Flow Analysis of Injection Molds

Aside from extensive descriptions of computational methods, there are substantial discussions on the physics of flow-induced crystallization and the practical modelling thereof. Shrinkage and warping and the influence of fibres on the process are also treated in novel ways. There are 435 references to other work, and hence the book is a most valuable source of information which should be consulted by everyone working in this difficult but interesting field.

[1]  F. Cogswell,et al.  The Processing of Thermoplastics Containing High Loadings of Long and Continuous Reinforcing Fibers , 1986 .

[2]  A. Ziabicki.  Crystallization of polymers in variable external conditions , 1996 .

[3]  J. Monaghan.  Simulating Free Surface Flows with SPH , 1994 .

[4]  David V. Boger,et al.  The flow of fiber suspensions in complex geometries , 1988 .

[5]  S. Vleeshouwers,et al.  A rheological study of shear induced crystallization , 1996 .

[6]  T. Kitano,et al.  An empirical equation of the relative viscosity of polymer melts filled with various inorganic fillers , 1981 .

[7]  U. R. Evans.  The laws of expanding circles and spheres in relation to the lateral growth of surface films and the grain-size of metals , 1945 .

[8]  R. Roscoe.  The viscosity of suspensions of rigid spheres , 1952 .

[9]  R. Courant,et al.  Über die partiellen Differenzengleichungen der mathematischen Physik , 1928 .

[10]  S. Richardson,et al.  Hele Shaw flows with a free boundary produced by the injection of fluid into a narrow channel , 1972, Journal of Fluid Mechanics.

[11]  L. Lucy.  A numerical approach to the testing of the fission hypothesis. , 1977 .

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

[13]  J. Gillespie,et al.  The influence of aggregated and dispersed textures on the elastic properties of discontinuous-fiber composites , 1994 .

[14]  M. Avrami.  Kinetics of Phase Change. II Transformation‐Time Relations for Random Distribution of Nuclei , 1940 .

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

[16]  T. Matsuoka,et al.  Viscosity of dilute suspensions of rodlike particles: A numerical simulation method , 1994 .

[17]  M. Kamal,et al.  A structure‐oriented computer simulation of the injection molding of viscoelastic crystalline polymers part I: Model with fountain flow, packing, solidification , 1986 .

[18]  Suresh G. Advani,et al.  The Use of Tensors to Describe and Predict Fiber Orientation in Short Fiber Composites , 1987 .

[19]  B. Brulé.  A network theory for the thermal conductivity of an amorphous polymeric material , 1989 .

[20]  Masao Doi,et al.  Molecular dynamics and rheological properties of concentrated solutions of rodlike polymers in isotropic and liquid crystalline phases , 1981 .

[21]  A. J. Staverman,et al.  Time‐Temperature Dependence of Linear Viscoelastic Behavior , 1952 .

[22]  T. G. Rogers,et al.  Residual Stresses in a Glass Plate Cooled Symmetrically from Both Surfaces , 1965 .

[23]  J. Monaghan.  Smoothed particle hydrodynamics , 2005 .

[24]  Charles L. Tucker,et al.  Orthotropic closure approximations for flow-induced fiber orientation , 1995 .

[25]  R. Landel,et al.  The Temperature Dependence of Relaxation Mechanisms in Amorphous Polymers and Other Glass-Forming Liquids , 1955 .

[26]  R. Tanner,et al.  A new constitutive equation derived from network theory , 1977 .

[27]  H. Brenner,et al.  Shear‐induced particle migration in suspensions of rods , 1994 .

[28]  M. Kamal,et al.  Simulation of injection mold filling of viscoelastic polymer with fountain flow , 1988 .

[29]  R. Wimberger-Friedl,et al.  The time-dependent stress-optical behavior of polycarbonate in the glass transition region , 1991 .

[30]  R. Cook,et al.  Concepts and Applications of Finite Element Analysis (2nd Edition) , 1984 .

[31]  S. Toll,et al.  Microstructure of long-and short-fiber reinforced injection molded polyamide , 1993 .

