In this paper we consider the initial boundary value problem for a nonlinear damping and a delay term of the form:
\begin{equation} |u_{t}|^{l}u_{tt}-\Delta u(x,t)-\Delta u_{tt}+\mu_{1}|u_{t}|^{m-2}u_{t}\\ +\mu_{2}|u_{t}(t-\tau)|^{m-2}u_{t}(t-\tau)=b|u|^{p-2}u,\nonumber \\ \end{equation}with initial conditions and Dirichlet boundary conditions. Under appropriate conditions on \(\mu_{1},\,\ \mu_{2}\), we prove that there are solutions with negative initial energy that blow-up finite time if \(p\geq\max\{l+2,m\}\).