Linear viscoelastic constitutive relation upon particle-reinforced composite

In order to quantitatively analyze mechanical property of the viscoelastic particle-reinforced composite, according to the micromechanics of composite and the principle of Laplace, an improved three-dimensional viscoelastic constitutive relation of the particle-reinforced composite was proposed based on Tan's viscoelastic model. The improved model overcame a problem that the Tan's model only prescribes the interfacial debonding. Under the condition of a constant strain rate, numerical simulation of viscoelastic constitutive relations with the particle-reinforced composite was finished by Nonlinear FEM. The results show that the approach and program are valid for stress-strain quantitative analysis of the viscoelastic materials under different conditions, such as different particle size, temperature, constant strain rate, particle volume fraction. Meanwhile, interfacial debonding is easy to occur for the particle-reinforced composite with high particle volume fraction and large size particle.