Analyses of Periodic Arrays of Cracks in Solids under In-plane Shear by BFM

Abstract

This paper is concerned with theoretical analyses of periodic arrays of cracks in solids under in-plane shear. We use proper unit regions, and take the complex stress potentials in Taylor series expansions satisfying the external loads and displacements at the outer edges of the unit regions. We also take Body Force Method (BFM) satisfying the traction-free conditions of the crack edges. Numerical calculations are performed for various combinations of the parameters.