Modelling and parameter re-identification of nanoindentation of soft polymers taking into account effects of surface roughness

Modelling and parameter re-identification of nanoindentation of soft polymers taking into account effects of surface roughness
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DOI:
10.1016/j.camwa.2012.04.010
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发表时间:
2012-11-01
影响因子:
2.9
通讯作者:
Diebels, Stefan
Diebels, Stefan
中科院分区:
数学2区
文献类型:
--
作者:
Chen, Zhaoyu;Diebels, Stefan

文献摘要

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本文采用逆方法对聚合物的纳米压痕表征进行了数值研究。明确考虑了表面粗糙度的影响。利用有限元软件ABAQUS (R)对PDMS和硅橡胶两种聚合物的纳米压痕边值问题进行了数值模拟。采用基于数值优化概念的演化策略对模型参数进行了重新识别。通过明确考虑模型中的粗糙度分布,对表面粗糙度效应进行了数值研究。首先,选择表面粗糙度具有简单的表示,仅考虑由正弦函数描述的一级粗糙度。表面粗糙度的影响被量化为正弦参数和压痕参数的函数。此外,还验证了采用多尺度或单尺度的凸点对凸点正弦粗糙度应变能函数可以表征真实表面形貌。配置文件。根据力-位移数据和确定的模型参数,研究了表面粗糙度的影响。这些数值结果有望深入了解实际表面粗糙度对压痕试验结果的影响。(c) 2012 Elsevier Ltd.版权所有。
In this paper the characterisation of polymers by nanoindentation is investigated numerically by the use of the inverse method. Effects of the surface roughness are explicitly considered. The boundary value problems of the nanoindentation of two polymers, PDMS and silicone rubber, are modelled with the FE code ABAQUS (R). The model parameters are re-identified by using an evolution strategy based on the concept of the numerical optimisation. The surface roughness effects are investigated numerically by explicitly taking into account the roughness profile in the model. At first the surface roughness is chosen to have a simple representation considering only one-level of asperities described by a sine function. The influence of the surface roughness is quantified as a function of the sine parameters as well as of the indentation parameters. Moreover, it is verified that the real surface topography can be characterised by using multi-level or simple one-level of protuberance-on-protuberance sinusoidal roughness strain-energy function. profiles. The effects of the surface roughness are investigated with respect to the force-displacement data and the identified model parameters. These numerical results are expected to offer a deep insight into the influence of the real surface roughness at the results of indentation tests. (c) 2012 Elsevier Ltd. All rights reserved.