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混凝土靶体侵彻中平面应力张量场的场级预测:跨速度图神经算子代理模型

Field-level prediction of mid-plane stress tensor fields in concrete target penetration: a cross-velocity graph neural operator surrogate

Wenpu Du, Peng Zhou, Yunlong Xia, Sinuo Xin, Congcong Zhang, Boyang Zhang, Yi Zhang, Wenzheng Xu

arXiv 2609.10032首次发表:更新:

发表机构

North University of China(中北大学)

机构由 AI 辅助整理,请以论文原文为准。

AI 中文总结

本研究提出跨速度图神经算子代理模型,预测混凝土侵彻中平面应力张量场,建立全尺寸骨料分辨数据库,实现约千倍加速,为决策支持提供方法。

AI 中文摘要

尽管混凝土的抗冲击性能已被广泛研究,但缺乏将细观非均匀性与全场应力张量预测联系起来的框架。使用全尺寸骨料分辨的LS-DYNA模型(弹体直径45毫米,质量2.13千克,靶体直径500毫米×厚度200毫米,网格10毫米)生成数据,并通过构型相似性与已发表的侵彻实验(Frew 2006,Hanchak 1992,Forrestal 1996)进行了验证。数据集包含400个案例(4个冲击速度×100个骨料种子)在X-Z中面上的六分量应力张量场。报告了三个贡献。第一,对最终侵彻状态进行逐案例验证,界定了侵彻深度的静止状态有效性,并将可靠观测量锚定到刚体运动和场级应力演化。第二,场级图神经算子代理模型学习了时变应力场演化,并评估了跨速度留一外推。第三,建立了全尺寸、骨料分辨、跨速度、逐种子的数据库作为可复现资源。100、135和200米/秒的案例在窗口结束时仍在移动(负速度,即回弹),仅一个165米/秒案例停止。因此,除单个停止案例(69.33毫米)外,侵彻深度不作为静止状态标量报告;鼻部节点深度差异被确认为侵蚀后位移积分的数值伪影。单步相对L2误差为0.6977,如实报告;从第11帧到第39帧的自回归滚动约需144毫秒,相对于单核LS-DYNA加速约3.6×10^3至4.3×10^3倍,作为应用价值报告。验证受构型相似性和场级自洽性限制;该框架是在所研究参数空间内的模拟训练决策支持方法。

英文摘要

Although the impact resistance of concrete has been studied extensively, a framework linking mesoscale heterogeneity to full-field stress-tensor prediction has been lacking. Data were generated with a full-scale aggregate-resolved LS-DYNA model (projectile diameter 45 mm, mass 2.13 kg, target diameter 500 mm x thickness 200 mm, mesh 10 mm), verified against published penetration experiments (Frew 2006, Hanchak 1992, Forrestal 1996) by configuration similarity. The dataset contains six-component stress-tensor fields on the X-Z mid-plane for 400 cases (4 impact velocities x 100 aggregate seeds). Three contributions are reported. First, case-by-case verification of the terminal penetration state delimited the rest-state validity of penetration depth and anchored reliable observables to rigid-body motion and field-level stress evolution. Second, a field-level graph neural operator surrogate learned the time-varying stress-field evolution and evaluated cross-velocity leave-one-out extrapolation. Third, the full-scale, aggregate-resolved, cross-velocity, per-seed database was established as a reproducible resource. Cases at 100, 135 and 200 m/s still moved at window end (negative velocity, i.e. rebound), and only one 165 m/s case arrested. Penetration depth is therefore not reported as a rest-state scalar except for the single arrested case (69.33 mm); nose-node depth differences were confirmed as numerical artifacts of displacement integration after erosion. The single-step relative L2 error was 0.6977, reported honestly; autoregressive rollout from frame 11 to 39 took about 144 ms, a speedup of about 3.6x10^3 to 4.3x10^3 relative to single-core LS-DYNA, reported as application value. Validation is bounded by configuration similarity and field-level self-consistency; the framework is a simulation-trained decision-support method within the studied parameter space.

论文原文

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