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用分析方法和有限元素方法方法对二维六角细胞固体的机械性能进行不确定性量化
Safdar Iqbal1, Marcin Kamiński1
1Department of Structural Mechanics, Faculty of Civil Engineering, Architecture and Environmental Engineering, Lodz University of Technology, 93-590 Lodz, Poland.
Materials (Basel, Switzerland)
|October 29, 2025
概括
本研究比较了用于确定细胞材料特性的分析和数值方法. 有限元法 (FEM) 模拟显示了结果的变化,突出了细胞结构设计中精确建模的需要.
科学领域:
- 材料机械学 材料机械学
- 计算材料科学科学 计算材料科学
- 细胞材料 细胞材料
背景情况:
- 精确的机械性质确定对于细胞材料性能至关重要.
- 分析和数值方法对于理解材料行为和参数效应至关重要.
- 细胞材料需要精确的建模,以进行有效的设计和优化.
研究的目的:
- 为了对2D六角单元单元的机械性能进行分析和数值评估的平面比较.
- 调查几何和材料变化的影响对关键性质,如模量,收益率强度和波桑比率.
- 用相对度来评估同质化性质的不确定性和灵敏性.
主要方法:
- 基于六角单元细胞几何学的机械性质的分析推导.
- 使用四边形,四主导和三角形元素的有限元素方法 (FEM) 模拟.
- 参数扫描涉及细分长度,材料模量和墙壁厚度的变化.
- 使用Bhattacharyya,Kullback-Leibler,Hellinger和Jeffreys的量衡量的不确定性量化.
主要成果:
- 对于扬模块的分析结果和数值结果之间的百分比差异在参数变化中从-8.28%到11.95%不等.
- 产量强度的差异从 -5.53%到10.57%不等,细分长度和壁厚度的变化.
- 对于几何参数变化,Poisson比率显示在 -7.05%和 -12.64%之间存在差异.
- 相对度量测量了同质化性质对输入变量的敏感性.
结论:
- 分析和数值方法在细胞材料特性方面产生了可比但截然不同的结果.
- 几何和材料变化显著影响属性预测的准确性.
- 精确的建模和不确定性评估对于可靠的细胞结构设计和优化至关重要.
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