A Mechanical Model for Stress Relaxation of Polylactic Acid/Thermoplastic Polyurethane Blends

Yi-Sheng Jhao, Ouyang Hao, Chien-Chao Huang, Fuqian Yang, Sanboh Lee
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Abstract

Polylactic acid (PLA) is considered a promising biodegradable polymer alternative. Due to its high brittleness, composite materials made by melt blending thermoplastic polyurethane (TPU) with PLA can enhance the toughness of PLA. To understand the forced aging caused by stress relaxation in polymer materials, this study explains the stress relaxation experiments of PLA/TPU blends with different mass ratios under applied strain through mechanical model simulations. The Kelvin representation of the standard linear solid model (SLSM) is used to analyze the stress relaxation data of TPU/PLA blends, successfully explaining that the Young’s moduli (E1 and E2) of springs decrease with increasing temperature and TPU content. The viscosity coefficient of the PLA/TPU blends decreases with increasing temperature, and its reciprocal follows the Arrhenius law. For TPU/PLA blends with increased concentration of TPU, the activation energy for stress relaxation shows a linear decrease, confirmed by the glass transition point measured by DMA, indicating that it does not involve chemical reactions.
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聚乳酸/热塑性聚氨酯混合物应力松弛力学模型
聚乳酸(PLA)被认为是一种前景广阔的可生物降解聚合物替代品。由于聚乳酸的脆性较高,将热塑性聚氨酯(TPU)与聚乳酸熔融共混制成的复合材料可增强聚乳酸的韧性。为了解应力松弛在聚合物材料中引起的强迫老化,本研究通过力学模型模拟,解释了不同质量比的聚乳酸/热塑性聚氨酯共混物在外加应变下的应力松弛实验。本研究采用标准线性固体模型(SLSM)的开尔文表示法来分析 TPU/PLA 混合物的应力松弛数据,成功解释了弹簧的杨氏模量(E1 和 E2)随温度和 TPU 含量的增加而降低。聚乳酸/热塑性聚氨酯混合物的粘度系数随温度升高而降低,其倒数遵循阿伦尼乌斯定律。对于热塑性聚氨酯浓度增加的热塑性聚氨酯/聚乳酸混合物,应力松弛活化能呈线性下降,这一点已通过 DMA 测量的玻璃化转变点得到证实,表明其不涉及化学反应。
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