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International Journal of Material Forming
Article . 2016 . Peer-reviewed
License: Springer TDM
Data sources: Crossref
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Simulating squeeze flows in multiaxial laminates: towards fully 3D mixed formulations

Authors: Ibáñez, Rubén; Abisset-Chavanne, Emmanuelle; Chinesta, Francisco; Huerta, Antonio;

Simulating squeeze flows in multiaxial laminates: towards fully 3D mixed formulations

Abstract

Thermoplastic composites are widely considered in structural parts. In this paper attention is paid to squeeze flow of continuous fiber laminates. In the case of unidirectional prepregs, the ply constitutive equation is modeled as a transversally isotropic fluid, that must satisfy both the fiber inextensibility as well as the fluid incompressibility. When laminate is squeezed the flow kinematics exhibits a complex dependency along the laminate thickness requiring a detailed velocity description through the thickness. In a former work the solution making use of an in-plane-out-of-plane separated representation within the PGD – Poper Generalized Decomposition – framework was successfully accomplished when both kinematic constraints (inextensibility and incompressibility) were introduced using a penalty formulation for circumventing the LBB constraints. However, such a formulation makes difficult the calculation on fiber tractions and compression forces, the last required in rheological characterizations. In this paper the former penalty formulation is substituted by a mixed formulation that makes use of two Lagrange multipliers, while addressing the LBB stability conditions within the separated representation framework, questions never until now addressed.

Country
Spain
Keywords

:74 Mechanics of deformable solids::74P Optimization [Classificació AMS], Engineering, Civil, Classificació AMS::74 Mechanics of deformable solids::74C Plastic materials, Àrees temàtiques de la UPC::Física::Física de l'estat sòlid, Proper generalized decomposition, :Matemàtiques i estadística::Matemàtica aplicada a les ciències [Àrees temàtiques de la UPC], Engineering, Multidisciplinary, :74 Mechanics of deformable solids::74C Plastic materials, materials of stress-rate and internal-variable type [Classificació AMS], :Física::Física de l'estat sòlid [Àrees temàtiques de la UPC], Engineering, Ocean, Strength of materials, Composite laminates, Squeeze flow, Resistència de materials, Engineering, Aerospace, Engineering, Biomedical, LBB condition, materials of stress-rate and internal-variable type, Classificació AMS::74 Mechanics of deformable solids::74P Optimization, Computer Science, Software Engineering, Engineering, Marine, Classificació AMS::74 Mechanics of deformable solids::74C Plastic materials, materials of stress-rate and internal-variable type, Engineering, Manufacturing, Engineering, Mechanical, Sheet forming, Ericksen fluid, Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències, Engineering, Industrial, Mixed formulation, Plastics

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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).
BIP!Citations provided by BIP!
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.
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