Solution for a crack embedded in thermal dissimilar elliptic inclusion

• We provide a solution for a crack embedded in thermal dissimilar elliptic inclusion.
• The whole medium is composed of a cracked inclusion and an infinite matrix.
• The inclusion and the matrix have different elastic properties and temperature distribution.
• The embedded crack is replaced by a very slender ellipse.
• The complex variable and the conformal mapping are used in the paper.
• From the evaluated stress concentration factor at the crown point, we can get the stress intensity factor at the crack tip from an available equation.

This paper provides a solution for a crack embedded in the thermal dissimilar elliptic inclusion. The whole medium is composed of a cracked inclusion and an infinite matrix. The inclusion and the matrix have different elastic properties and temperature distribution. The embedded crack is replaced by a very slender elliptic contour. The complex variable and the conformal mapping are used in the paper. From the evaluated stress concentration factor at the crown point, we can get the stress intensity factor at the crack tip from an existing equation.