A STRESS INTENSITY FACTOR SOLUTION INSPIRED BY SOAP BUBBLES FRAMEWORK

摘要

For the design of aircraft engines in service life it is helpful, in terms of computing time reduction, to perform simulations with simplified plane cracks geometries subjected to simple loads, often polynomial. This work focuses on a realistic method of estimating the stress intensity factor KI based on the physics of the phenomenon. The stress intensity factor solution is determined from finite elements simulations. For each crack geometry, for a given size of the plate in which the crack propagates and for a given stress field applied to the plate, the stress intensity factor is determined with a test matrix. The aim of this paper is to give a methodology which leads to improve the interpolation of tabulated values of KI so that it is more representative of the fracture mechanics. For this, a finite element based approach is used, but with shape functions more adapted to the fracture mechanics problem. The algorithm is inspired by soap bubbles mathematics.