In this paper, we study dependence of the elongation fatigue life of carbon black filled SBR vulcanizates on particles concentration by using a phase transition model of a particles dispersed structure, a complex reaction model of fatigue fracture, normalized fatigue life equations and Griffith's brittle fracture equation. We show that the dependence of life curve on particles concentration has maximum value at the phase transition point of the particles dispersed structure and deduce the following equation,
t
b=C•K
m•τ
b(V
f)
=C•K
m•ε
b(V
f)/v
where τ
b (
Vf) and ε
b (
Vf) are fracture time and elongation at break for particles volume fraction
Vf, K is stress ratio,
v is strain speed,
C and
m are constants. And particles volume fraction at maximum life agrees with the turning points of dependence on particles concentration of entropic modulus ratio, static modulus, fracture strain and fracture time. In addition, the dependence of tensile strength on particles concentration corresponds to that of entropic stress and has maximum value for the same volume fraction of particles. And so the turning point of dependence of life is different from that of tensile strength.
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