The Anti-Plane Problem on Composite Materials with Multiple Circular Rigid Inclusions
Yang Banquan(1), Liu Youwen(2), Xue Mengjun(1)
(1, Department of Engineering Mechanics, Armored Force Engineering Institute, Beijing, 100072, China)
(2, Department of Engineering Mechanics, Hunan University, Changsha, 410082, China)

Abstract: According to the principle of interaction among the inclusions in the composite micro-mechanics, complex stress functions that reflect the interaction of multiple circular rigid inclusions randomly distributed in the isotropic martix are constructed by the means of coordinate transformation, then boundary condition of every inclusion is satisfied. By circulation integral, the linear algebraic equations are solved. Under the load of anti-plane shear in the infinite plane of isotropic elastic matrix, the interface stress formula, the numerical results and the graph, which reflect that interface stress maximum varies with the distance between the adjacent inclusions, are obtained.
Keywords: circular rigid inclusions, randomly-distributed, elastic plane, inter face stress maximum, distance between the adjacent inclusions.