A comparison of deconvolution techniques for stress relaxation.

Holmes AD; Lu WW; Luk KD; Leong JC

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A comparison of deconvolution techniques for stress relaxation.

机译：去卷积技术在应力松弛方面的比较。

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Stress relaxation (or equivalently creep) allows a large range of the relaxation (retardation) spectrum of materials to be examined, particularly at lower frequencies. However, higher frequency components of the relaxation curves (typically of the order of Hertz) are attenuated due to the finite time taken to strain the specimen. This higher frequency information can be recovered by deconvolution of the stress and strain during the loading period. This paper examines the use of three separate deconvolution techniques: numerical (Fourier) deconvolution, semi-analytical deconvolution using a theoretical form of the strain, and deconvolution by a linear approximation method. Both theoretical data (where the exact form of the relaxation function is known) and experimental data were used to assess the accuracy and applicability of the deconvolution methods. All of the deconvolution techniques produced a consistent improvement in the higher frequency data up to the frequencies of the order of Hertz, with the linear approximation method showing better resolution in high-frequency analysis of the theoretical data. When the different deconvolution techniques were applied to experimental data, similar results were found for all three deconvolution techniques. Deconvolution of the stress and strain during loading is a simple and practical method for the recovery of higher frequency data from stress-relaxation experiments.

机译：应力松弛（或等效蠕变）允许检查材料的大范围松弛（延迟）光谱，尤其是在较低频率下。然而，由于使样品应变所需的有限时间，弛豫曲线的高频分量（通常为赫兹量级）被衰减。可以通过在加载期间对应力和应变进行反卷积来恢复此较高频率的信息。本文研究了三种独立的反褶积技术的使用：数值（傅立叶）反褶积，使用应变理论形式的半解析反褶积以及通过线性近似方法进行的反褶积。理论数据（松弛函数的确切形式已知）和实验数据均用于评估反卷积方法的准确性和适用性。所有的去卷积技术都对高频数据进行了持续的改进，直至赫兹量级的频率，而线性逼近方法在理论数据的高频分析中显示出更好的分辨率。当将不同的去卷积技术应用于实验数据时，对于所有三种去卷积技术都发现了相似的结果。加载过程中应力和应变的反卷积是一种简单实用的方法，可以从应力松弛实验中恢复高频数据。

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《Journal of Biomechanics》 |2002年第11期|共5页
作者
Holmes AD; Lu WW; Luk KD; Leong JC;
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正文语种 eng
中图分类医用一般科学;生物力学;
关键词
Relaxation; Methodology; With frequency; Stress; experiment; 松弛; 应激;

机译：Relaxation;Methodology;With frequency;Stress;experiment;松弛;应激;

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1. A comparison of deconvolution techniques for stress relaxation. [J] . Holmes AD, Lu WW, Luk KD, Journal of Biomechanics . 2002,第11期

机译：去卷积技术在应力松弛方面的比较。
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A comparison of deconvolution techniques for stress relaxation.

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