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

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 ine...

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Bibliographic Details
Published in:International journal of material forming 2017-10, Vol.10 (5), p.653-669
Main Authors: Ibáñez, Rubén, Abisset-Chavanne, Emmanuelle, Chinesta, Francisco, Huerta, Antonio
Format: Article
Language:English
Subjects:
CAE) and Design
Computational Intelligence
Computer simulation
Computer-Aided Engineering (CAD
Constitutive equations
Constitutive relationships
Continuous fibers
Engineering
Formulations
Incompressibility
Kinematics
Lagrange multiplier
Laminates
Machines
Manufacturing
Materials Science
Mechanical Engineering
Original Research
Polymer matrix composites
Prepregs
Processes
Rheological properties
Three dimensional composites
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Summary: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.
ISSN:1960-6206
1960-6214
DOI:10.1007/s12289-016-1309-4