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<p>For the first time, a comprehensive analysis of the statistical distribution of the lap-shear strength (<i>σ</i>) developed at a symmetric interface of amorphous poly(2,6-dimethyl-1,4-phenylene oxide) (PPO) at a temperature of the autohesion origination (<i>T</i><sub>a</sub><sup>origin</sup>) is carried out. After the contact of the two PPO specimens for 24&#xa0;h at a temperature well below the PPO bulk glass transition temperature (<i>T</i><sub>g</sub><sup>b</sup>), at <i>T</i><sub>a</sub><sup>origin</sup> = <i>T</i><sub>g</sub><sup>b</sup> − 126&#xa0;°C, the PPO−PPO interface was self-bonded and thereafter fractured at ambient temperature. The <i>σ</i> distribution dataset <i>σ</i>(<i>n</i>) including <i>n</i> measurements is investigated on its conformity to the Weibull and normal distributions. It is shown that the Weibull and normal probability plots, the Gaussian probability density function histogram, and a number of the standard tests for normality describe the <i>σ</i> distribution with varying degrees of success. Among those, the most favorable statistical results supporting the null hypothesis of normality are obtained in the standard tests for normality (in 6 out of 8 performed). An attempt to describe the distribution curve <i>σ</i>(<i>n</i>) more correctly is undertaken. It is found that the most appropriate distribution forms are the phenomenological logarithmic and exponential relationships log<i>σ</i> ∼ <i>n</i>, <i>σ</i> ∼ <i>e</i><sup>(a + b<i>n</i>)</sup> and <i>σ</i> ∼ (1– <i>e</i><sup>a<i>n</i></sup>) where a and b are the constants. For further treatment of the <i>σ</i> distribution, a new statistical relationship <i>P</i><sub>j</sub> = c + dln<i>σ</i> where <i>P</i><sub>j</sub> is the cumulative probability of failure and c and d are the constants is proposed. It is proposed to use d as a data scatter parameter. A new statistical parameter, d/<i>m</i>, where <i>m</i> is the Weibull modulus is introduced. A comparison with an asymmetric polystyrene–PPO interface is performed.</p>

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New insight into statistics of the autohesion origination in polymers: a symmetric amorphous polyether-polyether interface

  • 期刊论文

  • 发表日期：

    2026年5月26日

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  • Yuri M. Boiko

摘要

For the first time, a comprehensive analysis of the statistical distribution of the lap-shear strength (σ) developed at a symmetric interface of amorphous poly(2,6-dimethyl-1,4-phenylene oxide) (PPO) at a temperature of the autohesion origination (Taorigin) is carried out. After the contact of the two PPO specimens for 24 h at a temperature well below the PPO bulk glass transition temperature (Tgb), at Taorigin = Tgb − 126 °C, the PPO−PPO interface was self-bonded and thereafter fractured at ambient temperature. The σ distribution dataset σ(n) including n measurements is investigated on its conformity to the Weibull and normal distributions. It is shown that the Weibull and normal probability plots, the Gaussian probability density function histogram, and a number of the standard tests for normality describe the σ distribution with varying degrees of success. Among those, the most favorable statistical results supporting the null hypothesis of normality are obtained in the standard tests for normality (in 6 out of 8 performed). An attempt to describe the distribution curve σ(n) more correctly is undertaken. It is found that the most appropriate distribution forms are the phenomenological logarithmic and exponential relationships logσ ∼ n, σ ∼ e(a + bn) and σ ∼ (1– ean) where a and b are the constants. For further treatment of the σ distribution, a new statistical relationship Pj = c + dlnσ where Pj is the cumulative probability of failure and c and d are the constants is proposed. It is proposed to use d as a data scatter parameter. A new statistical parameter, d/m, where m is the Weibull modulus is introduced. A comparison with an asymmetric polystyrene–PPO interface is performed.