Vabischevich M. Numerical simulation of non-stationary elastic oscillation of 3D bodies with cracks based on semi-analytical finite element method

The effective methodology to simulate crack behaviour and algorithm to determine fracture mechanics parameters for bodies of revolution and prismatic bodies under non-stationary forces are developed using semianalytical finite element method. Theory and features of fracture parameters calculation based on energy approach using a special circular and prismatic finite elements with crack is presented. The analysis of the effectiveness of the proposed algorithms are performed. The results of researches of reliability and efficiency of the semianalytical finite element method for calculating the fracture mechanics parameters in the dynamic problems are presented. Analysis of the crack approximation methodology based on special finite elements with crack to calculate fracture mechanics parameters is performed. Direct method of DSIF determination is shown in comparison with energy approach based on J-integral. The reliability of Reaction method for different schemes of time integration of motion equation are researched. Determination of mixed-mode fracture parameters in the range of dynamic problem is considered.