中央に一個又は二個のき裂を有する有限板の面外曲げ

Abstract

A solution is presented for the bending problem of an finite plate, by applying S. A. Ambartsumyan's theory which takes into account the influence of plate thickness on the stress distribution around the cracks, under uniformly distributed load over the surface, or the constant bending moments along the two short edges of the plate. The analysis is based on Laurent expansions of the complex potentials. The boundary conditions were chosen as simply supported along the outside edges of the plate and were chosen as simply supported along the outside edges of the analysis of moment and stress intensity factors of an finite plate with a longtudinal crack is applied the concept of distribution of dislocation. The numerical solution of singuler integral equations for dislocation density is carried out by using the Gauss-Chebyshev method developping by F. Erdogan. The variation of moment and stress intensity factors at the tip of one or two cracks are also illustrated.