Comparison of Theory with Observation for the Minor Planets by Leuschner A. O.

By Leuschner A. O.

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Shacklock. Biaxial Testing of Cardiac Tissue. Master's thesis, University of Auckland, New Zealand, 1987. D. Streeter. Gross morphology and fiber geometry of the heart. , editor, Handbook of Physiology, American Physiological Society, Bethesda, MD, 1979. Section 2. J. H. Rijnsburger, R. J. Nagelsmit. Tension development and sarcomere length in rat cardiac trabeculae: Evidence of length-dependent activation. Cire. , 46:703-714, 1980. [43] P. C. Fung. The stress-strain relationship for skin. J. , 9:649-657, 1976.

2). These basic assumptions will be subsequently supplemented by additional structural and mechanical arguments. 2. 1) where the components of the second Piola-Kirchoff stress tensor Sij and the Green's strain tensor 'Yij are referred to some general material coordinates, and where g and G are the determinants of the metric tensors before and after the deformation, respectively. In the case ofthe myocardium, the total strain energy in a unit of volume is assumed to be the sum of the strain energies of the myofibers and of the collagen struts.

1. + 'Y33 sm sm '1'. 21) The final forms of the stress expressions are obtained after substituting the appropriate distribution functions and uniaxial stress-strain relations. 22) 2. 23) (no summation over i), where J is the determinant of the transformation of 0' and fjJ' to 0 and fjJ. 24) (no summation over i and over j) in order to be compared to the stresses measured in the mechanical tests (which were also referred to the initial configuration) . The Results and their Significance The fitting of the stress expressions to the stress-strain curves measured in the biaxial tests of Yin and colleagues [33] requires carrying out a nonlinear least-squares procedure in order to estimate the values of the parameters that appear in those expressions.

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