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Orientador(es)
Resumo(s)
We prove the conical differentiability of the solution to a bone remodeling contact rod
model, for given data (applied loads and rigid obstacle), with respect to small perturbations of the cross
section of the rod. The proof is based on the special structure of the model, composed of a variational
inequality coupled with an ordinary differential equation with respect to time. This structure enables
the verification of the two following fundamental results: the polyhedricity of a modified displacement
constraint set defined by the obstacle and the differentiability of the two forms associated to the
variational inequality.
Descrição
Palavras-chave
Adaptive elasticity functional spaces polyhedric set rod
Contexto Educativo
Citação
Editora
ESAIM: Control, Optimisation and Calculus of Variations