Semi-analytical method for computing effective properties in elastic composite under imperfect contact |
| |
| Authors: | José A Otero Reinaldo Rodríguez-Ramos Julián Bravo-Castillero Raúl Guinovart-Díaz Federico J Sabina G Monsivais |
| |
| Institution: | 1. Instituto de Cibernética, Matemática y Física (ICIMAF), Calle 15 No. 551, entre C y D, Vedado, Habana 4, CP 10400, Cuba;2. Facultad de Matemática y Computación, Universidad de la Habana, San Lázaro y L, Vedado, Habana 4, CP 10400, Cuba;3. Instituto de Investigaciones en Matemáticas Aplicadas y en Sistemas, Universidad Nacional Autónoma de México, Apartado Postal 20-726, Delegación de Alvaro Obregón, 01000 México D.F., Mexico;4. Instituto de Física, Universidad Nacional Autónoma de México, Apartado Postal 20-364, 01000 México D.F., Mexico |
| |
| Abstract: | A parallel fiber-reinforced periodic elastic composite is considered with transversely iso-tropic constituents. Fibers with circular cross section are distributed with the same periodicity along the two perpendicular directions to the fiber orientation, i.e., the periodic cell of the composite is square. The composite exhibits imperfect contact, in particular, spring type at the interface between the fiber and matrix is modeled. Effective properties of this composite for in-plane and anti-plane local problems are calculated by means of a semi-analytic method, i.e. the differential equations that described the local problems obtained by asymptotic homogenization method are solved using the finite element method. Numerical computations are implemented and comparisons with exact solutions are presented. |
| |
| Keywords: | |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
