Simulating a Material Until Breaking

Does anyone know if it is possible to simulate a material (for a user defined stress/strain curve) of rectangular prism geometry with one fixed face and one force applied outward (on the opposite face) in a nonlinear dynamic study until the material breaks?

Also, if the material was under a load higher than the max stress, would this cause a "failure in the first time step"?

SolidworksSimulation