期刊
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
卷 198, 期 -, 页码 -出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ijmecsci.2021.106386
关键词
rigid line inclusion; surface elasticity; nanoplate; Kirchhoff plate theory; singularity coefficient; exact elastic field
资金
- National Natural Science Foundation of China [12072374, 11672336]
- Natural Science Foundation ofHunan Province [2020JJ4106]
- Fundamental Research Funds for Graduate Student Innovation Project of Hunan Province [CX20200217]
This paper analyzes the mechanical behavior of a Kirchhoff thin nanoplate with a thickness-through rigid line inclusion and surface stresses. The study evaluates the singularity coefficients of bending moments and effective shear forces near the tip of the rigid line inclusion. Results show that stress components exhibit an r(-3/2) singularity near the rigid line inclusion tip, while effective shear forces have an r(-5/2) singularity.
This paper analyzes the mechanical behavior of a Kirchhoff thin nanoplate with surface stresses containing a thickness-through rigid line inclusion. Based on the bulk and surface elasticity, a rigid line inclusion problem of a prescribed displacement is reduced to an associated mixed boundary value problem. By using the Fourier transform, the problem is converted to dual integral equations, then to a weakly singular integral equation with the logarithmic kernel. An exact solution for a rigid line inclusion with an off-nanoplate rigid rotation is obtained and full elastic fields including the deflection, bending moments, and effective shear forces at any position of the nanoplate are determined explicitly in terms of the elementary functions. The singularity coefficients of the bending moments and effective shear forces near the tip of the rigid line inclusion are evaluated. The obtained results show that the bending moments and the stress components exhibit an r(-3/2) singularity near the rigid line inclusion tip, where r is the distance from the rigid line inclusion tip. The effective shear forces have an r(-5/2) singularity. The influence of surface elasticity on the singularity coefficients is examined.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据