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环氧树脂中塑性变形、损伤和松弛的多尺度建模

Multi-Scale Modelling of Plastic Deformation, Damage and Relaxation in Epoxy Resins.

作者信息

Konrad Julian, Pfaller Sebastian, Zahn Dirk

机构信息

Lehrstuhl für Theoretische Chemie/Computer Chemie Centrum, Friedrich-Alexander-Universität Erlangen-Nürnberg, Nägelsbachstr. 25, 91052 Erlangen, Germany.

Lehrstuhl für Technische Mechanik, Friedrich-Alexander-Universität Erlangen-Nürnberg, Egerlandstr. 5, 91058 Erlangen, Germany.

出版信息

Polymers (Basel). 2022 Aug 9;14(16):3240. doi: 10.3390/polym14163240.

DOI:10.3390/polym14163240
PMID:36015500
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC9415902/
Abstract

Epoxy resin plasticity and damage was studied from molecular dynamic simulations and interpreted by the help of constitutive modelling. For the latter, we suggested a physically motivated approach that aims at interpolating two well-defined limiting cases; namely, pulling at the vanishing strain rate and very rapid deformation; here, taken as 50% of the speed of sound of the material. In turn, to consider 0.1-10-m/s-scale deformation rates, we employed a simple relaxation model featuring exponential stress decay with a relaxation time of 1.5 ns. As benchmarks, deformation and strain reversal runs were performed by molecular dynamic simulations using two different strain rates. Our analyses show the importance of molecular rearrangements within the epoxy network loops for rationalizing the strain-rate dependence of plasticity and residual stress upon strain reversal. To this end, our constitutive model reasonably reproduced experimental data of elastic and visco-elastic epoxy deformation, along with the maximum stress experienced before fracturing. Moreover, we show the importance of introducing damage elements for mimicking the mechanical behavior of epoxy resins.

摘要

通过分子动力学模拟研究了环氧树脂的塑性和损伤,并借助本构模型进行了解释。对于后者,我们提出了一种基于物理原理的方法,旨在对两种明确的极限情况进行插值;即,在应变速率趋近于零和非常快速变形(此处取材料声速的50%)时的拉伸。反过来,为了考虑0.1 - 10米/秒尺度的变形速率,我们采用了一个简单的松弛模型,其应力呈指数衰减,松弛时间为1.5纳秒。作为基准,使用两种不同的应变速率通过分子动力学模拟进行了变形和应变反转运行。我们的分析表明,环氧网络环内的分子重排对于合理化塑性对应变速率的依赖性以及应变反转时的残余应力至关重要。为此,我们的本构模型合理地再现了弹性和粘弹性环氧变形的实验数据,以及断裂前经历的最大应力。此外,我们展示了引入损伤元素以模拟环氧树脂力学行为的重要性。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/9676/9415902/23f1324fe3d4/polymers-14-03240-g005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/9676/9415902/650815eca23e/polymers-14-03240-g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/9676/9415902/93244cfeaced/polymers-14-03240-g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/9676/9415902/d053e1d5c6c5/polymers-14-03240-g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/9676/9415902/09d3af872fc6/polymers-14-03240-g004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/9676/9415902/23f1324fe3d4/polymers-14-03240-g005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/9676/9415902/650815eca23e/polymers-14-03240-g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/9676/9415902/93244cfeaced/polymers-14-03240-g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/9676/9415902/d053e1d5c6c5/polymers-14-03240-g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/9676/9415902/09d3af872fc6/polymers-14-03240-g004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/9676/9415902/23f1324fe3d4/polymers-14-03240-g005.jpg

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本文引用的文献

1
A Molecular Simulation Approach to Bond Reorganization in Epoxy Resins: From Curing to Deformation and Fracture.一种用于环氧树脂键重组的分子模拟方法:从固化到变形与断裂
ACS Polym Au. 2021 Aug 27;1(3):165-174. doi: 10.1021/acspolymersau.1c00016. eCollection 2021 Dec 8.
2
Characterization of Cure Behavior in Epoxy Using Molecular Dynamics Simulation Compared with Dielectric Analysis and DSC.与介电分析和差示扫描量热法相比,利用分子动力学模拟对环氧树脂固化行为进行表征
Polymers (Basel). 2021 Sep 13;13(18):3085. doi: 10.3390/polym13183085.
3
Chemical Reactions in Classical Molecular Dynamics.
经典分子动力学中的化学反应
Polymer (Guildf). 2017 Oct 16;128:211-217. doi: 10.1016/j.polymer.2017.09.038. Epub 2017 Sep 18.