Elasticity theory and crosslinking of reinforced rubber

✍ Scribed by A. F. Blanchard

• Publisher: John Wiley and Sons
• Year: 1998
• Tongue: English
• Weight: 216 KB
• Volume: 67
• Category: Article
• ISSN: 0021-8995
• DOI: 10.1002/(sici)1097-4628(19980103)67:1<119::aid-app14>3.0.co;2-x

✦ Synopsis

For filler fraction C, molecular weight M c between crosslinks, and equilibrium swelling v r , the Flory function M c Å F(v r ) was corrected for a hard fraction C h Å (1 / b)C, bC being rubber occluded within the primary filler structure. However, a small effect of a Graphon filler was unjustifiably attributed to rubber stretched hard by swelling; later research wrongly attempted to estimate b from F(v r )/F(v c ) where v c considers the hard filler as rubber. By avoiding these mistakes, and with 1/F o (v r ) as unfilled crosslinking, Blanchard's constraint equations for linkage reinforcement f and reinforced crosslinking 1/ M c are now simplified to

Here (1 / V ) allows for network dilution by filler volume V per milliliter of rubber, C Å V/(1 / V ), and bC is rubber occluded within the particle aggregate structure of carbon blacks. The measured (effective) crosslinking 1/M É c is obtained by omitting (1 0 bC)/(1 / bC) from the above equations. The structure parameter b might be determined from G r using the present test prescription and modern furnace blacks with negligible to high structure.