A kinetic gelation method for the simulation of free-radical polymerizations

Abstract A new kinetic gelation simulation is presented to describe homopolymerizations of tetrafunctional monomers. The new simulation involves the incorporation of monomer molecules which occupy multiple sites with their functional groups at the ends, initiator molecules which decay into two radicals per initiator, and the incorporation of a crankshaft-type motion for all of the species on a face-centered cubic lattice. Illustrations of the simulation are presented along with results which indicate that a maximum conversion is attained and that the reactivity of the pendant functional group varies greatly over the course of the reaction due to the heterogeneity that appears during the polymerization.

[1]  K. Dušek,et al.  Vinyl-Divinyl Copolymerization: Copolymerization and Network Formation from Styrene and p- and m-Divinylbenzene , 1971 .

[2]  A. Matsumoto,et al.  Solvent effect in the copolymerization of methyl methacrylate with oligoglycol dimethacrylate , 1989 .

[3]  W. Stockmayer Theory of Molecular Size Distribution and Gel Formation in Branched Polymers II. General Cross Linking , 1944 .

[4]  R. Pandey,et al.  Qualitative percolation study of free-radical cross-linking polymerization , 1984 .

[5]  R. Pandey,et al.  Inhomogeneity during the bulk polymerisation of divinyl compounds: Differential scanning calorimetry experiments and percolation theory , 1985 .

[6]  P. Manneville,et al.  Percolation and Gelation by Additive Polymerization , 1981 .

[7]  H. Boots,et al.  Network formation by chain crosslinking photopolymerization and some applications in electronics , 1989 .

[8]  L. Leibler,et al.  Large-scale heterogeneities in randomly cross-linked networks , 1988 .

[9]  D. Stauffer,et al.  New Universality Class for Kinetic Gelation , 1982 .

[10]  D. Kranbuehl,et al.  Monte Carlo studies of the relaxation of vector end-to-end length in random-coil polymer chains. , 1972 .

[11]  K. Dušek,et al.  Formation‐structure relationships in polymer networks , 1985 .

[12]  A. Hamielec,et al.  A kinetic model for network formation in free radical polymerization , 1988 .

[13]  A. Hamielec,et al.  Modeling of network formation in free radical polymerization , 1989 .

[14]  G. Simon,et al.  Dynamic mechanical properties and cross-polarized, proton-enhanced, magic angle spinning carbon-13 NMR time constants of poly[oligo(ethylene glycol)dimethacrylates] , 1989 .

[15]  Dietrich Stauffer,et al.  Computer simulation of kinetics of gelation by addition polymerization in a solvent , 1984 .

[16]  C. Bowman,et al.  Initiation and termination mechanisms in kinetic gelation simulations , 1991 .

[17]  W. Funke Reactive microgels—polymers intermediate in size between single molecules and particles , 1989 .

[18]  G. Simon,et al.  Nature of residual unsaturation during cure of dimethacrylates examined by CPPEMAS carbon-13 NMR and simulation using a kinetic gelation model , 1989 .

[19]  Douglas R. Miller,et al.  A New Derivation of Post Gel Properties of Network Polymers , 1976 .

[20]  C. Macosko,et al.  A new derivation of average molecular weights of nonlinear polymers. , 1976, Macromolecules.

[21]  N. Peppas,et al.  Kinetic modeling of copolymerization/cross-linking reactions , 1986 .

[22]  Walter H. Stockmayer,et al.  Theory of Molecular Size Distribution and Gel Formation in Branched‐Chain Polymers , 1943 .