Three-dimensional transient mold cooling analysis based on galerkin finite element formulation with a matrix-free conjugate gradient technique

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Abstract

A methodology is prevented to simulate the three-dimensional heat transfer within a mold during the injection molding process. The mold cooling analysis assists cooling channel design and paves the way for part shrinkage and warpage analysis. The transient temperature distributions in the mold and the polymer part are simultancously computed by Galerkin Finite Element Method (GFEM) using a matrix-free Jacobi Conjugate Gradient (KG) scheme. The numerical method prevented here is efficient and has shown to require a fraction of the memory and computing time required by conventional methods. The matrix-free algorilthm is initially validated using an injection mold designed to produce a plaque with a molded-in hole. Subsequently, the method is further applied to a representative automotive plastic component.

Original languageEnglish
Pages (from-to)3049-3064
Number of pages16
JournalInternational Journal for Numerical Methods in Engineering
Volume39
Issue number18
DOIs
StatePublished - 1996

Keywords

  • Finite element method
  • Injection molding
  • Jacobi conjugate gradient
  • Matrix-free algorithm
  • Mold cooling
  • Three-dimensional

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