边缘脱位和圆形无压缩液体内置之间的相互作用
1School of Mechanical and Power Engineering, East China University of Science and Technology, Shanghai, China.
概括
本研究使用复杂变量分析弹性材料中的液体含量. 这项研究揭示了纳入中的压力和应变如何取决于矩阵.
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
- 复杂分析 复杂分析
背景情况:
- 研究含复合材料的机械行为对于了解材料性能至关重要.
- 边缘脱位与内置相互作用,呈现复杂的应力和应变分布.
- 穆舍利什维利的复杂变量公式为解决这些问题提供了一个强大的数学框架.
研究的目的:
- 在无限弹性矩阵中分析边缘位移和圆形液体包含之间的相互作用.
- 为了获得一个封闭形式的解决方案,应用于包括内应力,应变和旋转.
- 为了确定界面上的圆圈应力和位移上的图像力.
主要方法:
- 使用Mushkhelishvili的复杂变量公式.
- 采用分析延续来导出封闭形式的溶液.
- 分析结果的表达式,以寻找应力,应变和硬的身体旋转.
主要成果:
- 获得了内部水静电应力,不均的应变和刚性身体旋转的明确表达式.
- 内部应变和旋转独立于矩阵的弹性特性.
- 内部水静电应力与矩阵的剪切模量成比例,不受其波桑比率的影响.
- 鉴定出了一个不稳定的平衡位置,用于登位移.
结论:
- 液体内置的机械反应主要由其自身的特性和应用的位移决定,周围矩阵的弹性对其的影响有限.
- 这些发现提供了关于异质弹性介质中应力度和变形机制的见解.
- 对于失位的不稳定平衡位置的存在对理解材料故障和塑性变形有影响.
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