Benchmarking finite element analysis of linear viscoelastic materials using a beam model

IF 2.1 4区材料科学 Q2 MATERIALS SCIENCE, CHARACTERIZATION & TESTING

Mechanics of Time-Dependent Materials Pub Date : 2025-01-07 DOI:10.1007/s11043-024-09759-4

Craig Merrett, Alessandro Baldassarre, Hiren Balsara, Marcias Martinez

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Abstract

The primary objective of this study was to evaluate the use of available off-the-shelf finite element software like ABAQUS Standard™, ANSYS Workbench™, and Sandia National Laboratory Sierra Mechanics™ to model linear viscoelastic materials and compare their results to an analytically exact model. The study makes use of a standard beam under constant extension loading originally proposed by R.H. MacNeal and R.L. Harder in 1984 for testing the accuracy of finite element analysis tools. The results indicate that these finite element codes approximate the viscoelastic effects of the analytical formulation. When mesh and time step convergence studies were performed, the displacement results obtained diverged by \(\pm 6\%\) from the analytical solution for a 3000-hour analysis as stipulated by ASTM D2990 and by \(\pm 16\%\) for a 12-year analysis. The computed results show a continuous divergence between the computational and analytical solutions in time. A parametric study on the effect of Poisson’s ratio on the tip displacement was also considered. The parametric studies suggest that the finite element algorithms apply a constant Poisson’s ratio for viscoelastic case studies.

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用梁模型对线粘弹性材料进行基准有限元分析

本研究的主要目的是评估现有的有限元软件（如ABAQUS Standard™，ANSYS Workbench™和Sandia国家实验室Sierra Mechanics™）对线性粘弹性材料建模的使用情况，并将其结果与解析精确模型进行比较。本研究采用了R.H. MacNeal和R.L. Harder于1984年提出的恒定拉伸荷载下的标准梁，用于测试有限元分析工具的准确性。结果表明，这些有限元程序近似于解析公式的粘弹性效应。当进行网格和时间步收敛研究时，得到的位移结果与ASTM D2990规定的3000小时分析的分析解相差\(\pm 6\%\)，与12年分析的分析解相差\(\pm 16\%\)。计算结果表明，计算解与解析解在时间上存在连续发散。同时考虑了泊松比对叶尖位移影响的参数化研究。参数研究表明，有限元算法适用于粘弹性情况下的恒定泊松比。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Mechanics of Time-Dependent Materials 工程技术-材料科学：表征与测试

CiteScore

4.90

自引率

8.00%

发文量

审稿时长

>12 weeks

期刊介绍： Mechanics of Time-Dependent Materials accepts contributions dealing with the time-dependent mechanical properties of solid polymers, metals, ceramics, concrete, wood, or their composites. It is recognized that certain materials can be in the melt state as function of temperature and/or pressure. Contributions concerned with fundamental issues relating to processing and melt-to-solid transition behaviour are welcome, as are contributions addressing time-dependent failure and fracture phenomena. Manuscripts addressing environmental issues will be considered if they relate to time-dependent mechanical properties. The journal promotes the transfer of knowledge between various disciplines that deal with the properties of time-dependent solid materials but approach these from different angles. Among these disciplines are: Mechanical Engineering, Aerospace Engineering, Chemical Engineering, Rheology, Materials Science, Polymer Physics, Design, and others.