TY - JOUR
T1 - Finite-element analysis of left ventricular myocardial stresses
AU - Pao, Y. C.
AU - Ritman, E. L.
AU - Wood, E. H.
N1 - Funding Information:
* Rzcr~wtl 19 4pril 1974. t Presented at the 7th U.S. National Congress of Applied Mechanics. University of Colorado. Boulder. Colorado. 3-7 June 1974. This investigation was supported by research grants HL 141 96F and HL 4664 from the National Institutes of Health. U.S. Public Health Service: Cl IO from the American Heart Assocration: and. Engineering Research Center grant from the Liniversity of Nebraska : Dr. Pao is a Visiting Scientist to the Mayo Foundation. Mavo Graduate School of Medicine and Professor of Eniineermg Mechanics. Liniversity of Nebraska. Lincoln. Nebraska 68.508. U.S.A. ? Dr. Wood is a Career Investigator Heart Association.
PY - 1974/11
Y1 - 1974/11
N2 - A versatile method of finite-element analysis is presented for the determination of the stress distributions in the left ventricular myocardial wall. The instantaneous shapes of the left ventricular myocardial wall, measured at 0,5 mm intervals and at a rate 0f 60 images/sec during a cardiac cycle, are approximated by axisymmetric shells following the approach of Gould et al. and analysed by the method of incremental loadings to account for the changing transmural pressure. The ventricular wall is mathematically divided up into coaxial rings of triagular cross sections so that determination of the stresses at any point within the wall can be achieved by assigning increased number of nodes across the wall thickness in the regions of the left ventricular wall where particular attention is needed. Appropriate boundary conditions are defined at the base of the left ventricle so that it can be treated as a shell with an open end. The computer program, which implements all the stress calculations involved, depends on the dimensions of the left ventricular wall measured from an operator-interactive roengen videometry system. It carries out the sequential formation of the nodes and elements and includes a CALCOMP subroutine to plot the finite-element partitioning of the instantaneous shape. Illustrative results of the end-diastolic stress distributions within the myocardial wall of a metabolically-supported, isolated, working canine left ventricle are given. This technique predicts higher endocardial meridional and hoop wall stresses relative to the stresses in the middle and epicardial region than those obtained with previous models.
AB - A versatile method of finite-element analysis is presented for the determination of the stress distributions in the left ventricular myocardial wall. The instantaneous shapes of the left ventricular myocardial wall, measured at 0,5 mm intervals and at a rate 0f 60 images/sec during a cardiac cycle, are approximated by axisymmetric shells following the approach of Gould et al. and analysed by the method of incremental loadings to account for the changing transmural pressure. The ventricular wall is mathematically divided up into coaxial rings of triagular cross sections so that determination of the stresses at any point within the wall can be achieved by assigning increased number of nodes across the wall thickness in the regions of the left ventricular wall where particular attention is needed. Appropriate boundary conditions are defined at the base of the left ventricle so that it can be treated as a shell with an open end. The computer program, which implements all the stress calculations involved, depends on the dimensions of the left ventricular wall measured from an operator-interactive roengen videometry system. It carries out the sequential formation of the nodes and elements and includes a CALCOMP subroutine to plot the finite-element partitioning of the instantaneous shape. Illustrative results of the end-diastolic stress distributions within the myocardial wall of a metabolically-supported, isolated, working canine left ventricle are given. This technique predicts higher endocardial meridional and hoop wall stresses relative to the stresses in the middle and epicardial region than those obtained with previous models.
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U2 - 10.1016/0021-9290(74)90081-5
DO - 10.1016/0021-9290(74)90081-5
M3 - Article
C2 - 4452672
AN - SCOPUS:0016127868
SN - 0021-9290
VL - 7
SP - 469
EP - 477
JO - Journal of Biomechanics
JF - Journal of Biomechanics
IS - 6
ER -