Stress field of a coated arbitrary shape inclusion |
| |
Authors: | Jia-Cheng Luo Cun-Fa Gao |
| |
Institution: | 1.College of Aerospace Engineering,Nanjing University of Aeronautics & Astronautics,Nanjing,China |
| |
Abstract: | This paper presents an effective method for the plane problem of a coated inclusion of arbitrary shape embedded in an isotropic
matrix subjected to uniform stresses at infinity. Based on the complex variable method combined with the expansion of Faber
series and Laurent series, the complex potentials in the matrix, the coating and the arbitrary shape inclusion are given in
the form of series with unknown coefficients. The stress and displacement continuous conditions on the interfaces are then
used to produce a set of linear equations containing all the coefficients. Through solving these linear equations, the complex
potentials are finally obtained in the three phases. Additionally, numerical results are presented and graphically shown to
investigate the influence of inclusion geometry and coating on the stress distribution along the interfaces for the cases
of a coated elliptic, square and triangle inclusions, respectively. It is found that the coating has little effects on the
interface stress for a hard inclusion, while it impacts greatly for a soft inclusion. Especially, it is also found that the
stresses show the nature of intense fluctuations near the corner of the triangle inclusion, since the inclusion in this case
is similar to a wedge. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|