Abstract
Realistic finite element modelling and simulation of neurosurgical
procedures present a formidable challenge. Appropriate, finite deformation,
constitutive model of brain tissue is a prerequisite for such development.
In this paper, a large deformation, linear, viscoelastic model, suitable
for direct use with commercially available finite element software
packages such as ABAQUS is constructed. The proposed constitutive
equation is of polynomial form with time-dependent coefficients.
The model requires four material constants to be identified. The
material constants were evaluated based on unconfined compression
experiment results. The analytical as well as numerical solutions
to the unconfined compression problem are presented. The agreement
between the proposed theoretical model and the experiment is good
for compression levels reaching 30% and for loading velocities varying
over five orders of magnitude. The numerical solution using the finite
element method matched the analytical solution very closely.
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