Mathematical Modeling and Visualization of a Complex Stress State in Case of a Fracture of the Femoral Diaphysis

Abstract

The purpose of this work is to establish the possibility of using the finite element analysis method to study complex stress states in case of a femur fracture with subsequent data visualization. Experimental data were obtained on a solid-state mathematical parametric model of the femur, created on the basis of computer tomogram data, and repeating studies on native biological objects. As a result of mathematical modeling, oblique transverse and helical fractures of the diaphysis of the femur with elements of helical deformation were studied. The application of finite element analysis made it possible to visualize and predict the stresses arising in bone tissue under the impact of a blunt solid object in a complex stress state and the morphological features of femoral shaft fractures under different torsional loading forces of the proximal part of the femur. The data on the mechanism and morphology of the femoral shaft fracture obtained during modeling are confirmed by the results of original full-scale experiments.