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一个部分解锁的刚性圆性收录,一个液体裂收录占据了解锁部分
1School of Mechanical and Power Engineering, East China University of Science and Technology, Shanghai, China.
Mathematics and mechanics of solids : MMS
|November 4, 2024
概括
我们解决了平面应变问题,用于部分解锁的,充满液体的刚性圆性内置. 这种分析揭示了矩阵内的弹性场.
科学领域:
- 固体力学 固体力学是什么
- 材料科学 材料科学 材料科学
- 应用数学 应用数学 应用数学
背景情况:
- 研究弹性矩阵中的包含对于理解压力下的材料行为至关重要.
- 部分解体的内含物和液体填充的接口带来了复杂的机械挑战.
研究的目的:
- 为了获得一个封闭形式的分析解决方案的平面应变问题,一个部分 debonded 刚性圆的包含填充液体裂.
- 为了确定一个无限等态弹性矩阵中的弹性场,该矩阵受到均的远程内平面应力.
主要方法:
- 边界值问题被简化为具有不连续系数的里曼-希尔伯特问题.
- 通过强加不压缩性和瞬间平衡条件来得出分析解决方案.
- 偶联的线性代数方程被解决以找到未知参数.
主要成果:
- 对于弹性场,获得了一个封闭形式的溶液.
- 液体裂内置的内部水静电张力和圆内置的刚体旋转被独特地确定.
- 描述了刚性包含,液体裂和弹性矩阵之间的相互作用.
结论:
- 该研究为指定的包含问题提供了完整的分析解决方案.
- 该方法为分析力学中类似复杂的接口问题提供了一个框架.
- 了解这些应力场对于设计复合材料和预测故障机制至关重要.
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