Blend rules for homogenous and heterogenous systems

✍ Scribed by Junji Furukawa

• Publisher: John Wiley and Sons
• Year: 1994
• Tongue: English
• Weight: 346 KB
• Volume: 51
• Category: Article
• ISSN: 0021-8995
• DOI: 10.1002/app.1994.070510119

✦ Synopsis

Blend rules for ( a ) homogeneous and ( b ) heterogeneous systems are proposed in a form of P = (@;"PI + @pP2)/(4;" + d?), where P is the property, and 4, the volume fraction of component 1 or 2. For ( a ) m > 1 and for Pz > P1, an S-shaped relation occurs between P or &. On the contrary, for ( b ) m < 1, an anti-S-shaped relation occurs. When the hard component forms particles in continuous soft media, P is larger than the arithmetic mean P . When the interface slips, a mean of harmonic function holds so that 1 / P = & / P I + &/ P2 and P < P . For special cases, i.e., the filler in the rubber and the rubber particles in the resin, the strength at break attains a maximum at 20 and 13% of particles, respectively. For rubber blended with a small amount of polypropylene by dynamic vulcanization, the latter forms a continuous phase, reinforcing rubber domains by the plastic force when the size of rubber particles becomes very small.