Homogenized out-of-plane shear response three-scale fiber-reinforced composites

Ramírez-Torres, A. , Penta, R. , Rodríguez-Ramos, R., Grillo, A., Preziosi, L., Merodio, J., Guinovart-Díaz, R. and Bravo-Castillero, J. (2019) Homogenized out-of-plane shear response three-scale fiber-reinforced composites. Computing and Visualization in Science, 20(3-6), pp. 85-93. (doi: 10.1007/s00791-018-0301-6)

Abstract

In the present work we embrace a three scales asymptotic homogenization approach to investigate the effective behavior of hierarchical linear elastic composites reinforced by cylindrical, uniaxially aligned fibers and possessing a periodic structure at each hierarchical level of organization. We present our novel results assuming isotropy of the constituents and focusing on the effective out-of-plane shear modulus, which is computed exploiting the solution of the arising anti-plane problems. The latter are solved semi-analytically by means of complex variables and successfully benchmarked against the results obtained by finite elements. Our findings can pave the way for multiscale modeling of complex hierarchical materials (such as bone and tendons) at a negligible computational cost.

• Item Type: Articles
• Additional Information: AR (“titolare di un Assegno di Ricerca dell’Istituto Nazionale di Alta Matematica”), AG and LP are financially supported by Indam. JM and RP acknowledge support from the Ministery of Economy in Spain under the project reference DPI2014-58885-R. RR, RG and JB, thank the Project (7515) “Métodos Físico-Matemáticos para el estudio de nuevos materiales y la propagación de ondas. Aplicaciones”. AG is funded by the “Politecnico di Torino” and the “Fondazione Cassa di Risparmio di Torino” in the context of the funding campaign “La Ricerca dei Talenti” (HR Excellence in Research). JB recognizes the support of Cátedra IIMAS-UNAM
• Status: Published
• Refereed: Yes
• Glasgow Author(s) Enlighten ID: Penta, Dr Raimondo and Ramirez Torres, Dr Ariel
• Authors: Ramírez-Torres, A., Penta, R., Rodríguez-Ramos, R., Grillo, A., Preziosi, L., Merodio, J., Guinovart-Díaz, R., and Bravo-Castillero, J.
• College/School: College of Science and Engineering > School of Mathematics and Statistics > Mathematics
• Journal Name: Computing and Visualization in Science
• Publisher: Springer
• ISSN: 1432-9360
• ISSN (Online): 1433-0369
• Published Online: 29 June 2018
• Copyright Holders: Copyright © 2018 The Authors
• First Published: First published in Computing and Visualization in Science 20(3-6): 85-93
• Publisher Policy: Reproduced under a Creative Commons License