用分数模型连接玻璃态聚合物随速率变化的加载和松弛行为

IF 2.3 3区工程技术 Q2 MECHANICS

Acta Mechanica Pub Date : 2024-07-31 DOI:10.1007/s00707-024-04038-2

Zhouquan Wang, Wei Cai, Changyu Liu, Leixiao Wu

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引用次数: 0

摘要

本文构建了一个分数构成模型，将依赖速率的加载和松弛阶段联系起来。在应变速率效应方面，通过假设加载阶段的微生物生长曲线为分数阶，建立了松弛时间与应变速率之间的反比关系。通过建立模型参数与初始应力之间的关系，成功描述了玻璃态聚合物在不同应变速率下的异常应力松弛行为。应用不同应变速率和初始松弛应变的数值结果验证了所提出的模型。与现有模型相比，所提出的分数模型具有更高的精度。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

$Connecting rate-dependent loading and relaxation behaviors of glassy polymers by fractional models$

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Connecting rate-dependent loading and relaxation behaviors of glassy polymers by fractional models

In this paper, a fractional constitutive model is constructed to link the rate-dependent loading and relaxation stages. As for strain rate effects, an inverse relationship between relaxation time and strain rate is established with assuming fractional order following the microbial growth curve in the loading stage. The anomalous stress relaxation behaviors of glassy polymers under various strain rates are successfully characterized by establishing the relationship between model parameters and initial stress. The proposed model is validated by numerical results applied to various strain rates and initial relaxation strains. Compared with the existing model, the proposed fractional model presents higher accuracy.

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来源期刊

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.