© 1972 American Heart Association, Inc.
Finite-Element Model for the Mechanical Behavior of the Left Ventricle
PREDICTION OF DEFORMATION IN THE POTASSIUM-ARRESTED RAT HEART
1 Applied Computing Technology Department, The Aerospace Corporation San Bernardino, California 92408, and the Department of Histology, College of Dentistry, and the Department of Physiology, College of Medicine, University of Illinois Chicago, Illinois 60680
2 Applied Computing Technology Department, The Aerospace Corporation San Bernardino, California 92408, and the Department of Histology, College of Dentistry, and the Department of Physiology, College of Medicine, University of Illinois Chicago, Illinois 60680
A finite-element model is used to analyze the mechanical behavior of the left ventricle. The ventricle is treated as a heterogeneous, linearly elastic, thickwalled solid of revolution. The inner third of the ventricular wall is assumed to be transversely isotropic with a longitudinal Young's modulus, transverse modulus, and shear modulus of 60 g/cm2, 30 g/cm2, and 15.5 g/cm2, respectively. In the outer two-thirds of the ventricular wall the myocardium is assumed to be isotropic with a Young's modulus of 60 g/cm2. Polsson's ratio is assumed to be equal to 0.45 throughout the ventricular wall. The valvular ring at the base of the ventricle is simulated by a homogeneous layer cf collagen. The model appears to predict gross free-wall deformation in the left ventricle of the potassium-arrested rat heart fixed in situ. The presence of a relatively compliant transversely isotropic region near the endocardial surface results in significantly lower axial and circumferential stresses in this region than are present in a homogeneous, isotropic model. The presence of a simulated valvular ring results in a concentration ofrelatively large stresses near the base of the ventricle.
Key Words: axial symmetry of myocardial stress and strain • endocardial fiber elongation • linearly elastic myocardium • simulated valvular ring • transversely isotropic trabeculae • passive papillary muscle elasticity
Submitted on August 5, 1971
Accepted on November 24, 1971
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