DETERMINATION OF THE FRACTURE RESISTANCE OF AXISYMMETRIC BODIES, TAKING INTO ACCOUNT THE CHANGE OF THE SHAPE

In this paper, a generalization of the modified reaction method for calculating linear and nonlinear parameters of fracture mechanics in mixed problems with development under the influence of external loads of large deformations of plasticity has been carried out. The reliability of the results is substantiated by solving test cases and the results of the calculation of specific objects are given. Possibilities of the methodology for investigating the processes of destruction of this class of objects are largely due to the efficiency of the finite element scheme for obtaining the calculated relations, the method of calculating the parameters of the destruction mechanics. The spatial nature of the problems of the destruction mechanics leads to the necessity of using CEs, which are based on the relations of the theory of elasticity, even in the evaluation of the cracking strength of thin-walled shell objects, not to mention the bodies of a complex structure. It is in these cases that the use of universal CEs developed on the basis of MCCE in the formation of a general discrete design model is particularly evident In the works [3, 4, 12] devoted to the development of effective energy approaches to the determination of the parameters of linear and nonlinear destruction mechanics, the advantage of the reaction method has been convincingly proved with the existing ones. Therefore, further generalization and development of the modified method of reactions to new classes of problems of destructive mechanics, related to the development of methods for mathematical modeling of the development of trunk cracks in the thermosensitive load and form-modification, are sufficiently substantiated and promising. Determining the parameters of local fracture destruction is an important, but partial, problem of fracture mechanics. In practice, there are cases where a small initial small fracture is known and it is necessary to determine the conditions for the destruction of the structure, that is, the critical length of the crack at a given load. At the same time, the correctness of calculating the trajectory of the crack development depends to a large extent on the reliability of the entire calculation, since calculating the parameters of destruction along the trajectory, which does not coincide with the real one, can lead to an incorrect assessment of the bearing capacity of the structure as a whole. It should be noted that a small amount of work is devoted to the simulation of crack development with the help of ITU [2]. Therefore, the development of effective algorithms in this direction is an actual problem of the mechanics of cracks. In this paper, the focus is on the use of universal CEs [8], which allows to optimize discrete models of ITE when calculating the bodies of a complex structure. Determination of the parameters of destructive mechanics is realized by the modified reaction method, whose effectiveness in the case of mixed destruction is demonstrated in [3, 4].