微生物学启发下的非晶玻璃聚合物非线性变阶分数模型

IF 2.3 3区 工程技术 Q2 MECHANICS
Wei Cai, Zhouquan Wang, Yongqi Zhang, Changyu Liu
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引用次数: 0

摘要

本文提出了一种变阶分数模型,用于描述在广泛应用中起关键作用的无定形玻璃态聚合物复杂的非线性温度相关力学行为。在特定温度下,变阶被定义为遵循微生物生长曲线,该曲线由对数生长阶段和衰减阶段组成。这两个阶段在生长率趋近于 0 的概念下自然相连。此外,弹性模量、弛豫时间和温度之间的关系也被纳入到所建立的模型中,以证明温度依赖性。各种实验结果表明,所提出的模型具有良好的特征,这验证了其合理性和可靠性。此外,还探讨了所提模型的预测能力,以验证其有效性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。

Microbiology-inspired nonlinear variable-order fractional model for amorphous glassy polymer

Microbiology-inspired nonlinear variable-order fractional model for amorphous glassy polymer

In this paper, a variable-order fractional model is proposed to characterize the complex nonlinear temperature-dependent mechanical behaviors of amorphous glassy polymers, which play a crucial role in the wide applications. At a specific temperature, the variable order is defined to follow the microbial growth curve, which is consisted of a logarithmic growth stage and decay stage. The two stages are naturally connected on the conception that the growth rate is approaching to 0. The variable order is further physically interpreted based on microscopic mechanism. Furthermore, the relationships between elastic modulus, relaxation time and temperature are incorporated into the established model to demonstrate the temperature dependence. Various experimental results are observed to be well characterized by the proposed model, which validates the rationality and reliability. The predictive ability of the proposed model is also explored to verify its effectiveness.

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来源期刊
Acta Mechanica
Acta Mechanica 物理-力学
CiteScore
4.30
自引率
14.80%
发文量
292
审稿时长
6.9 months
期刊介绍: Since 1965, the international journal Acta Mechanica has been among the leading journals in the field of theoretical and applied mechanics. In addition to the classical fields such as elasticity, plasticity, vibrations, rigid body dynamics, hydrodynamics, and gasdynamics, it also gives special attention to recently developed areas such as non-Newtonian fluid dynamics, micro/nano mechanics, smart materials and structures, and issues at the interface of mechanics and materials. The journal further publishes papers in such related fields as rheology, thermodynamics, and electromagnetic interactions with fluids and solids. In addition, articles in applied mathematics dealing with significant mechanics problems are also welcome.
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