Related Experiment Video
Updated: Sep 28, 2025

Author Spotlight: Development of a Novel Finite Element Analysis Model for Improved Orthognathic Surgical Techniques
Published on: October 20, 2023
Analysis of relationship between loading condition and cranial cracking pattern using a three-dimensional finite
Yoshimori Kiriyama1, Yudai Sato2, Yota Muramatsu2
1Department of Mechanical Systems Engineering, Kogakuin University, Tokyo, Japan. kiriyama@cc.kogakuin.ac.jp.
This study successfully reproduced cranial hairline cracks using extended finite element analysis (X-FEM) and a forming limit diagram (FLD). Certain crack patterns may help estimate impact conditions on the skull.
Area of Science:
- Biomechanics
- Computational modeling
- Trauma analysis
Background:
- Hairline cranial cracks can result from minor impacts, often seen after falls or collisions.
- Standard finite element analysis struggles to accurately model the specific features of cranial hairline fractures.
- Developing accurate models is crucial for understanding injury mechanisms.
Purpose of the Study:
- To reproduce cranial hairline cracks using advanced computational methods.
- To investigate the relationship between loading conditions and crack formation patterns.
- To assess the potential of computational models for analyzing head injuries.
Main Methods:
- Developed a 3D finite element model of the cranium from CT images, including bone layers and sutures.
- Utilized the extended finite element method (X-FEM) integrated with a forming limit diagram (FLD) to simulate fractures.
- Applied 13 distinct loading scenarios with varying directions and magnitudes to the cranial model.
Main Results:
- Simulated numerous small, radially forming cracks at loading points under all conditions.
- Observed larger cracks under specific loading scenarios.
- Found that crack shapes on the top and left cranium correlated with loading directions, unlike those on the back.
Conclusions:
- Extended finite element analysis (X-FEM) with an embedded forming limit diagram (FLD) effectively reproduced cranial hairline cracks.
- Identified specific crack morphologies as potential indicators for estimating impact loading conditions.
- The developed model offers a valuable tool for analyzing cranial trauma and injury biomechanics.
Related Concept Videos
Stress: General Loading Conditions
The shearing force, possessing potential directionality within the plane of the section, is simplified into two component forces running parallel to the x and y axes....
Relation between Poisson's ratio, Modulus of Elasticity and Modulus of Rigidity
Deformation of Member under Multiple Loadings
In the case of a member with a variable cross-section, the strain is not constant but depends on the position. The deformation of an...
General Case of Eccentric Axial Loading
Consider a member subjected to equal and opposite forces that are applied along a line that does not coincide with the member's neutral axis. In unsymmetrical...
Eccentric Axial Loading in a Plane of Symmetry
Stresses under Combined Loadings
The process begins by slicing the tube at critical points and analyzing the internal forces and stress components at these sections, focusing on the centroid. Normal stresses, generated by axial forces and bending moments, are either compressive or tensile and vary across the section from...

