积累-剥离力学 积累-剥离力学
Satya Prakash Pradhan1, Arash Yavari1,2
1School of Civil and Environmental Engineering, Georgia Institute of Technology, Atlanta, GA 30332, USA.
这项研究开发了对积累-消耗物体的几何非线性理论,分析了同时获得和失去质量的大型变形. 它将这些物体模型为依赖时间的里曼的多元体,为复杂的机械行为提供了一个框架.
科学领域:
- 连续力学 连续力学
- 非线性动力学是一种非线性动力学.
- 几何力学 几何力学 几何力学
背景情况:
- 现有的积累力学理论缺乏对同时积累和消去的全面分析.
- 大型变形分析对于理解物体在负载下边界变化至关重要.
研究的目的:
- 为了制定一个广义的几何非线性理论的增积-消耗物体.
- 分析体的机理,同时经历大量变形的积累和消耗.
- 为了提供一个框架来理解这些机构的依赖时间的参考配置.
主要方法:
- 使用时间依赖的里曼的多元体构建一个几何非线性理论.
- 引入附着和脱离时间地图来描述身体的不断变化的配置.
- 该理论应用于经过增积和消耗的厚厚的空心圆柱体.
主要成果:
- 自然的配置是一个依赖时间的里曼的多重体,具有不断变化的度量.
- 积累和消耗速度,以及附着/分离地图,定义了时间依赖的参考配置.
- 计算的变形和应力状态,在和后的增积-剥离过程中,一个空洞的气.
结论:
- 开发的几何理论为分析具有较大变形的积累-消耗物体提供了强大的框架.
- 该模型准确地捕捉了积累,剥离和外部负荷的复杂相互作用.
- 这项工作促进了对连续力学与不断变化的身体相关的基本问题的理解.
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