Dynamic analysis of a fluid-filled spherical sandwich shell-a model of the human head.

Abstract The human head is modelled as a fluid-filled three-layered spherical sandwich shell. The shell is considered thin and elastic. The fluid is inviscid, irrotational and compressible. The system is subjected to an axisymmetric but arbitrary time-dependent impact. A free vibration analysis of the model is obtained in the form of a frequency equation. The linear equations governing the transient axisymmetric response of the system are derived and they are solved by finite difference techniques. The stress distributions in the skull and the pressure variations in the brain are presented on the basis of the numerical computations.

[1]  Y King Liu.  The Biomechanics of Spinal and Head Impact: Problems of Mathematical Simulation , 1971 .

[2]  Sunder H. Advani,et al.  Transient response of a sphere to torsional loading— A head injury model , 1970 .

[3]  W. Güttinger.  Der Stoßeffekt auf eine Flüssigkeitskugel als Grundlage einer physikalischen Theorie der Entstehung von Gehirnverletzungen , 1950 .

[4]  Ali E Engin,et al.  A Mathematical Model for the Behavior of the Brain When the Human Head Is Subjected to Impulsive Loads , 1971 .

[5]  J. Mcelhaney,et al.  Rarefaction of liquids in a spherical shell due to local radial loads with application to brain damage. , 1972, Journal of biomechanics.

[6]  W. G. Gottenberg,et al.  The Dynamic Response of a Solid, Viscoelastic Sphere to Translational and Rotational Excitation , 1964 .

[7]  J. V. Benedict,et al.  An Analytical Investigation of the Cavitation Hypothesis of Brain Damage , 1970 .

[8]  Pedro V. Marcal,et al.  Elastic Analysis of a Skull , 1973 .

[9]  Y K Liu,et al.  The asymmetric response of a fluid-filled spherical shell--a mathematical simulation of a glancing blow to the head. , 1974, Journal of biomechanics.

[10]  G N Bycroft.  Mathematical model of a head subjected to an angular acceleration. , 1973, Journal of biomechanics.

[11]  C. Sun,et al.  Axisymmetric wave propagation in a solid viscoelastic sphere , 1967 .

[12]  Y. K. Liu,et al.  Axisymmetric response of a fluid-filled sphericaal shell in free vibrations. , 1970, Journal of biomechanics.

[13]  J. Mcelhaney,et al.  Mechanical properties on cranial bone. , 1970, Journal of biomechanics.

[14]  R. Hubbard,et al.  Flexure of layered cranial bone. , 1971, Journal of biomechanics.

[15]  A. E. Engin,et al.  Vibrations of Fluid‐Filled Spherical Shells , 1969 .

[16]  A. E. Engin,et al.  The axisymmetric response of a fluid-filled spherical shell to a local radial impulse--a model for head injury. , 1969, Journal of biomechanics.

[17]  John C. Houbolt,et al.  A recurrence matrix solution for the dynamic response of aircraft in gusts , 1951 .

[18]  J. Mcelhaney,et al.  A viscoelastic study of scalp, brain, and dura. , 1970, Journal of biomechanics.

[19]  R. Rand,et al.  Vibrations of Fluid‐Filled Spherical and Spheroidal Shells , 1967 .

[20]  J. Kihlberg,et al.  MULTIPLICITY OF INJURY IN AUTOMOBILE ACCIDENTS , 1968 .

[21]  Werner Goldsmith,et al.  Dynamic loading of a fluid-filled spherical shell , 1972 .

[22]  M. L. Wenner,et al.  Mathematical model of a head subjected to an axisymmetric impact. , 1973, Journal of biomechanics.

[23]  J. L. Wood,et al.  Dynamic response of human cranial bone. , 1971, Journal of biomechanics.

[24]  W. Goldsmith,et al.  Impact on a simple physical model of the head. , 1973, Journal of biomechanics.