Shkryl O. Numerical analysis of crack resistance of spatial prismatic and circular bodies of complex form under the influence of surface and voluminous forces of different nature

A rigidity matrix and formulas for node reactions determination of a finite element with a crack on the basis of numerical integration have been constructed, which allows to incluse a body with cracks whose front does not coincide with the canonical form of the guide in the class of objects, which calculation is performed on the basis of a SFEM. The SFEM decoupling ratios are solved for solution of spatial non-stationary heat conduction problem with arbitrary boundary conditions on the ends. A method for determining of the intensity of energy released by computing volumetric invariant integrals has been developed on the basis of the reaction method for the first time. On the basis of the generalized reaction method, a technique for determining of J* by the method of region displacement is developed. Based on the method of integration, a generalization of the SIF definition for the thermosensitive load is generalized. New finite-element relations and methods for determining of fracture mechanics parameters have been developed within the framework of the general problem-oriented computing complex "SFEM" being developed in Structural Mechanic Institute of KNUCA. The reliability and effectiveness of the methodology and implementing software are proved by the solution of a wide range of control examples and by outlays comparing with the published results of other authors. The solution of complex spatial problems, which are relevant when determining the strength of the responsible elements of structures and buildings, has been made.