Shape analysis of an adaptive elastic rod model

Figueiredo, Isabel; Leal, Carlos; Pinto, Cecília

http://hdl.handle.net/10400.19/2601

Use this identifier to reference this record.

Name:	Description:	Size:	Format:
Shape Analysis of an Adaptive Elastic Rod Mod.pdf		247.72 KB	Adobe PDF	Download

Send Feedback

Authors

Figueiredo, Isabel

Leal, Carlos

Pinto, Cecília

Abstract(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