...
  • 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>Applied Mathematical Modelling >Static analysis of rectangular nano-plate using three-dimensional theory of elasticity
【24h】

Static analysis of rectangular nano-plate using three-dimensional theory of elasticity

机译：利用三维弹性理论对矩形纳米板进行静态分析

获取原文
获取原文并翻译 | 示例
           
页面导航
  • 摘要
  • 著录项
  • 相似文献
  • 相关主题

摘要

Analytical solution for bending of a simply supported rectangular graphene sheets based on three dimensional theory of elasticity, is studied employing non-local continuum mechanics. By applying the Fourier series solution to the both displacement and stress field along the in-plane rectangular coordinates direction, and to the governing equation and constitutive relations, the three-dimensional governing equations in term of displacement components can be obtained. Closed form solution for the bending behavior of nano-plate is obtained by exerting the surface tractions on the state equations. To validate the accuracy and convergence of the present approach, numerical results are presented and compared with the results available in the open literature. Effect of non-local parameter, aspect ratio, thickness to length ratio and half wave numbers in the bending behavior of plate are examined. Furthermore, these results may also serve as benchmark to further results into the two-dimensional plate theories.
机译：基于非局部连续力学，研究了基于三维弹性理论的简单支撑矩形石墨烯片弯曲的解析解。通过将傅里叶级数解应用于沿面内直角坐标方向的位移场和应力场以及控制方程和本构关系，可以得到就位移分量而言的三维控制方程。通过在状态方程上施加表面牵引力，获得了纳米板弯曲行为的闭合形式解。为了验证本方法的准确性和收敛性，提出了数值结果并将其与开放文献中提供的结果进行比较。研究了非局部参数，长宽比，厚度与长度之比和半波数对板弯曲性能的影响。此外，这些结果还可以作为二维板理论中进一步结果的基准。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱：kefu@zhangqiaokeyan.com

京公网安备：11010802029741号 ICP备案号：京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有

  • 客服微信

  • 服务号