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https://hdl.handle.net/10316/7734
Title: | A Generalized Piezoelectric Bernoulli–Navier Anisotropic Rod Model | Authors: | Figueiredo, Isabel Narra Leal, Carlos Franco |
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. | URI: | https://hdl.handle.net/10316/7734 | DOI: | 10.1007/s10659-006-9072-2 | Rights: | openAccess |
Appears in Collections: | FCTUC Matemática - Artigos em Revistas Internacionais |
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