一个对称的液体嘴唇包含在无限的同位素弹性矩阵中
1School of Mechanical and Power Engineering, East China University of Science and Technology, Shanghai, China.
Mathematics and mechanics of solids : MMS
|June 23, 2025
概括
本研究分析了在应力下的弹性材料中含有液体的纳入物. 研究人员发现了外部力量在包容时防止压力积累的条件.
科学领域:
- 固体力学 固体力学是什么
- 连续力学 连续力学
- 材料科学 材料科学 材料科学
背景情况:
- 研究了一个对称的可压缩液体唇包容的平面应变问题.
- 聚焦于一个无限的同otropic弹性矩阵,被 subjected to uniform remote in-plane normal stresses. 在一个无限的同otropic弹性矩阵上,被 subjected to uniform remote in-plane normal stresses. 在一个无限的同otropic弹性矩阵上,被 subjected to uniform remote in-plane normal stresses. 在一个无限的同otropic弹性矩阵上,被 subjected to uniform remote in-plane normal stresses. 在一个无限的同otropic弹性矩阵上,被 subjected to uniform remote in-plane normal stresses.
研究的目的:
- 导出矩阵中的弹性场的封闭式表达式.
- 获得内部水静电张力和模式I压力强度因子在尖端的明确表达式.
主要方法:
- 使用分析函数来描述弹性场.
- 应用了弹性和断裂力学原理.
主要成果:
- 导出了弹性场的封闭式解决方案.
- 内部紧张和压力强度因子的简洁表达式是使用斯凯普顿系数得到的.
- 确定了一个条件,即外部负荷消除了尖端的单一应力场.
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.
- 提供了关于带有液体内含的弹性材料中应力分布和断裂行为的见解.
- 突出了在特定负载场景下在顶峰处存在无压力条件的可能性.
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