Gordienko M. Deflected mode of elastic-plastic orthotropic shells of arbitrary curvature with cracks

In dissertational work solved the problem of stress-deformed state of elastic-plastic orthotropic shells of arbitrary curvature of the trough and part-trough cracks. To solve the problems we used the technique based on constructing integral representations displacement, rotation angle and efforts and moments for orthotropic shell cuts in combination with an analog (delta К)- model in which received system of singular integral equations (SIE) for one case and two collinear cracks in the shell. Systems SIE dealt by mechanical quadratures method for functions bounded at the ends of the interval of integration. We also obtain formulas for the values of the size of plastic zone for one and two different types of cracks in the plate. The values for the plates allowed to more accurately determine the appropriate value for the shell. For the first time used a numerical method for finding the size of the plastic zone of cracks in the shell, which allows you to find the unknown value with any precision. Junctions found this method agree well with interchanges found earlier for a curvature of the shell cracks. Established a new relationship between stress-deformed state characteristics and length, type of cracks, the distance between them, shell curvature, the level of stress and orthotropy of material. Shown significant effects of depth and eccentricity cracks, orthotropy of material and .