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Modelo multi-escala con fracturas cohesivas en ambas escalas

Authors: Labanda, Nicolás A.; Giusti, Sebastián M.; Luccioni, Bibiana M.;

Modelo multi-escala con fracturas cohesivas en ambas escalas

Abstract

En este trabajo se presentan resultados preliminares sobre un modelo multi-escala semiconcurrente para materiales con ablandamiento. Se propone una formulación mixta para la simulación de discontinuidades en los desplazamientos a ser usada en ambas escalas. La tensión sobre la fisura es considerada como incógnita del sistema de ecuaciones junto al campo de desplazamientos, y el salto se obtiene mediante la relación constitutiva (Ley tensión-separación). Se reformulan los principios axiomáticos propuestos por P.J. Blanco y S.M. Giusti (P.J. Blanco y S.M. Giusti, Journal of Elasticity, (2013)) y el concepto de inyección propuesto por P.J. Sánchez et al (P.J. Sánchez et al, Comp. Methods Appl. Mech. Engrg, 200:1220-1236 (2011)) para lograr una respuesta objetiva. La tensión proyectada sobre la normal de la fisura de la macro escala se inyecta en la fisura localizada del RVE, logrando como variable dual el salto en el campo de desplazamiento para la escala superior. De esta forma, en la fase estable del material la inyección en la transición de escalas mantiene la estructura clásica (partiendo de una compatibilización de deformaciones), mientras que en la fase no estable el proceso de transición sigue un camino inverso (partiendo de una compatibilización de tensiones sobre la localización en la micro escala). De esta manera se logra una inyección híbrida mediante deformaciones en el primer caso y tensiones en el segundo caso. Finalmente, se presentan ejemplos de homogeneización de la respuesta en problemas de fractura transversal de compuestos reforzados con fibras longitudinales.

Country
Spain
Keywords

COMP-DES-MAT Project, COMPDESMAT Project, Formulación mixta, :Enginyeria civil::Materials i estructures [Àrees temàtiques de la UPC], Multi-escala, Àrees temàtiques de la UPC::Enginyeria civil::Materials i estructures, RVE, Mecànica de fractura -- Models matemàtics, Fractura cohesiva, Fracture mechanics--Mathematical models

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selected citations
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This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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