A rectangular linear elastic composite occupying the region \(| x| \leq a\), \(| y| \leq b\), and made of a matrix and a circular inclusion \(r\leq c<\min (a,b)\), \(r^ 2=x^ 2+y^ 2\), possesses four cracks along the coordinate axes. The cracks start from the edges of the rectangle and do not penetrate the inclusion. The matrix and the inclusion have the same isotropic constant elasticities but different coefficients of thermal expansion. The authors show that if the composite is heated by a constant temperature and its boundary is stress-free, then the static thermal stresses inside the body can be obtained with the aid of Airy’s stress function provided an infinite system of linear algebraic equations coupled with two singular integral equations can be solved. A number of undefined symbols and misprints mar the article.