Effective Viscoelastic Properties of One-Dimensional Composites
1Facultad de Ciencia's Technica's, Departamento de Mathematica, Universidad de Matanzas, Varadero road Km. 2 1/2, Matanzas, Cuba
2Facultad de Mathematica y Computation, Universidad de La Habana, San Lázaro y L, Vedado La Habana. CP 10400. Cuba
3Instituto Tecnológico de Studios Superiores de Monterrey CEM, Atakapan de Zaragoza EM CP 52926, México
4Instituto de Investigations end Mathematica's Applicates y end Sistemas, Universidad Nacional Autonomy de México, Apart ado Postal 20-126, Delegation de Álvaro Obregón 01000 México, DF., México
Citation: O.L. Cruz-González, R. Rodríguez-Ramos, J. Bravo-Castillero, Martínez-Rosado, R. Guinovart-Daija. Otero, F. J. Sabina. “Effective viscoelastic properties of one-dimensional composites”, American Research Physics, vol 3, no. 1, 2017, pp. 1-17.
Abstract
Abstract: In this paper, the use of Asymptotic Homogenization Method (AHM) is proposed to solve partial
differential equations that describe the behavior of some viscoelastic heterogeneous materials. The
mathematical statement of the problem is formulated. A theoretical and organized description of the AHM is
exposed. Analytical expressions of the effective properties for heterogeneous viscoelastic materials, using the
Laplace Transform and its inverse, are reported. Various viscoelastic kernels are considered, including
Rabotnov’s fractional-exponential kernel, to describe the behavior of laminate viscoelastic composites. Finally,
numerical results are obtained to validate the use of the method.