[32]  M. Amon,et al.  A study of the dynamics of foam growth: Analysis of the growth of closely spaced spherical bubbles , 1984 .

[33]  Fang Xijun.  Rheology of semiconcentrated fibre suspension in the Oldroyd-B fluid , 1992 .

[34]  J. Stefan,et al.  Ueber die Theorie der Eisbildung, insbesondere über die Eisbildung im Polarmeere , 1891 .

[35]  Wing Kam Liu,et al.  Lagrangian-Eulerian finite element formulation for incompressible viscous flows☆ , 1981 .

[36]  C. L. Tucker,et al.  Orientation Behavior of Fibers in Concentrated Suspensions , 1984 .

[37]  A. V. Ramamurthy.  Wall Slip in Viscous Fluids and Influence of Materials of Construction , 1986 .

[38]  J. Hoffman,et al.  Melting Process and the Equilibrium Melting Temperature of Polychlorotrifluoroethylene , 1962, Journal of Research of the National Bureau of Standards. Section A, Physics and Chemistry.

[39]  V. Brucato,et al.  On the Simulation of Thermoplastic Injection Moulding Process , 1995 .

[40]  R. Larson.  Instabilities in viscoelastic flows , 1992 .

[41]  W. Schneider,et al.  Non – Isothermal Crystallization Crystallization of Polymers , 1988 .

[42]  A. B. Metzner.  Rheology of Suspensions in Polymeric Liquids , 1985 .

[43]  W. Michaeli,et al.  Quality control for the packing pressure phase—with pmT control , 1989 .

[44]  T. W. Haas,et al.  Effects of shear stress on the crystallization of linear polyethylene and polybutene‐1 , 1969 .

[45]  Vito Leo,et al.  The effect of the packing parameters, gate geometry, and mold elasticity on the final dimensions of a molded part , 1996 .

[46]  H. Ackermann,et al.  Apparatus for measuring pressure–volume–temperature relationships of polymers to 350 °C and 2200 kg/cm2 , 1976 .

[47]  Daniel N. Ostrov,et al.  A finitely extensible bead-spring chain model for dilute polymer solutions , 1991 .

[48]  H. Meijer,et al.  The Melting Performance of Single Screw Extruders. II , 1981 .

[49]  S. F. Shen,et al.  A finite-element/finite-difference simulation of the injection-molding filling process , 1980 .

[50]  M. Avrami.  Granulation, Phase Change, and Microstructure Kinetics of Phase Change. III , 1941 .

[51]  R. Zheng,et al.  Predicting Warpage of Injection Molded Fiber-Reinforced Plastics , 1996 .

[52]  Howard Brenner,et al.  The Stokes resistance of a slightly deformed sphere , 1964 .

[53]  R. Webster.  An algebraic multigrid solver for Navier‐Stokes problems , 1994 .

[54]  R. Bailey,et al.  Fibre Orientation Mechanisms for Injection Molding of Long Fibre Composites , 1991 .

[55]  Sean Walsh.  Shrinkage and Warpage Prediction for Injection Molded Components , 1993 .

[56]  Dimitris C. Lagoudas,et al.  On the numerical evaluation of Eshelby's tensor and its application to elastoplastic fibrous composites , 1990 .

[57]  P. Lardeur,et al.  A discrete shear triangular nine D.O.F. element for the analysis of thick to very thin plates , 1989 .

[58]  S. Osher,et al.  A level set approach for computing solutions to incompressible two-phase flow , 1994 .

[59]  J. Sethian,et al.  Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations , 1988 .

[60]  M. M. Cross.  Rheology of non-Newtonian fluids: A new flow equation for pseudoplastic systems , 1965 .

[61]  Satoru Yamamoto,et al.  Dynamic simulation of fiber suspensions in shear flow , 1995 .

[62]  G. P. Tandon,et al.  The effect of aspect ratio of inclusions on the elastic properties of unidirectionally aligned composites , 1984 .

[63]  E. Michaelides,et al.  A numerical study of bubble growth during low pressure structural foam molding process , 1990 .

[64]  J. Monaghan,et al.  Smoothed particle hydrodynamics: Theory and application to non-spherical stars , 1977 .

