Phase angle as a function of
complex modulus of unmodified PHB (PHB_ex) and PHB modified with a mixture of TBPB and TAC (PHB_2A-D).
Even under these conditions the elastic and the
complex modulus will give good agreement.
The performed numerical simulations prove the ability of the newly proposed algorithm to assist the dynamic mechanical analysis in derivation of the
complex modulus of the viscoelastic material, providing an important theoretical tool for the study of the viscoelastic contact with fewer simplifying assumptions than other existing partially analytical solutions.
Theoretical Principle of Identifying Loss Factor of Fiber-Reinforced Composite Based on
Complex Modulus Method
They are defined with its norm and phase angle, respectively [absolute value of [E.sup.*]] and [[phi].sub.ez] for [E.sup.*] Viscous energy dissipation is then calculated using Eq (3) and measurements from
complex modulus tests for one cycle.
Good measures of the rheological properties are stiffness modulus S,
complex modulus G* and phase angle 8.
The
complex modulus and phase angles of the 3 crumb rubber TLA blends and the unmodified TLA were studied using an oscillatory dynamic shear rheometer (ATS RheoSystems) operated within the linear domain under strain control.
Its relatively high
complex modulus, G*, and its relatively low phase angle can be attributed to its composition.
The complex viscosity accounts for energy loss and storage in the similar way as for
complex modulus. Dynamic viscosity ([eta]) is basically same as complex viscosity but it measures the composite viscosity during mechanical oscillation as a function of temperature [38].
The rubber composition for a tire of the present invention is a rubber composition for a tire in which a
complex modulus [G.sup.*.sub.50[degrees]C] and a
complex modulus [G.sup.*.sub.100[degrees]C] satisfy the following fonuula (1): [G.sup.*.sub.100[degrees]C] /[G.sup.*.sub.50[degrees]C] > 0.85, an elongation at break [EB.sub.23[degrees]C] and a loss tangent tan [[delta].sub.50[degrees]C] is not less than 0.12.