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dc.contributor.authorFernández, J. R.-
dc.contributor.authorFigueiredo, I. N.-
dc.contributor.authorMartínez, R.-
dc.identifier.citationJournal of Mathematical Analysis and Applications. 343:2 (2008) 951-964en_US
dc.description.abstractWe 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 inequality (for the case of Signorini's contact conditions), for the mechanical displacement field, and a first-order ordinary differential equation for the bone remodeling function. A theoretical result, which states the convergence of the contact problem with normal compliance contact law to the Signorini problem, is then proved. Finally, some numerical simulations, involving examples in one and two dimensions, are reported to show this convergence behaviour.en_US
dc.subjectBone remodelingen_US
dc.subjectSignorini conditionsen_US
dc.subjectNormal complianceen_US
dc.subjectWeak solutionsen_US
dc.subjectNumerical simulationsen_US
dc.titleA convergence result in the study of bone remodeling contact problemsen_US
item.fulltextCom Texto completo-
item.grantfulltextopen- de Ciências e Tecnologia, Universidade de Coimbra- de Coimbra- for Mathematics, University of Coimbra-
Appears in Collections:FCTUC Matemática - Artigos em Revistas Internacionais
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