[65]  D. J. Coyle,et al.  The kinematics of fountain flow in mold‐filling , 1987 .

[66]  Y. Benveniste,et al.  A new approach to the application of Mori-Tanaka's theory in composite materials , 1987 .

[67]  G. Batchelor,et al.  Slender-body theory for particles of arbitrary cross-section in Stokes flow , 1970, Journal of Fluid Mechanics.

[68]  Arthur K. Doolittle,et al.  Studies in Newtonian Flow. II. The Dependence of the Viscosity of Liquids on Free‐Space , 1951 .

[69]  Lih-Sheng Turng.  Development and application of CAE technology for the gas‐assisted injection molding process , 1995 .

[70]  B. Fisa,et al.  Weldline strength in glass fiber reinforced polyamide 66 , 1995 .

[71]  Andrew N. Hrymak,et al.  Finite element simulation of fountain flow in injection molding , 1986 .

[72]  I. Krieger,et al.  Rheology of monodisperse latices , 1972 .

[73]  G. Dvorak,et al.  On a Correspondence Between Mechanical and Thermal Effects in Two-Phase Composites , 1990 .

[74]  Richard M. Christensen,et al.  A critical evaluation for a class of micro-mechanics models , 1990 .

[75]  C. A. Hieber,et al.  Toward a viscoelastic modelling of the injection molding of polymers , 1980 .

[76]  A. Kelly,et al.  Tensile properties of fibre-reinforced metals: Copper/tungsten and copper/molybdenum , 1965 .

[77]  Roger Pierre.  Optimal selection of the bubble function in the stabilization of the P1-P1 element for the Stokes problem , 1995 .

[78]  George L. Hand,et al.  A theory of anisotropic fluids , 1962, Journal of Fluid Mechanics.

[79]  Suresh G. Advani,et al.  Closure approximations for three‐dimensional structure tensors , 1990 .

[80]  Robert C. Armstrong,et al.  A Rheological Equation of State for Semiconcentrated Fiber Suspensions , 1984 .

[81]  Satoru Yamamoto,et al.  A method for dynamic simulation of rigid and flexible fibers in a flow field , 1993 .

[82]  S. Chandrasekhar.  Stochastic problems in Physics and Astronomy , 1943 .

[83]  J. Hoffman,et al.  Theory of Formation of Polymer Crystals with Folded Chains in Dilute Solution , 1960, Journal of research of the National Bureau of Standards. Section A, Physics and chemistry.

[84]  F. J. Lim,et al.  Wall slip of narrow molecular weight distribution polybutadienes , 1989 .

[85]  Richard Schapery.  Thermal Expansion Coefficients of Composite Materials Based on Energy Principles , 1968 .

[86]  S. Hatzikiriakos,et al.  Wall slip of molten high density polyethylenes. II. Capillary rheometer studies , 1992 .

[87]  H. A. Lord,et al.  Mold‐filling studies for the injection molding of thermoplastic materials. Part I: The flow of plastic materials in hot‐ and cold‐walled circular channels , 1975 .

[88]  N. Phan-Thien,et al.  A new constitutive model for fibre suspensions: flow past a sphere , 1991 .

[89]  B. H. A. A. van den Brule.  The non-isothermal elastic dumbbell: A model for the thermal conductivity of a polymer solution , 1990 .

[90]  Masao Doi,et al.  Variational principle for the Kirkwood theory for the dynamics of polymer solutions and suspensions , 1983 .

[91]  N. Phan-Thien.  A Nonlinear Network Viscoelastic Model , 1978 .

[92]  M. E. Ryan,et al.  Computer simulation of injection mold filling for viscoelastic melts with fountain flow , 1986 .

[93]  T. Chan,et al.  A Variational Level Set Approach to Multiphase Motion , 1996 .

[94]  M. Grmela,et al.  Modelling the rheological behaviour of fibre suspensions in viscoelastic media , 1994 .

[95]  Douglass S. Kalika,et al.  Wall Slip and Extrudate Distortion in Linear Low‐Density Polyethylene , 1987 .

