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We study Mode I fracture in a viscoelastic lattice model with a nonlinearforce law, with a focus on the velocity and linear stability of thesteady-state propagating solution. This study is a continuation both of thestudy of the piece-wise linear model in Mode I, and the study of more generalnonlinear force laws in Mode III fracture. At small driving, there is a strongdependency of the velocity curve on the dissipation and a strong sensitivity tothe smoothness of the force law at large dissipation. At large driving wecalculate, via a linear stability analysis, the critical velocity for the onsetof instability as a function of the smoothness, the dissipation and the ratioof lattice spacing to critical extension. This critical velocity is seen to bevery sensitive to these parameters. We confirm our calculations via directnumerical simulations of the initial value problem.Comment: Corrected typo

Mode-I fracture in a nonlinear lattice with viscoelastic forces