Mathematical Modeling of Stress Strain Behavior of Newborn Mouse Aorta

The stress-strain behavior of materials is very important in determining their physical and mechanical properties. Whereas the stress-strain behaviors of different metals (isotropic and linear) can be easily determined by Hooke’s law, determining that of newborn mouse aorta (anisotropic and nonlinear) needs different approaches. The stress-strain behavior of newborn mouse aorta is highly nonlinear, and previous constitutive equations have been used to model the stress-strain behaviors of only adult mouse aorta. In other words, previous equations do not accurately represent the stress-strain behavior of newborn mouse aorta. This paper proposes a constitutive equation that represents the stress-strain behavior of newborn mice aortae. This strain energy function incorporates exponentials, but has some important differences from the previous models. Regression analysis in MATLAB shows that the proposed strain energy equation can accurately represent the stress-strain behavior of newborn mouse aorta