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Nonlinear structural and material properties and models: The pulmonary trunk
Authors:Dr J Melbin  S Summerfield  A Noordergraaf
Institution:(1) Cardiovascular Studies Unit Departments of Animal Biology and Bioengineering, School of Veterinary Medicine, University of Pennsylvania, 3800 Spruce Street, Pennsylvania, 19104 Philadelphia
Abstract:General models are developed for static and dynamic geometric and material passive responses. The models are applied to data obtained from the main pulmonary arteries of calves and dogs. The structural model predicts distortions by simultaneous stretching and bending in a concise manner. Parameters are obtained by a fiveelement material model. This latter predicts static and dynamic, nonlinear, frequency-dependent, viscoelastic responses observed in biomaterials over the entire strain range irrespective of the nature of loading. Validity and baseline parameter values are investigated for the inactivated state, developed by poisoning the smooth muscle with potassium cyanide. Complexities, related to nonlinear (strain-dependent) and colloidal (thixotropic) properties of tissues, are analyzed. These properties enter into functional responses in a complex manner that can modify substantially concepts of material components and vary appreciably between physiologic circumstances and laboratory evaluations. We propose that, in general, evaluations of material responses must account for these properties.
Keywords:Nonlinear  Material properties  Structural properties  Models  Pulmonary
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