[96]  A. Gibson,et al.  Rheology and fibre orientation in the injection moulding of long fibre reinforced nylon 66 composites , 1990 .

[97]  K. Friedrich,et al.  Microstructure and fracture behaviour of short and long fibre-reinforced polypropylene composites , 1990 .

[98]  K. Tanaka,et al.  Average stress in matrix and average elastic energy of materials with misfitting inclusions , 1973 .

[99]  Jonathan S. Colton,et al.  The nucleation of microcellular thermoplastic foam with additives: Part I: Theoretical considerations , 1987 .

[100]  Hans Christian Öttinger,et al.  Stochastic Processes in Polymeric Fluids , 1996 .

[101]  S. Hatzikiriakos.  A Slip Model for Linear Polymers Based on Adhesive Failure , 1993 .

[102]  H. Janeschitz-Kriegl,et al.  Crystallization processes in quiescent and moving polymer melts under heat transfer conditions , 1990 .

[103]  N. Suh,et al.  Performance prediction of weldline structure in amorphous polymers , 1986 .

[104]  Zvi Hashin,et al.  Effective thermal expansion coefficients and specific heats of composite materials , 1970 .

[105]  P. Zoller,et al.  Pressure—volume—temperature studies of semi-crystalline polymers , 1994 .

[106]  N. Phan-Thien,et al.  A theoretical and numerical study of non-Fourier effects in viscometric and extensional flows of an incompressible simple fluid , 1992 .

[107]  A. Keller,et al.  Flow induced crystallization of polyethylene melts , 1973 .

[108]  Mustafa Kamal,et al.  The injection molding of thermoplastics part II: Experimental test of the model , 1972 .

[109]  H. A. Lord,et al.  Mold‐filling studies for the injection molding of thermoplastic materials. Part II: The transient flow of plastic materials in the cavities of injection‐molding dies , 1975 .

[110]  R. Hill.  Elastic properties of reinforced solids: some theoretical principles , 1963 .

[111]  R. Webster.  An Algebraic Multigrid Solver for Navier-Stokes Problems in the Discrete Second-Order Approximation , 1996 .

[112]  M. Avrami.  Kinetics of Phase Change. I General Theory , 1939 .

[113]  A. Hrymak,et al.  The Effect of Fountain Flow on Molecular Orientation in Injection Molding , 1988 .

[114]  S. Chen,et al.  Simulations of gas penetration in thin plates designed with a semicircular gas channel during gas-assisted injection molding , 1996 .

[115]  H. H. Chiang,et al.  Shear‐rate‐dependence modeling of polymer melt viscosity , 1992 .

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

[117]  J. Pittman,et al.  Equivalent ellipsoidal axis ratios of slender rod-like particles , 1975 .

[118]  Fpt Frank Baaijens.  Calculation of residual stresses in injection molded products , 1991 .

[119]  S. G. Mason,et al.  Particle Motions in Sheared Suspensions. XXIV. Rotation of Rigid Spheroids and Cylinders , 1968 .

[120]  Carlos A. Felippa,et al.  A triangular membrane element with rotational degrees of freedom , 1985 .

[121]  M. Denn,et al.  Instabilities in polymer processing , 1976 .

[122]  Yuh-Chung Wang,et al.  Effective thermal conductivity of misoriented short-fiber reinforced thermoplastics , 1996 .

[123]  S. Edwards,et al.  The computer study of transport processes under extreme conditions , 1972 .

[124]  Claude Cohen,et al.  Measurement of thermal conductivity of polymer melts by the line‐source method , 1990 .

[125]  M. Rezayat,et al.  A thermoviscoelastic model for residual stress in injection molded thermoplastics , 1991 .

[126]  Charles L. Tucker,et al.  Flow regimes for fiber suspensions in narrow gaps , 1991 .

[127]  H. Meijer,et al.  Screw design in injection molding , 1989 .

[128]  S. Hatzikiriakos,et al.  Wall slip of molten high density polyethylene. I. Sliding plate rheometer studies , 1991 .

[129]  M. Fortin,et al.  A stable finite element for the stokes equations , 1984 .