Brain modelling in the framework of anisotropic hyperelasticity with time fractional damage evolution governed by the Caputo-Almeida fractional derivative

Authors

George Z. Voyiadjis, Boyd Professor, Department of Civil and Environmental Engineering, Louisiana State University, Baton Rouge, LA 70803, USA. Electronic address: voyiadjis@eng.lsu.edu.
Wojciech Sumelka, Department of Civil and Environmental Engineering, Louisiana State University, Baton Rouge, Louisiana, United States of America.
Jack A. Cadigan, Department of Civil and Environmental Engineering, Louisiana State University, Baton Rouge, Louisiana, United States of America.
Navid H. Jafari, Department of Civil and Environmental Engineering, Louisiana State University, Baton Rouge, Louisiana, United States of America.
Susan E. Bailey, Department of Civil and Environmental Engineering, Louisiana State University, Baton Rouge, Louisiana, United States of America.
Zachary J. Tyler, US Army Corps of Engineers, Research and Development Center, Vicksburg, Mississippi, United States of America.

Document Type

Article

Publication Date

1-1-2019

Abstract

In this paper the human brain tissue constitutive model for monotonic loading is developed. The model in this work is based on the anisotropic hyperelasticity assumption (the transversely isotropic case) together with modelling of the evolving load-carrying capacity (scalar damage) whose change is governed by the Caputo-Almeida fractional derivative. This allows the brain constitutive law to include the memory during progressive damage, due to the characteristic time length scale which is an inherent attribute of the fractional operator. Furthermore, the rate dependence of the overall brain tissue model is included as well. The theoretical model is finally calibrated and validated with a set of experimental data.

Publication Source (Journal or Book title)

Journal of the mechanical behavior of biomedical materials

First Page

209

Last Page

216

Recommended Citation

Voyiadjis, G. Z., Sumelka, W., Cadigan, J. A., Jafari, N. H., Bailey, S. E., & Tyler, Z. J. (2019). Brain modelling in the framework of anisotropic hyperelasticity with time fractional damage evolution governed by the Caputo-Almeida fractional derivative. Journal of the mechanical behavior of biomedical materials, 89, 209-216. https://doi.org/10.1016/j.jmbbm.2018.09.029