在弹性塑料格子弹模型中进行应力分析的扫描过程方法,并应用于网络材料
Ivan Gudoshnikov1, Yang Jiao2, Oleg Makarenkov3
1Czech Academy of Sciences, Institute of Mathematics of the , Žitná 609/25, 115 67 Praha 1, Czech Republic.
Physical review. E
|January 21, 2026
概括
研究人员开发了一个新的计算框架来分析无序网络材料中的非线性机械行为. 这个框架揭示了超均材料表现出增强的刚性和强度,为先进的材料设计提供了洞察力.
科学领域:
- 材料科学 材料科学 材料科学
- 计算力学 计算力学 计算力学
- 非线性动力学是一种非线性动力学.
背景情况:
- 无序的网络材料很普遍,但它们的非线性机械行为难以分析.
- 现有的模型往往难以捕捉这些系统中弹性和可塑性的复杂相互作用.
研究的目的:
- 为了将莫罗的扫描过程框架连接到具有可塑性的格子弹模型.
- 开发一种用于分析弹性-完美塑料格子中的准静态演变和应力的计算方法.
- 研究超均无序网络材料的机械性能.
主要方法:
- 对于弹性-完美塑料格子的准静态演变的衍生方程.
- 构建了一个全面的过程和数值方案,包括一个高效的"跳跃"计算框架.
- 在超均无序网络材料中分析了弹性塑料应力.
主要成果:
- "跳"框架严格跟踪基于扫描过程理论的塑料事件.
- 超均无序网络材料表现出增强的机械性能.
- 增加的超均性与增加的刚性,屈服强度和抗拉强度相关.
结论:
- 开发的扫描过程框架为分析无序材料中的非线性机械行为提供了强大的方法.
- 超均性是提高网络材料机械性能的一个关键设计原则.
- 基于事件的框架可将其推广到其他异质材料系统.
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