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arXiv 2602.16007cond-mat.mtrl-sci
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从原子模拟中随机建模各向异性强度表面

Stochastic Modeling of Anisotropic Strength Surfaces from Atomistic Simulations

Duke University(杜克大学)

Alexander Bonacci, John Dolbow, Johann Guilleminot

AI总结:

本研究提出了一种从原子模拟中随机建模各向异性强度表面的统一框架,通过降维和概率建模表征石墨烯的强度变化。

摘要:

本工作开发了一个统一的框架,用于从分子动力学数据直接推断、表示和统计表征各向异性强度表面。通过大规模拉伸加载模拟生成所有主应力比和加载方向的破坏数据,借助数据驱动的映射将施加的应变率张量与产生的应力联系起来。然后,通过一个受约束的参数公式表示方向依赖的强度表面,其中表面参数通过低维函数编码平滑地随加载角变化。为了部署该框架,我们特别考虑单晶石墨烯的情况,这是一种典型的二维材料,已在文献中被广泛实验和计算表征。对于有缺陷的石墨烯,使用多个随机实现的空位缺陷分布来构建角强度表面的随机族。由于每个各向异性强度表面需要大量的原子采样来构建,因此所得到的族本质上是有限的,这促使使用紧凑编码、降维和概率建模来表征强度变化。通过主成分分析进行降维,揭示了拟合编码表面的压缩潜在表示,其中高斯混合模型用于捕捉缺陷诱导的变异性,包括由聚类空位缺陷引起的罕见异常行为。从该概率模型中采样可以生成新的、物理上可接受的强度表面,并在参数空间和应力空间中构建置信区间。

英文摘要:

This work develops a unified framework for inferring, representing, and statistically characterizing an anisotropic strength surface directly from molecular dynamics data. Large-scale tensile loading simulations are used to generate failure data across all principal stress ratios and loading orientations, facilitated by a data-driven mapping between imposed strain-rate tensors and resulting stresses. The orientation-dependent strength surface is then represented using a constrained parametric formulation in which the surface parameters vary smoothly with loading angle through a low-dimensional functional encoding. To deploy the framework, we specifically consider the case of monocrystalline graphene, which is a prototypical two-dimensional material that has been extensively characterized, both experimentally and computationally, in the literature. For defective graphene, multiple random realizations of vacancy defect distributions are used to construct a stochastic ensemble of angular strength surfaces. Because each anisotropic strength surface requires substantial atomistic sampling to construct, the resulting ensemble is inherently limited in size, motivating the use of compact encoding, dimensionality reduction, and probabilistic modeling to characterize strength variability. Dimensionality reduction via Principal Component Analysis reveals a condensed latent representation of the fitted, encoded surfaces, where a Gaussian mixture model is employed to capture defect-induced variability, including rare outlier behaviors arising from clustered vacancy defects. Sampling from this probabilistic model enables the generation of new, physically admissible strength surfaces and the construction of confidence intervals in both parameter space and stress space. (Abstract shortened to meet arXiv limits.)

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。

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