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该研究对描述聚合物行为数学模型选择的影响分析
Anna A Kamenskikh1, Yuriy O Nosov1, Anastasia P Bogdanova1
1Department of Computational Mathematics, Mechanics and Biomechanics, Perm National Research Polytechnic University, 614990 Perm, Russia.
Polymers
|September 9, 2023
概括
本研究探讨了聚合物和复合材料的粘弹性模型,实施了数值方法来确定抗摩擦应用的材料行为系数,并将结果与实验数据进行比较.
科学领域:
- 可变形固体力学 变形固体力学
- 材料科学 材料科学 材料科学
- 计算力学 计算力学 计算力学
背景情况:
- 传统的模型 (弹性,弹性-塑性) 可能无法完全捕捉复杂的材料行为.
- 现代聚合物和复合材料需要先进的建模,用于诸如抗摩擦滑动层等应用.
- 了解静态和动态条件下的材料反应对于性能预测至关重要.
研究的目的:
- 研究粘性弹性的适用性,用于描述聚合物和复合材料的行为.
- 开发和实施使用Prony模型来确定粘弹性材料参数的数值程序.
- 分析离散和材料模型选择对缩问题的数值解决方案的影响.
主要方法:
- 使用可变形固体力学的框架.
- 实施了一个数值程序来识别粘弹性行为的普罗尼模型系数.
- 模拟了球形入器透到聚合物半空间.
- 对系统离散对数值结果的影响进行分析.
主要成果:
- 成功实施了一种数值程序,用于找到粘弹性材料的系数.
- 将数值结果与实验数据进行比较,显示出良好的一致性.
- 分析了离散对数值解决方案准确性的影响.
- 评估了聚合物行为静态与动态描述的影响.
结论:
- 粘弹性模型为描述现代聚合物和复合材料提供了一种可行的方法,特别是用于抗摩擦应用.
- 开发的数值程序有效地确定了Prony模型的材料参数.
- 系统的离散性显著影响了数值模拟的准确性.
- 静态和动态材料描述之间的选择会影响不同问题表述中的聚合物行为分析.
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