Application of linear biphasic theory to finite element analysis of head impulse loading

Abstract A finite element model of the human head by linear biphasic theory is developed to study the dynamic response of the human head to impact. Intracranial tissues are modelled as a binary mixture, i.e. the fluid and solid phases. To validate the biphasic finite element formulation, the result of the numerical analysis of a one-dimensional wave propagation problem is compared with that of analytic solution. The permeabilities of the subarachnoid space and brain which may reproduce the same coup and contre-coup CSF (cerebral spinal fluid) pressures from the monophasic model are searched in the specified range of skull permeability. Then the intracranial pressure distributions from the biphasic model for the frontal impact are compared with those from the monophasic model. In general, the biphasic model produces a more injurious intracranial pressure distribution than the monophasic model. The pressure distribution from the biphasic model shows a little higher contre-coup pressure in the frontal lobe than in the occipital region. This finding is in agreement with those clinical findings that contre-coup injuries are more frequently found in the frontal lobe. Another numerical simulation is conducted to characterize the effect of the volume ratios between two phases in the skull and subarachnoid space. From the results, it can be seen that the variation of the volume ratio in the subarachnoid space affects the intracranial pressure distribution of the lateral part while the variation in the skull does not.

[1]  W M Lai,et al.  Drag-induced compression of articular cartilage during a permeation experiment. , 1980, Biorheology.

[2]  Jamshid Ghaboussi,et al.  Variational Formulation of Dynamics of Fluid-Saturated Porous Elastic Solids , 1972 .

[3]  J. K. Gong,et al.  Composition of trabecular and cortical bone , 1964, The Anatomical record.

[4]  T. A. Shugar,et al.  Development of Finite Element Head Injury Model , 1975 .

[5]  V C Mow,et al.  A finite element analysis of the indentation stress-relaxation response of linear biphasic articular cartilage. , 1992, Journal of biomechanical engineering.

[6]  Robert L. Spilker,et al.  A mixed-penalty finite element formulation of the linear biphasic theory for soft tissues , 1990 .

[7]  Evaluation of higher order, mixed and Hermitean finite element procedures for dynamic analysis of saturated porous media using one‐dimensional models , 1986 .

[8]  A F Mak,et al.  A biphasic poroelastic analysis of the flow dependent subcutaneous tissue pressure and compaction due to epidermal loadings: issues in pressure sore. , 1994, Journal of biomechanical engineering.

[9]  C. Truesdell,et al.  The Classical Field Theories , 1960 .

[10]  Clifford C. Chou,et al.  Mathematical modelling, simulation and experimental testing of biomechanical system crash response. , 1976 .

[11]  O. Zienkiewicz,et al.  Dynamic behaviour of saturated porous media; The generalized Biot formulation and its numerical solution , 1984 .

[12]  A I King,et al.  Dynamic response of the human head to impact by three-dimensional finite element analysis. , 1994, Journal of biomechanical engineering.

[13]  R. M. Bowen Part I – Theory of Mixtures , 1976 .

[14]  A K Ommaya,et al.  Mechanical properties of tissues of the nervous system. , 1968, Journal of biomechanics.

[15]  Robert P. Hubbard,et al.  Definition and development of a crash dummy head , 1974 .

[16]  Robert L. Spilker,et al.  Formulation and evaluation of a finite element model for the biphasic model of hydrated soft tissues , 1990 .

[17]  J. C. Rice,et al.  On numerically accurate finite element solutions in the fully plastic range , 1990 .

[18]  T. Belytschko,et al.  A uniform strain hexahedron and quadrilateral with orthogonal hourglass control , 1981 .

[19]  V C Mow,et al.  A transversely isotropic biphasic finite element model of the meniscus. , 1992, Journal of biomechanics.

[20]  M. C. Lee,et al.  Finite element analysis of cerebral contusion. , 1994, Journal of biomechanics.

[21]  Albert I. King,et al.  Finite element modeling of direct head impact , 1993 .

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

[23]  Robert L. Spilker,et al.  A hybrid finite element formulation of the linear biphasic equations for hydrated soft tissue , 1992 .

[24]  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.

[25]  Robert L. Spilker,et al.  A penalty finite element analysis for nonlinear mechanics of biphasic hydrated soft tissue under large deformation , 1991 .

[26]  E D Pellegrino,et al.  The chemical anatomy of bone. I. A comparative study of bone composition in sixteen vertebrates. , 1969, The Journal of bone and joint surgery. American volume.

[27]  Koshiro Ono,et al.  Human Head Tolerance to Sagittal Impact Reliable Estimation Deduced from Experimental Head Injury Using Subhuman Primates and Human Cadaver Skulls , 1980 .

[28]  John R. Rice,et al.  On numerically accurate finite element , 1974 .

[29]  M. Biot MECHANICS OF DEFORMATION AND ACOUSTIC PROPAGATION IN POROUS MEDIA , 1962 .

[30]  R. Spilker,et al.  Indentation analysis of biphasic articular cartilage: nonlinear phenomena under finite deformation. , 1994, Journal of biomechanical engineering.

[31]  E. S. Gurdjian,et al.  Advances in Understanding of Experimental Concussion Mechanisms , 1969 .

[32]  T B Khalil,et al.  Parametric study of head response by finite element modeling. , 1977, Journal of biomechanics.

[33]  D. K. Paul,et al.  Evaluation ofu -w andu - π finite element methods for the dynamic response of saturated porous media using one-dimensional models , 1986 .

[34]  F. Dimaggio,et al.  Dynamic response of a fluid-filled spheroidal shell--an improved model for studying head injury. , 1975, Journal of biomechanics.

[35]  O. C. Zienkiewicz,et al.  An analytical solution for the transient response of saturated porous elastic solids , 1984 .

[36]  V. Mow,et al.  Biphasic creep and stress relaxation of articular cartilage in compression? Theory and experiments. , 1980, Journal of biomechanical engineering.

[37]  B R Simon,et al.  Structural models for human spinal motion segments based on a poroelastic view of the intervertebral disk. , 1985, Journal of biomechanical engineering.

[38]  D. Malkus,et al.  Mixed finite element methods—reduced and selective integration techniques: a unification of concepts , 1990 .

[39]  Alan M. Nahum,et al.  An Experimental Model for Closed Head Impact Injury , 1976 .

[40]  T. Hughes Generalization of selective integration procedures to anisotropic and nonlinear media , 1980 .

[41]  A I King,et al.  Human head dynamic response to side impact by finite element modeling. , 1991, Journal of biomechanical engineering.