Raposo, C. A.Bastos, W. D.Avila, J. A. J.2014-05-202014-05-202011-01-01Applied Mathematics & Information Sciences. Kalamazoo: Natural Sciences Publishing Corporation, v. 5, n. 1, p. 17-28, 2011.1935-0090http://hdl.handle.net/11449/40566In this work we consider a transmission problem for the longitudinal displacement of a Euler-Bernoulli beam, where one small part of the beam is made of a viscoelastic material with Kelvin-Voigt constitutive relation. We use semigroup theory to prove existence and uniqueness of solutions. We apply a general results due to L. Gearhart [5] and J. Pruss [10] in the study of asymptotic behavior of solutions and prove that the semigroup associated to the system is exponentially stable. A numerical scheme is presented,17-28engTransmission problemExponencial stabilityEuler-Bernoulli beamKelvin-Voigt dampingSemigroupNumerical schemeArtigoWOS:000297434000002Acesso restrito