SciELO - Scientific Electronic Library Online

 
vol.38 número2Analysis of heat and mass transfer in a mixed convective diffusion flame attached to a vertical fuel surfaceRole of joule heating on the hydrodynamic boundary layer with rectangular electrodes: Numerical approach índice de autoresíndice de assuntospesquisa de artigos
Home Pagelista alfabética de periódicos  

Serviços Personalizados

Journal

Artigo

Indicadores

  • Não possue artigos citadosCitado por SciELO

Links relacionados

  • Não possue artigos similaresSimilares em SciELO

Compartilhar


Latin American applied research

versão impressa ISSN 0327-0793

Resumo

CRAIEM, D. O. et al. Fractional calculus applied to model arterial viscoelasticity. Lat. Am. appl. res. [online]. 2008, vol.38, n.2, pp.141-145. ISSN 0327-0793.

Arterial viscoelasticity can be described using stress-relaxation experiments. To fit these curves, models with springs and dashpots, based on differential equations, were widely studied. However, uniaxial tests in arteries show particular shapes with an initial steep decay and a slow asymptotic relaxation. Recently, fractional order derivatives were used to conceive a new component called spring-pot that interpolates between pure elastic and viscous behaviors. In this work we modified a standard linear solid model replacing a dashpot with a spring-pot of order α . We tested the fractional model in human arterial segments. Results showed an accurate relaxation response during 1-hour with least squares errors below 1%. Fractional orders α were 0.2-0.4, justifying the extra parameter. Moreover, the adapted parameters allowed us to predict frequency responses that were similar to reported Complex Elastic Moduli in arteries. Our results indicate that fractional models should be considered as real alternatives to model arterial viscoelasticity.

Palavras-chave : Viscoelasticy; Stress-Relaxation; Human Arteries; Standard-Linear Solid; Fractional Calculus.

        · texto em Inglês     · Inglês ( pdf )

 

Creative Commons License Todo o conteúdo deste periódico, exceto onde está identificado, está licenciado sob uma Licença Creative Commons