基于梁架构的建筑材料的混合顺序的近连续性方法,适用于断裂
Kevin Kraschewski1, Gregory P Phlipot2, Dennis M Kochmann1
1Mechanics and Materials Lab, Department of Mechanical and Process Engineering, ETH Zürich, Leonhardstr. 21, 8092 Zurich, Switzerland.
概括
我们开发了一种新的计算方法,用于预测大型光束格子结构的机械和断裂特性. 这种方法准确地模拟了建筑材料中复杂的应力分布和断裂性.
科学领域:
- 计算力学 计算力学 计算力学
- 材料科学 材料科学 材料科学
- 固体力学 固体力学是什么
背景情况:
- 预测大型结构网络的机制,比如基于束的架构材料,需要多规模的计算策略.
- 梁格子的断裂特性需要两级建模,因为离散的梁故障事件和大型模拟领域.
- 经典的同质化在裂纹尖端失败,因为缺少尺度分离.
研究的目的:
- 为光束网络提出一个并发的多尺度技术,特别是一个完全非局部的近似连续 (QC) 多网格配方.
- 为了解决曲主导格子中经典QC配方的局限性.
- 为了能够准确地预测各种梁格子中的断裂性和应力分布.
主要方法:
- 开发了一个完全非局部的近连续 (QC) 多晶格配方用于光束网络.
- 采用符合网格策略,以保持裂纹尖端和其他地方粗粒度的离散分辨率.
- 在粗粒度域中引入了混合顺序的插值,将线性和二次性插值结合起来,以提高在曲占主导地位的情况下的准确性.
主要成果:
- 拟议的QC配方克服了以前方法的缺陷,特别是在曲占主导地位的格子中.
- 证明了对梁格子的断裂性的准确预测.
- 展示了在拉伸和曲主导的网格中捕捉各种应力分布的2D和3D能力.
结论:
- 开发的并发多尺度框架为分析复杂的梁格子结构提供了强大的计算工具.
- 这种方法可以准确地预测建筑材料中的机械和断裂行为.
- 混合顺序插值策略显著提高了QC方法对曲主导场景的适用性.
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