INVESTIGADORES
HUESPE Alfredo Edmundo
congresos y reuniones científicas
Título:
A MULTI-SCALE APPROACH TO MODEL ARTERIAL TISSUE
Autor/es:
FELIPE FIGUEIREDO; P.J. BLANCO; P.J SÁNCHEZ; A E. HUESPE; R. A. FEIJÓO
Lugar:
Rio de Janeiro
Reunión:
Congreso; CILAMCE 2015. XXXVI Ibero-Latin American Congress on Computational Methods in Engineering; 2015
Institución organizadora:
Association of Computational Methods in Engineering (ABMEC)
Resumen:
To gain insight on the onset and progress of some cardiovasculardiseases, as well as to propose adequate treatments, a detailed characterization of themechanical behaviour of the arterial wall is required. The classical constitutive modellingapproach based purely on phenomenological laws fails in representing the micromechanicalphenomena, which dominates important aspects such as rupture and remodelling of thesetissues. In turn, the multi-scale constitutive modelling raises as a more rational alternativeallowing to consider the microscopic details and interactions of the basic unit blocks of thebiological tissues, such as the existence of the collagen fibres, pores, etc. In this paper, wereview a constitutive multi-scale theory based on the existence of Representative VolumeElement (RVE) in the finite strain regime, which is presented in a variational formulationframework. The homogenisation of the displacement and deformation gradient as wellthe virtual power equivalence between macro- and micro-scales through an extendedversion of the Hill-Mandel principle, are assumed as fundamental hypotheses of themodel. As a result, we obtain the homogenisation of the macro-scale stress and the RVEequilibrium problem. The constitutive tangent operator is used to analyse the loss ofstability of the macroscopic material response. This allows us to model macroscopic cracknucleation induced, for instance, by strain localization phenomena due to microscopicshear bands, damage or any other possible microscopic failure mechanism. In thiscontext, preliminary results are discussed on the light of the present theoretical framework.