Investigation of geometric effects on stress intensity factors in three-dimensional bodies

Abstract

The present research conducts a thorough examination of the geometric influences on stress intensity factors (SIF) in three-dimensional solids including intricate planar fissures. The study devised a sophisticated computational approach that combines finite element analysis with adaptive discretization methods and specialised algorithms for predicting fracture propagation. Multiple geometric configurations were examined, including parallelograms, squares, and irregular polygons, with discretization densities varying from 36 to 332 elements.

The computational model used a novel mesh refinement technique in key regions, attaining an accuracy of 98.5% relative to experimental data for conventional geometries. New correlations were identified between geometric characteristics and propagation behaviour, indicating the possibility to decrease SIF by as much as 35% via form optimisation. The established approach offers a reliable instrument for assessing structural integrity and forecasting the lifetime of cracked components, applicable in mechanical and civil engineering.