- Title:
- Numerical solution of dissimilar inclusion problem for square notch with small round corners in plane elasticity
- Author:
Yizhou Chen
- Author Affiliation:
Division of Engineering Mechanics, Jiangsu University, Zhenjiang, P. R. China
- Received:Oct.24, 2022
- Accepted:Nov.22, 2022
- Published:Dec.26, 2022
In this paper, the stress
solution for a square notch with small round corners is studied. The square
notch is composed of two portions, or the matrix and the inclusion. The elastic
property of the inclusion portion is different to that of the matrix. Remote
loading is applied. When the dissimilar inclusion is embedded in the matrix,
the stress state in the inclusion will be changed significantly. The interface
conditions along interface are formulated exactly. Complex variable function method is used to
solve the problem. The complex potentials in the matrix and the inclusion are
assumed in different structure. In the
formulation, the number of the equations is larger than that of the unknowns.
Therefore, the weight residue technique is used to solve the algebraic
equation. The tangential, normal and shear stress components along the
interface from the matrix and inclusion side are evaluated from the solution of
the algebraic equation. In the computation, significant stress concentration
has been found for the tangential stress component.
Dissimiler inclusion, inhomogeneity, complex variable method, weight residue technique, stress concentration factor
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Mech. 2021; 91: 2943-2947