Author(s):
Narra Figueiredo, Isabel 
; Franco Leal, Carlos
Date: 2006
Persistent ID: http://hdl.handle.net/10316/7734
Origin: Estudo Geral - Universidade de Coimbra
Document details
A Generalized Piezoelectric Bernoulli–Navier Anisotropic Rod Model
Description
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. http://dx.doi.org/10.1007/s10659-006-9072-2
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. http://dx.doi.org/10.1007/s10659-006-9072-2
Document Type
Article
Language English
Language English
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