The white matter of the brain constitutes axonal elements simulating fibrous elements through the extracellular matrix of the brain anatomy. Brain injury caused due to failure of axons under incidents such as falls, accidents and blasts where sudden motion or mechanical loads might impact the brain to cause traumatic brain injury. The axons within the white matter of the brain elongate due to brain injury and hence the axonal fibers fail to retain their original state. This paper deals with the modeling of the brain tissue in the white matter assuming the unidirectional or bi-directional orientations for axons with and without undulation. A unit cell of the representative volume element of the material is composed of extracellular matrix and axons. Micromechanical principals are used with the unit cell under periodic boundary conditions. The material properties of Corona radiata in a porcine brain tissue with bi-directional orientation of axonal fibers within the base matrix will be considered. Hyperelastic material data and behavior will be assumed for the constitutive materials of the unit cell. The unit cell will be exposed to various types of normal and shear loading to examine the load transfer to the axons, and to examine the extent of the axonal stresses and deformation. The results in a multiscale analysis point to the extent of damage as well as to the response of the white matter under impact mechanical loadings or sudden head motions.

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