P. Mythravaruni, K.Y. Volokh*
Molecular & Cellular Biomechanics, Vol.17, No.1, pp. 1-17, 2020, DOI:10.32604/mcb.2019.07606
Abstract We present a theoretical approach to study the onset of failure localization into cracks in arterial wall. The arterial wall is a soft composite comprising
hydrated ground matrix of proteoglycans reinforced by spatially dispersed elastin
and collagen fibers. As any material, the arterial tissue cannot accumulate and dissipate strain energy beyond a critical value. This critical value is enforced in the
constitutive theory via energy limiters. The limiters automatically bound reachable
stresses and allow examining the mathematical condition of strong ellipticity. Loss
of the strong ellipticity physically means inability of material to propagate superimposed waves.… More >