超弹性矩形板单向拉伸时微孔的增长<sup>*</sup>

超弹性矩形板单向拉伸时微孔的增长^*

基金项目: * 国家自然科学基金;甘肃省自然科学基金

摘要: 本文研究了含中心微孔的超弹性矩形板在单向拉伸时的有限变形和受力分析.为了考察微孔的存在对矩形板变形和应力的影响,将问题化成一个超弹性环形板的变形和受力分析,并用最小势能原理得到变分近似解.进行了数值计算,分析了微孔的增长情况.
- 超弹性矩形板 /
- 有限变形 /
- 变分近似解 /
- 微孔的增长
Abstract: In the presenl paper, the finite deformation and stress analysis for a hyperelasticrectangular plate with a center void under a uniaxial extension is studied. In order toconsider the effect of the existence of the void on the deformation and stress of theplate, the problem is reduced to the deformation and stress analysis for a hyperelustic annular plate and its approximate solution is obtained from the minimum potential energy principle. The growth of the cavitation iS also nunterically computed and analysed.
- hyperelastic rectangular plate /
- finite deformation /
- growth of void /
- variational principle

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