behaviour of silicone rubber materials via the experimental approach, along with modelling and computation adapting hyperelastic constitutive model (i.e. neo-Hookean). Initially, uniaxial tensile test is performed to measure the stress-stretch response silicone rubber based materials employing ASTM D412 testing standards. All samples behave in a similar way and this data is acceptable as it possesses a slight percentage of variance which is less than 5% showing the consistency of the experiment performed. Neo- Hookean hyperelastic constitutive equation has been adopted to represent the materials behaviour in terms of materials constant. The experimental stress-stretch data were used as an input in order to analytically compute the materials constant of silicone rubber. Engineering stress-stretch (δE-λ) curve plot from analytical results has been fitted to the experimental data curve plot. Results indicate that the neo-Hookean model is capable to provide reliable data in describing the deformation behaviour of Silicone Rubber based materials. The neo- Hookean material constant (C1) value is found to be 1.3078 MPa. Therefore it can be concluded that neo-Hookean constitutive model is suitable in representing the deformation behaviour of silicone rubber materials. Also the current study has contributed significantly to the knowledge of potential skin substitute materials especially for silicone rubber materials in modelling and computing its deformation behaviour.
基于新hookean本构方程的硅橡胶变形建模与计算
在皮肤研究领域,特别是在皮肤替代品或合成皮肤的开发中,皮肤和超弹性材料的力学性能的确定一直是一个具有挑战性但又有趣的探索。到目前为止,还没有合适的模型理想地用来表示皮肤。作为一种潜在的皮肤替代材料,硅橡胶的性能也很难描述。因此,本研究首次尝试通过实验方法评估硅橡胶材料的变形行为,并采用超弹性本构模型(即neo-Hookean)进行建模和计算。首先,采用ASTM D412测试标准进行单轴拉伸试验来测量硅橡胶基材料的应力-拉伸响应。所有样本的行为都是相似的,这个数据是可以接受的,因为它有一个小于5%的方差百分比,表明所进行的实验的一致性。采用新Hookean超弹性本构方程用材料常数表示材料的性能。以实验应力-拉伸数据为输入,解析计算硅橡胶的材料常数。由分析结果得到的工程应力-拉伸(δE-λ)曲线与实验数据曲线拟合。结果表明,新hookean模型能够为描述硅橡胶基材料的变形行为提供可靠的数据。新胡克材料常数(C1)值为1.3078 MPa。因此,新hookean本构模型适用于硅橡胶材料的变形行为。此外,目前的研究对潜在的皮肤替代材料,特别是硅橡胶材料在建模和计算其变形行为方面的知识做出了重大贡献。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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