An Adaptive Voronoi Algorithm In Time Domain For Viscoelastic Inclusion Problem

The viscoelastic particulate reinforced composites have been utilized in many industries widely, such as aerospace, automobile and electronic industry. Their viscoelastic property is influenced by the spatial distribution in the matrix, size and material property of the inclusion. The analytical solution of the viscoelastic particulate reinforced composites is hard to obtain because of the complicated viscoelastic behavior and the analysis in time domain. How to build a numerical model which can reflect the randomicity of the spatial distribution in the matrix, size and shape of the inclusions and ensure the computational accuracy in time domain has been become one of the significant topics in the field of mechanics.Based on an adaptive algorithm in time domain and Voronoi cell finite element method, this paper proposed a numerical model for viscoelastic inclusion. This method expands the displacement, stress/strain, governing equation, constitutive equation and boundary condition in time domain. In this way the recursive finite element model of the related fields is obtained and the accuracy in time domain can be controlled by adaptive technique. Numerical examples are provided to verify the proposed model, and satisfactory results are obtained, considering the influence of different time step.This paper provides a valuable reference for the numerical simulation of viscoelastic inclusion problems, and its application to related practical problem is looked forward to.