International Journal of Material Forming

, Volume 10, Issue 5, pp 653–669 | Cite as

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

  • Rubén Ibáñez
  • Emmanuelle Abisset-Chavanne
  • Francisco Chinesta
  • Antonio Huerta
Original Research


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.


Squeeze flow Composite laminates Sheet forming Proper generalized decomposition Ericksen fluid Mixed formulation LBB condition 


Compliance with Ethical Standards

The authors declare that they have no conflict of interest.


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Copyright information

© Springer-Verlag France 2016

Authors and Affiliations

  • Rubén Ibáñez
    • 1
  • Emmanuelle Abisset-Chavanne
    • 1
  • Francisco Chinesta
    • 1
  • Antonio Huerta
    • 2
  1. 1.ESI GROUP Chair, ICI - High Performance Computing Institute, Ecole Centrale de NantesNantesFrance
  2. 2.Laboratori de Càlcul NumèricUniversitat Politècnica de CatalunyaBarcelonaSpain

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