Determination of left ventricular wall stresses during isovolumic contraction using incompressible finite elements

Abstract Left ventricular wall stresses were determined during isovolumic contraction using triangular incompressible finite elements. The geometry of the left ventricle (LV) was approximated as a thick shell of revolution. Both finite deformation and finite strain theories were used in the analysis. The incompressibility condition was applied by equating the third strain invariant as unity. The strain energy density function for the myocardial muscle was assumed to be that of a Mooney material. Physiological loads encountered by the LV during isovolumic contraction were used in the analysis. The stresses generated by the myocardium during isovolumic contraction were assumed to be equal and opposite to that of the stresses induced due to application of a cavity pressure of 10.66 kPa (80 mm Hg). During isovolumic contraction, the stresses at the midsection of the LV were of the order 40 kPa. Near the apex, the stresses changed from compressive at the endocardial surface to tensile at the epicardial surface. In conclusion, an improved mathematical model was developed for the characterization of left ventricular stresses during isovolumic contraction.

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