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research-article

The Multiaxial Failure Response of Porcine Trabecular Skull Bone Estimated Using Microstructural Simulations

[+] Author and Article Information
Ziwen Fang

The Penn State Computational Biomechanics Group Department of Mechanical and Nuclear Engineering 320 Leonhard Building, University Park, PA 16802
zpf5016@psu.edu

Allison N Ranslow

The Penn State Computational Biomechanics Group Department of Mechanical and Nuclear Engineering 320 Leonhard Building, University Park, PA 16802
aranslow@gmail.com

Patricia De Tomas

The Penn State Computational Biomechanics Group Department of Mechanical and Nuclear Engineering 320 Leonhard Building, University Park, PA 16802
pattydetomas@gmail.com

Allan Gunnarsson

United States Army Research Laboratory Aberdeen Proving Ground, MD 21001
carey.a.gunnarsson.civ@mail.mil

Tusit Weerasooriya

United States Army Research Laboratory Aberdeen Proving Ground, MD 21001
tusit.weerasooriya.civ@mail.mil

Sikhanda Satapathy

United States Army Research Laboratory Aberdeen Proving Ground, MD 21001
sikhanda.s.satapathy.civ@mail.mil

Kimberly A. Thompson

United States Army Research Laboratory Aberdeen Proving Ground, MD 21001

Reuben Kraft

The Penn State Computational Biomechanics Group Department of Mechanical and Nuclear Engineering Department of Biomedical Engineering 320 Leonhard Building, University Park, PA 16802
reuben.kraft@psu.edu

1Corresponding author.

ASME doi:10.1115/1.4039895 History: Received March 14, 2017; Revised March 16, 2018

Abstract

The development of a multiaxial failure criterion for trabecular skull bone has many clinical and biological implications. This failure criterion would allow for modeling of bone under daily loading scenarios that typically are multiaxial in nature. Some yield criteria have been developed to evaluate the failure of trabecular bone, but there is a little consensus among them. To help gain deeper understanding of multiaxial failure response of trabecular skull bone, we developed 30 microstructural finite element models of porous porcine skull bone and subjected them to multiaxial displacement loading simulations that spanned three-dimensional stress and strain space. High-resolution micro-computed tomography (microCT) scans of porcine trabecular bone were obtained and used to develop the meshes used for finite element simulations. In total, 376 unique multiaxial loading cases were simulated for each of the 30 microstructure models. Then, results from the total of 11,280 simulations were used to develop three-dimensional yield surfaces in strain space. The resulting yield surfaces capture both the geometric and material nonlinearities in the response that are characteristic of porous trabecular bone. From this study, we characterized the overall response of the microstructural failure response with an equation for a parallelepiped that describes the multiaxial failure behavior of porcine trabecular skull bone very well.

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