准连续方法精度的计算与理论研究
A Computational and Theoretical Investigation of the Accuracy of Quasicontinuum Methods
AI总结：
通过两个基准问题的计算，研究准连续方法在失稳附近的精度，并用一维模型的理论分析解释多数结果，但发现部分偏差需进一步分析。
摘要：
我们给出计算结果，研究几种准连续方法在两个基准问题上的精度——剪切作用下Lomer位错对的稳定性和拉伸载荷下晶格塑性滑移的稳定性。我们发现，针对一维模型问题在失稳附近精度的理论分析能够成功解释这些多维基准问题的大部分计算结果。然而，我们也观察到一些明显的差异，这表明需要额外的理论分析和基准问题来更全面地理解准连续方法的精度。
英文摘要：
We give computational results to study the accuracy of several quasicontinuum methods for two benchmark problems - the stability of a Lomer dislocation pair under shear and the stability of a lattice to plastic slip under tensile loading. We find that our theoretical analysis of the accuracy near instabilities for one-dimensional model problems can successfully explain most of the computational results for these multi-dimensional benchmark problems. However, we also observe some clear discrepancies, which suggest the need for additional theoretical analysis and benchmark problems to more thoroughly understand the accuracy of quasicontinuum methods.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
