Constitutive equations of rubber based on molecular chain network model and evaluation of deformation behaviors of particle-filled rubbers

抄録

The constitutive equations for rubbers that are derived based on the molecular chain network model and their generalization to account for the non-affine deformation and viscoelastic deformation of rubbers are presented for the evaluation of the complex deformation behaviors under monotonic and cyclic deformation at different strain rates. Several applications of the constitutive equations using the finite element homogenization method for the evaluation of microscopic to macroscopic deformation behaviors of particles such as carbon black and silica-filled rubbers are addressed. The typical deformation behavior of rubbers and the essential mechanism of enhancement in the mechanical characteristics of particle-filled rubbers under monotonic and cyclic straining are clarified focusing on findings from our recent works.