Maksymovych O. 3. Determination and optimization of stressed state of anisotropic plates with holes and cracks

Stresses in anisotropic plates. The objective of the research is to develop general algorithms of determination of stressed state of anisotropic plates with holes and curvilinear cracks, to offer methods of founding holes of optimal forms and paths of cracks propagation. The developed algorithm is based on the methods of boundary integral equations, solutions of Green's type and the method of mechanical quadrature. With the help of the developed algorithm typical dependences of the stresses intensity coefficient on the extent of anisotropy of material, on the relative location of holes and cracks, their curvature and the form of the plates. The method of determining the holes of optimal forms with minimal stresses concentration has been worked out, characteristic peculiarities of the paths of cracks propagation in anisotropic materials have been determined. The developed algorithms may be used in research institutes and design offices at stress analysis of the wide range of the composite elements of constructions, at designing process for the choice of optimal holes forms, for paths of cracks propagation prediction in the process of composites failure. The results of the stresses concentration near the holes system have been implemented into engineering practice which is testified by the enclosed statement of implementation.