A Numerical Method for Stress Concentration Problems of Infinite Plates With Many Circular Holes Subjected to Uniaxial Tension

Abstract

The boundary collocation method using the general form of the stress function is proved to be available for the problems of stress concentration in infinite plates with many circular holes. As numerical examples, the problems treated are of infinite plates with two circular holes of unequal diameters, those of infinite plates with four circular holes of equal diameters and of symmetric arrangement, and those with a row of infinite circular holes, all of which are subjected to uniaxial tension. Also the problem of an infinite plate with a row of infinite circular holes subjected to shear is solved. The numerical results are summarized in some diagrams.