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arXiv 1708.04492cond-mat.soft
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粘弹特性对胶带间歇剥离前沿动力学的影响

Influence of Visco-elastic Nature on the Intermittent Peel Front Dynamics of the Adhesive Tape

Jagadish Kumar, G. Ananthakrishna

摘要:

我们调查的粘弹性性质的粘合剂上的间歇剥离前动态的影响,通过延长最近推出的模型剥离胶带。由于时间和速率依赖的变形的粘合剂在固定条件下测量,在将适用于不稳定的间歇剥离动力学的粘弹性效应的关键步骤是引入一个动态化方案,消除了明确的时间依赖性的动态变量。我们发现对比的影响,粘弹性的贡献在不同地区的磁带质量,辊的惯性,和拉速度。由于模型的声能耗散取决于剥离前沿的性质及其动态演变,辊惯性和牵引速度的组合效应使得声能对于小带质量和低牵引速度更嘈杂,而对于低带质量、辊惯性的中间值和高牵引速度则是突发式的。通过计算最大李雅普诺夫指数和分析模型声能信号的幅值和持续时间的统计分布来量化变化。观察到单级和两级幂律分布。指数之间的标度关系推导表明,对应于大值的事件大小和持续时间的指数完全由那些小的值。标度关系被发现是满意的,在所有的情况下研究。有趣的是,我们发现只有五种类型的模型声发射信号之间的剥离前配置的众多可能性。

英文摘要:

We investigate the influence of viscoelastic nature of the adhesive on the intermittent peel front dynamics by extending a recently introduced model for peeling of an adhesive tape. As time and rate-dependent deformation of the adhesives are measured in stationary conditions, a crucial step in incorporating the viscoelastic effects applicable to unstable intermittent peel dynamics is the introduction of a dynamization scheme that eliminates the explicit time dependence in terms of dynamical variables. We find contrasting influences of viscoelastic contribution in different regions of tape mass, roller inertia, and pull velocity. As the model acoustic energy dissipated depends on the nature of the peel front and its dynamical evolution, the combined effect of the roller inertia and pull velocity makes the acoustic energy noisier for small tape mass and low-pull velocity while it is burstlike for low-tape mass, intermediate values of the roller inertia and high-pull velocity. The changes are quantified by calculating the largest Lyapunov exponent and analyzing the statistical distributions of the amplitudes and durations of the model acoustic energy signals. Both single and two stage power-law distributions are observed. Scaling relations between the exponents are derived which show that the exponents corresponding to large values of event sizes and durations are completely determined by those for small values. The scaling relations are found to be satisfied in all cases studied. Interestingly, we find only five types of model acoustic emission signals among multitude of possibilities of the peel front configurations.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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