Optimization of BEM-based cooling channels injection moulding using model reduction

Nicolas Pirc (1) , Fabrice Schmidt (1) , Marcel Mongeau (2) , Florian Bugarin (1) , Francisco Chinesta (3)

1 CROMeP - Centre de Recherche Outillages, Matériaux et Procédés
2 IMT - Institut de Mathématiques de Toulouse UMR5219
3 ENSAM - École Nationale Supérieure d'Arts et Métiers

Today, around 30% of manufactured plastic goods rely on injection moulding. The cooling time can represent more than 70% of the injection cycle. In this process, heat transfer during the cooling step has a great influence both on the quality of the final parts that are produced, and on the moulding cycle time. Models based on a full 3D finite element method renders unpractical the use of optimization of the design and placement of the cooling channel in injection moulds. We have extended the use of boundary element method (BEM) to this process. We introduce in this paper a practical methodology to optimize both the position and the shape of the cooling channels in injection moulding processes. We couple the direct computation with an optimization algorithm such as SQP (Sequential Quadratic Programming). First, we propose an implementation of the model reduction in the BEM solver. This technique permits to reduce considerably the computing time during the linear system resolution (unsteady case). Secondly, we couple it with an optimization algorithm to evaluate its potentiality. For example, we can minimize the maximal temperature on the cavity surface subject to a temperature uniformity constraint. Thirdly, we present encouraging computational results on plastic parts that show that our optimization methodology is viable.

Mots clés: BEM; optimization; reduction model; injection moulding; SQP

Domaines: Sciences de l'ingénieur [physics]

Nicolas Pirc, Fabrice Schmidt, Marcel Mongeau, Florian Bugarin, Francisco Chinesta. Optimization of BEM-based cooling channels injection moulding using model reduction. ESAFORM 2008 -11th International ESAFORM conference on material forming, Apr 2008, Lyon, France. 4 p. ⟨hal-01764796⟩