Creep Effect on the J-Integral around a Crack Tip in a Cracked Nonlinear Viscoelastic Plate of PVC

摘要

The J-integral method, developed by Rice in 1968, assesses the energy release rate in the case of a linear or nonlinear elastic material. This energy was recorded for the formulation of cracks criteria failure and instability. The present work focuses on the study of the evolution of this integral in the case of a nonlinear viscoelastic material when it undergoes creep under constant stress. An analytical approach and a numerical simulation, based on the finite element method, have been developed for determining the rate of energy release. The analytical approach is based on the stress field and intensity factors in the vicinity of the crack tip located on a PVC plate, taking into account the nonlinear viscoelastic behavior of this material. The comparison between analytical and numerical results shows a good agreement.