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Orientador(es)
Resumo(s)
We analyze the shape semiderivative of the solution to an asymptotic nonlinear
adaptive elastic rod model, derived in Figueiredo and Trabucho [Math. Mech. Solids, 9 (2004),
pp. 331–354], with respect to small perturbations of the cross section. The rod model is defined by
generalized Bernoulli–Navier elastic equilibrium equations and an ordinary differential equation with
respect to time. Taking advantage of the model’s special structure and the regularity of its solution,
we compute and completely identify, in an appropriate functional space involving time, the weak
shape semiderivative
Descrição
Palavras-chave
adaptive elasticity rod shape derivative
Contexto Educativo
Citação
Editora
SIAM J. APPL. MATH.