Information entropy theory is used to analyze viscoelastic and viscoplastic problems. Based on the comparison of information entropy corresponding to the element's elastic strain energy and total strain energy, it is found that the energy corresponding to irreversible rheological strain is dissipative. The information entropy calculated by element’s elastic strain energy can exactly reflect the development of rock structure from disorder to order. Furthermore, information entropy is applied to the failure analysis of accelerated rheology of different rock structures. It is shown that the information entropy is well consistent with the node ' s displacement. Information entropy reduces gradually as energy dissipates, and then reaches the minimum value when the accelerated rheology of rock structure is destroyed.