In this article, we deal with the initial boundary value problem for a viscoelastic system related to the quasilinear parabolic equation with nonlinear boundary source term on a manifold M with corner singularities. We prove that, under certain conditions on relaxation function g, any solution u in the corner-Sobolev space H 1,( N−1 2 , N 2 ) ∂ 0M (M) blows up in finite time. The estimates of the life-span of solutions are also given
