A model of brain shear under impulsive torsional loads

Firoozbakhsh, K. K.<sup>1</sup>; DeSilva, C. N.<sup>2</sup>

Affiliations

¹Department of Mechanical Engineering, Pahlavi University, Shiraz, Iran

²Institut för Biomedizinische Technik, ETH Zürich

Abstract

This investigation is concerned with the theoretical determination of the behavior of the brain when the human head is subjected to torsional loadings. The mathematical model consists of a linear viscoelastic sphere which is bounded by and bonded to a rigid spherical shell. Two problems of torsional wave propagation from the rigid shell into the viscoelastic medium are solved in closed form. The first problem deals with dynamic response of the viscoelastic sphere when the angle of twist of the outer rigid shell about a vertical axis is a given function of time. The second problem is to determine the motion of the shell and viscoelastic sphere when the former is acted upon by a time dependent torque.

Links

DOI: 10.1016/0021-9290(75)90044-5

PubMed: 1126975

WoS: A1975W167200008

History

Received: 1973-09-12

Cited Works (9)

Year	Entry
1972	Gennarelli TA, Thibault LE, Ommaya AK. Pathophysiologic responses to rotational and translational accelerations of the head. In: Proceedings of the 16th Stapp Car Crash Conference. November 8-10, 1972; Detroit, MI. Warrendale, PA: Society of Automotive Engineers:296-308. SAE 720970.
1970	Estes MS, McElhaney JH. Response of brain tissue of compressive loading. ASME Biomechanical & Human Factors Conference; May 31–June 3, 1970; Washington, DC.1-4. ASME Publication 70-BHF-13.
1943	Holbourn AHS. Mechanics of head injuries. Lancet. October 9, 1943;242(6267):438-441.
1970	Galford JE, McElhaney JH. A viscoelastic study of scalp, brain, and dura. J Biomech. 1970;3(2):211-221.
1961	Gurdjian ES, Lissner HR. Photoelastic confirmation of the presence of shear strains at the craniospinal junction in closed head injury. J Neurosurg. January 1961;18(1):58-60.
1968	Jamison CE, MarangonI RD, Glaser AA. Viscoelastic properties of soft tissue by discrete model characterization. J Biomech. January 1968;1(1):33-46.
1973	Bycroft GN. Mathematical model of a head subjected to an angular acceleration. J Biomech. 1973;6(5):487-495.
1966	Ommaya AK, Hirsch AE, Martinez JL. The role of whiplash in cerebral concussion. In: Proceedings of the 10th Stapp Car Crash Conference. November 8-9, 1966; Hollomon Air Force Base, NM. Warrendale, PA: Society of Automotive Engineers:314-324. SAE 660804.
1969	Fallenstein GT, Hulce VD, Melvin JW. Dynamic mechanical properties of human brain tissue. J Biomech. 1969;2(3):217-226.

Cited By (10)

Year	Entry
1992	Margulies SS, Thibault LE. A proposed tolerance criterion for diffuse axonal injury in man. J Biomech. August 1992;25(8):917-923.
1989	Margulies SS, Thibault LE. An analytical model of traumatic diffuse brain injury. J Biomech Eng. August 1989;111(3):241-249.
1993	Galbraith JA, Thibault LE, Matteson DR. Mechanical and electrical responses of the squid giant axon to simple elongation. J Biomech Eng. February 1993;115(1):13-22.
1995	Ueno K, Melvin JW. Finite element model study of head impact based on Hybrid III head acceleration: the effects of rotational and translational acceleration. J Biomech Eng. August 1995;117(3):319-328.
2002	Ivarsson J. Physical Modeling of Brain and Head Kinematics [PhD thesis]. Göteburg, Sweden: Chalmers University of Technology; 2002.
1990	Lee E-S. A Large-Strain, Transient Dynamic Analysis of Head Injury Problems by the Finite Element Method [PhD thesis]. Atlanta, GA: Georgia Institute of Technology; October 1990.
1992	Mendis K. Finite Element Modeling of the Brain to Establish Diffuse Axonal Injury Criteria [PhD thesis]. The Ohio State University; November 1992.
2004	Greaves CY. Spinal Cord Injury Mechanisms: A Finite Element Study [Master's thesis]. Vancouver, BC: University of British Columbia; May 2004.
1987	Margulies SS. Biomechanics of Traumatic Coma in the Primate [PhD thesis]. Philadelphia, PA: University of Pennsylvania; 1987.
1994	Ruan JS. Impact Biomechanics of Head Injury by Mathematical Modeling [PhD thesis]. Detroit, MI: Wayne State University; 1994.