Homogenized out-of-plane shear response of three-scale fiber-reinforced composites
Por:
Ramírez-Torres A., Penta R., Rodríguez-Ramos R., Grillo A., Preziosi L., Merodio J., Guinovart-Díaz R., Bravo-Castillero J.
Publicada:
1 ene 2019
Resumen:
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. © 2018, The Author(s).
Filiaciones:
Ramírez-Torres A.:
Dipartimento di Scienze Matematiche “G. L. Lagrange”, Politecnico di Torino, Turin, 10129, Italy
Penta R.:
School of Mathematics and Statistics, Mathematics and Statistics Building, University of Glasgow, University Place, Glasgow, G12 8QQ, United Kingdom
Rodríguez-Ramos R.:
Departamento de Matemáticas, Facultad de Matemática y Computación, Universidad de La Habana, La Habana, CP 10400, Cuba
Grillo A.:
Dipartimento di Scienze Matematiche “G. L. Lagrange”, Politecnico di Torino, Turin, 10129, Italy
Preziosi L.:
Dipartimento di Scienze Matematiche “G. L. Lagrange”, Politecnico di Torino, Turin, 10129, Italy
Merodio J.:
Departamento de Mecánica de los Medios Continuos y T. Estructuras, E.T.S. de Caminos, Canales y Puertos, Universidad Politécnica de Madrid, Madrid, CP 28040, Spain
Guinovart-Díaz R.:
Departamento de Matemáticas, Facultad de Matemática y Computación, Universidad de La Habana, La Habana, CP 10400, Cuba
Bravo-Castillero J.:
Departamento de Matemáticas, Facultad de Matemática y Computación, Universidad de La Habana, La Habana, CP 10400, Cuba
Hybrid Gold
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