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Title: A Generalized Piezoelectric Bernoulli–Navier Anisotropic Rod Model
Authors: Narra Figueiredo, Isabel 
Franco Leal, Carlos 
Issue Date: 2006
Issue Date: 2006
Citation: Journal of Elasticity. 85:2 (2006) 85-106
Abstract: Abstract We apply the asymptotic analysis procedure to the three-dimensional static equations of piezoelectricity, for a linear nonhomogeneous anisotropic thin rod. We prove the weak convergence of the rod mechanical displacement vectors and the rod electric potentials, when the diameter of the rod cross-section tends to zero. This weak limit is the solution of a new piezoelectric anisotropic nonhomogeneous rod model, which is a system of coupled equations, with generalized Bernoulli–Navier equilibrium equations and reduced Maxwell–Gauss equations.
DOI: 10.1007/s10659-006-9072-2
Rights: openAccess
Appears in Collections:FCTUC Matemática - Artigos em Revistas Internacionais

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