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Analytical model for the arterial wall

  • SUNY Buffalo

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

The blood vessel wall is considered as a nonlinear, viscoelastic and composite material. Two successful models in describing the nonlinear stress-strain relationship are the polynomial (Patel and Vaishnav, 1972) and the exponential (Fung, 1981) models. In this study, we modified Patel's model by expressing the strain energy as a function of strain invariants. This manipulation introduces more physical meanings and makes the variation of the polynomial coefficients less sensitive to small changes in the test data. With this nonlinear constitutive relation, we formulated the motion of the arterial wall by considering the nonlinearities in wall geometry and boundary conditions. Linearization of the equations of motion of arterial wall and boundary conditions are then made.

Original languageEnglish
Title of host publication1991 Advances in Bioengineering
PublisherPubl by ASME
Pages613-615
Number of pages3
ISBN (Print)0791808890
StatePublished - 1991
EventWinter Annual Meeting of the American Society of Mechanical Engineers - Atlanta, GA, USA
Duration: Dec 1 1991Dec 6 1991

Publication series

NameAmerican Society of Mechanical Engineers, Bioengineering Division (Publication) BED
Volume20

Conference

ConferenceWinter Annual Meeting of the American Society of Mechanical Engineers
CityAtlanta, GA, USA
Period12/1/9112/6/91

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