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首页> 外文期刊>International journal of non-linear mechanics >Large deformation mechanics of a soft elastomeric layer compressed by a finite flat rigid punch for tactile sensor applications
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Large deformation mechanics of a soft elastomeric layer compressed by a finite flat rigid punch for tactile sensor applications

机译：用于触觉传感器应用的由有限的平面刚性冲头压缩的柔软弹性体层的大变形力学

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摘要

In this study, we develop a large deformation analytical-empirical model for a flat finite punch pinching on an incompressible, polymeric layer under plane strain conditions. The model could further advance the predictive capabilities of enhanced tactile sensor response models. The aforementioned model is developed based on the analytical model for an infinitely long layer under uniform compression which has been presented in Kalayeh and Charalambides (2015). Related non-linear finite element (FE) simulations with large strain, large deformation assumptions are carried out in this study. Using the FE finite flat punch simulations, the uniform layer compression model is properly adjusted to predicting the finite punch layer response. The mechanics of the polymeric layer in the vicinity of the symmetry plane, under the application of a flat finite rigid punch is fully analyzed and an expression for the indentation force as a function of the applied top surface deformation is developed. The relevance of this result to modeling the non-linear tactile sensor response over a broad sensing range is discussed. The reported results are compared to FE simulations for applied surface deformation levels of up to 40 percent of the layer initial thickness, and punch half-length to layer thickness ratios of 1 to 2. Great agreement is found to exist between the analytical-empirical model and the FE simulations. For completeness, this new semi-analytical model is fully summarized in the Appendix of this work.
机译：在这项研究中，我们针对平面应变条件下不可压缩的聚合物层上的扁平有限冲头，开发了大变形分析-经验模型。该模型可以进一步提高增强的触觉传感器响应模型的预测能力。前述模型是基于均匀压缩下无限长层的解析模型开发的，该模型已在Kalayeh和Charalambides（2015）中提出。在这项研究中，进行了具有大应变，大变形假设的相关非线性有限元（FE）模拟。使用有限元有限冲头仿真，可以对均匀层压缩模型进行适当调整，以预测有限冲头层响应。充分分析了在平坦有限刚性冲头作用下对称平面附近的聚合物层的力学，并得出了压入力随施加的顶表面变形而变化的表达式。讨论了该结果与在较宽的传感范围内对非线性触觉传感器响应进行建模的相关性。将所报告的结果与有限元模拟进行比较，得出施加的表面变形水平最高可达层初始厚度的40％，并且冲头的半长与层厚度之比为1到2。发现分析经验模型之间存在很大的一致性和有限元模拟。为了完整起见，此工作的附录中全面总结了这种新的半分析模型。

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