Modelling and simulation of residual stress and warpage in injection moulding

Abstract Nowadays, moulders and customers pay increasing attention to parts warpage, which becomes a determining quality criterion for parts acceptance. The accurate prediction of warpage of injection-moulded parts is an important and challenging task for numerical simulation of injection moulding. In this paper, the numerical analysis of warpage in injection-moulded parts was carried out in consideration of the residual stresses produced during both the packing and the cooling stages. For residual stress analysis, a thermorheologically simple viscoelastic material model was introduced to consider the stress relaxation effect and to describe the mechanical behaviour according to the temperature change. The deformation of injection-moulded parts induced by the residual stress was calculated on the basis of the theory of shells, represented as an assembly of flat elements formed by combining the constant strain and the discrete Kirchhoff triangular element. Experimental research on a flat plate was also performed to study the effect of mould structure and processing parameters on warpage. The simulation results were also compared with the experimental data for verification of the developed programme. It was found that the predictions were in agreement with experimental data, especially in qualitative analysis.

[1]  A class of simple solids with fading memory , 1969 .

[2]  Giuseppe Titomanlio,et al.  Effect of pressure history on shrinkage and residual stresses—injection molding with constrained shrinkage , 1996 .

[3]  G. Salloum,et al.  Residual stresses, shrinkage, and warpage of complex injection molded products : Numerical simulation and experimental validation , 1998 .

[4]  Giuseppe Titomanlio,et al.  In‐mold shrinkage and stress prediction in injection molding , 1996 .

[5]  Vijay K. Stokes,et al.  Solidification of thermoviscoelastic melts. Part 4: Effects of boundary conditions on shrinkage and residual stresses , 1995 .

[6]  C. A. Hieber,et al.  A unified simulation of the filling and postfilling stages in injection molding. Part I: Formulation , 1991 .

[7]  M. Akay,et al.  Prediction of process‐induced warpage in injection molded thermoplastics , 1996 .

[8]  K. Himasekhar,et al.  CAE of Mold Cooling in Injection Molding Using a Three-Dimensional Numerical Simulation , 1992 .

[9]  T. G. Rogers,et al.  Solution of Viscoelastic Stress Analysis Problems Using Measured Creep or Relaxation Functions , 1963 .

[10]  Dequn Li,et al.  Analysis of thermal residual stress in plastic injection molding , 2000 .

[11]  Lfa Lucien Douven,et al.  Residual thermal stresses in injection molded products , 1996 .

[12]  K. Jansen,et al.  As‐molded shrinkage measurements on polystyrene injection molded products , 1998 .

[13]  Yong-Taek Im,et al.  Prediction of shrinkage and warpage in consideration of residual stress in integrated simulation of injection molding , 1999 .

[14]  J. Agassant,et al.  Elastic Calculation of Residual Stresses in Injection Molding , 1995 .

[15]  Vijay K. Stokes,et al.  Solidification of thermoviscoelastic melts. Part I: Formulation of model problem , 1995 .

[16]  The effect of a temperature gradient on residual stresses and distortion in injection moldings , 1984 .

[17]  H. H. Chiang,et al.  A unified simulation of the filling and postfilling stages in injection molding. Part II: Experimental verification , 1991 .

[18]  Shih-Jung Liu Modeling and simulation of thermally induced stress and warpage in injection molded thermoplastics , 1996 .

[19]  Marcel Crochet,et al.  Thermoviscoelastic Calculation of Residual Stresses and Residual Shapes of Injection Molded Parts** , 1992 .