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A convergence result in the study of bone remodeling contact problems
Fernández, J. R.; Figueiredo, I. N.; Martínez, R.We consider the approximation of a bone remodeling model with the Signorini contact conditions by a contact problem with normal compliant obstacle, when the obstacle's deformability coefficient converges to zero (that is, the obstacle's stiffness tends to infinity). The variational problem is a coupled system composed of a nonlinear variational equation (in the case of normal compliance contact conditions) or a...
Variational image segmentation for endoscopic human colonic aberrant crypt foci
Figueiredo, I. N.; Figueiredo, P. N.; Stadler, G.; Ghattas, O.; Araújo, A.The aim of this paper is to introduce a variational image segmentation method for assessing the aberrant crypt foci (ACF) in the human colon captured in vivo by endoscopy. ACF are thought to be precursors for colorectal cancer, and therefore their early detection may play an important clinical role. We enhance the active contours without edges model of Chan and Vese to account for the ACF’s particular structure...
The directional instability problem in systems with frictional contacts
Pinto da Costa, A.; Martins, J. A. C.; Figueiredo, I. N.; Júdice, J. J.The research summarized in this paper addresses the directional instability of finite dimensional systems with unilateral frictional contacts. Conditions for the occurrence of this divergence type instability are discussed, complementarity formulations are developed, and numerical procedures are proposed for the solution of the corresponding non-smooth stability eigenproblems. Various examples are analytically ...
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