A model for brain deformation due to rotation of the skull

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Ljung, C.¹

A model for brain deformation due to rotation of the skull

J Biomech. 1975;8(5):263-274

Affiliations

¹Divison of Solid Mechanics, Lund Institute of Technology, Lund, Sweden
Abstract

The motion of a viscoelastic material enclosed in a rigid shell which is suddenly rotated about its axis is investigated for three kinds of shells: an infinitely long cylindrical shell, a semi-infinite cylindrical shell terminated at one end by a plane wall, and a spherical shell. With the aid of the analytical solutions of these problems, a model is proposed for brain displacement in the vicinity of the superior sagittal sinus. The material properties of brain matter in terms of the shear modulus, G, and the kinematic viscosity, v, are determined experimentally in transient rotation yielding the values G = 1700 Pa and v = 0.009 m²/sec. Simulation of the brain displacement has been performed using the proposed model and the experimentally found material parameters.
Links

DOI: 10.1016/0021-9290(75)90078-0

PubMed: 1184597

WoS: A1975AR64700001
History

Received: 1975-01-14

Cited Works (6)

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Cited By (27)

Year	Entry
1982	Aldman B, Ljung C, Thorngren L. Intracranial deformation patterns due to impulsive loading: a model study. In: Proceedings of the 9th International Technical Conference on Experimental Safety Vehicles (ESV). November 1-4, 1982; Kyoto, Japan.269-274.
1980	Ljung C. On scaling in head injury research. In: Proceedings of the 1980 International IRCOBI Conference on the Biomechanics of Impact. September 9-11, 1980; Birmingham, England.209-217.
1990	Thibault LE, Gennarelli TA, Margulies SS, Marcus J, Eppinger R. The strain dependent pathophysiological consequences of inertial loading on central nervous system tissue. In: Proceedings of the 1990 International IRCOBI Conference on the Biomechanics of Impact. September 12-14, 1990; Lyon, France.191-202.
1993	Thibault LE. Brain injury from the macro to the micro level and back again: what have we learned to date? In: Proceedings of the 1993 International IRCOBI Conference on the Biomechanics of Impact. September 8-10, 1993; Eindhoven, The Netherlands.3-25.
2018	Beavers TJ, Chandra A, Bentil SA. Controlled blunt impact experiments on soft tissue simulants. In: Proceedings of the 14th Ohio State University Injury Biomechanics Symposium. May 20-22, 2018; Columbus, OH.
2003	Takhounts EG, Crandall JR, Darvish K. On the importance of nonlinearity of brain tissue under large deformations. Stapp Car Crash J. 2003;47:79-92. SAE 2003-22-0005.
2004	Nicolle S, Lounis M, Willinger R. Shear properties of brain tissue over a frequency range relevant for automotive impact situations: new experimental results. Stapp Car Crash J. 2004;48:239-258. SAE 2004-22-0011.
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1975	Löwenhielm P. Mathematical simulation of gliding contusions. J Biomech. 1975;8(6):351-356.
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2014	Patton DA. The Biomechanical Determinants of Sports-Related Concussion: Finite Element Simulations of Unhelmeted Head Impacts to Evaluate Kinematic and Tissue-Level Predictors of Injury and Investigate the Design Implications for Soft-Shell Headgear [PhD thesis]. University of New South Wales; March 2014.
1987	Margulies SS. Biomechanics of Traumatic Coma in the Primate [PhD thesis]. Philadelphia, PA: University of Pennsylvania; 1987.
2009	Ibrahim NG. Head Injury Biomechanics in Toddlers: Integrated Clinical, Anthropomorphic Dummy, Animal and Finite Element Model Studies: Implications for Age-Dependence [PhD thesis]. Philadelphia, PA: University of Pennsylvania; 2009.
2016	Bell ED. Thresholds of Stretch-Induced Injury in Cerebral Arteries [PhD thesis]. University of Utah; May 2016.
1998	Takhounts EG. Experimental Determination of Constitutive Equations for Human and Bovine Brain Tissue [PhD thesis]. Charlottesville, VA: University of Virginia; May 1998.
1994	Ruan JS. Impact Biomechanics of Head Injury by Mathematical Modeling [PhD thesis]. Detroit, MI: Wayne State University; 1994.
2001	Zhang L. Computational Biomechanics of Traumatic Brain Injury: An Investigation of Head Impact Response and American Football Head Injury [PhD thesis]. Detroit, MI: Wayne State University; May 2001.