In this article, we consider the Euler-Bernoulli viscoelastic equation u(tt)(x,t) + Delta(2)u(x,t) - integral(t)(0) g(t-s)Delta(2)u(x,s)ds = vertical bar u vertical bar(p-1)u together with some suitable initial data and boundary conditions in Omega x (0, +infinity). Some sufficient conditions on blow-up of solutions are obtained under different initial energy states. And from these results we can clearly understand the competitive relatio...