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线性非晶态聚合物的力学行为:分子动力学与有限元模拟的比较

Mechanical behavior of linear amorphous polymers: comparison between molecular dynamics and finite-element simulations.

作者信息

Solar Mathieu, Meyer Hendrik, Gauthier Christian, Fond Christophe, Benzerara Olivier, Schirrer Robert, Baschnagel Jörg

机构信息

Institut Charles Sadron UPR 0022, University of Strasbourg, Campus CNRS de Cronenbourg, 23 Rue du Loess, BP 84047, F-67034 Strasbourg Cedex 2, France.

出版信息

Phys Rev E Stat Nonlin Soft Matter Phys. 2012 Feb;85(2 Pt 1):021808. doi: 10.1103/PhysRevE.85.021808. Epub 2012 Feb 27.

Abstract

This paper studies the rheology of weakly entangled polymer melts and films in the glassy domain and near the rubbery domain using two different methods: molecular dynamics (MD) and finite element (FE) simulations. In a first step, the uniaxial mechanical behavior of a bulk polymer sample is studied by means of particle-based MD simulations. The results are in good agreement with experimental data, and mechanical properties may be computed from the simulations. This uniaxial mechanical behavior is then implemented in FE simulations using an elasto-viscoelasto-viscoplastic constitutive law in a continuum mechanics (CM) approach. In a second step, the mechanical response of a polymer film during an indentation test is modeled with the MD method and with the FE simulations using the same constitutive law. Good agreement is found between the MD and CM results. This work provides evidence in favor of using MD simulations to investigate the local physics of contact mechanics, since the volume elements studied are representative and thus contain enough information about the microstructure of the polymer model, while surface phenomena (adhesion and surface tension) are naturally included in the MD approach.

摘要

本文采用分子动力学(MD)和有限元(FE)模拟这两种不同方法,研究了玻璃态区域和橡胶态区域附近弱缠结聚合物熔体和薄膜的流变学。第一步,通过基于粒子的MD模拟研究块状聚合物样品的单轴力学行为。结果与实验数据吻合良好,并且力学性能可从模拟中计算得出。然后,在连续介质力学(CM)方法中,使用弹黏弹黏塑性本构定律将这种单轴力学行为应用于FE模拟。第二步,用MD方法以及使用相同本构定律的FE模拟对聚合物薄膜在压痕试验期间的力学响应进行建模。MD和CM结果之间吻合良好。这项工作为使用MD模拟研究接触力学的局部物理提供了证据,因为所研究的体积元具有代表性,因而包含了关于聚合物模型微观结构的足够信息,同时MD方法自然地包含了表面现象(黏附和表面张力)。

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