Abstract
A theoretical framework is developed for mechanics of the diaphragm. The diaphragm is modeled as an anisotropic elastic material surface with activation functionality. A constitutive function is formulated that relates the stresses in the diaphragm to the surface deformation gradient, the anisotropy vector, and the muscle activation parameter. The equilibrium equations for the diaphragm are derived to determine the deformed shape of the diaphragm in the process of respiration with the associated transdiaphragmatic pressures. A numerical solution is presented, that demonstrates the capability of the model to recover the experimental observations and to predict the shape and stresses of the diaphragm.
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