CIMEC   24726
CENTRO DE INVESTIGACION DE METODOS COMPUTACIONALES
Unidad Ejecutora - UE
artículos
Título:
Multi-scale modelling of arterial tissue: Linking networks of fibres to continua
Autor/es:
SÁNCHEZ, PABLO JAVIER; ROCHA, FELIPE FIGUEREDO; FEIJÓO, RAÚL ANTONINO; BLANCO, PABLO JAVIER
Revista:
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
Editorial:
ELSEVIER SCIENCE SA
Referencias:
Año: 2018 vol. 341 p. 740 - 787
ISSN:
0045-7825
Resumen:
In this work we develop a multi-scale model to characterise the large scale constitutive behaviour of a material featuring a small scale fibrous architecture. The Method of Multi-scale Virtual Power (MMVP) is employed to construct the model. At the macro-scale, a classical continuum mechanics problem is formulated in the finite strain regime. At the micro-scale, a network of fibres, modelled as one-dimensional continua, composes the representative volume element (RVE). The MMVP provides a full characterisation of the equilibrium problem at the RVE, with consistent boundary conditions, as well as the homogenisation formula which defines the first Piola?Kirchhoff stress tensor. Particular attention is given to the fact that the macro-scale continuum could be considered incompressible. Numerical experiments are presented and model consistency is verified against well-known phenomenological constitutive equations. Scenarios departing from the hypotheses of such phenomenological material models are discussed.