i tried with different time steps and different termination time but it does not work . The solver stops solving the problem as soon interaction between solid and SPH particles is about to happen.
Explicit codes such as LS Dyna have an algorithmic stability limit, which can't just be arbitrary set. You need to check what causes the low timestep and see if there is a different way of modelling that lets you run with a higher stable timestep without altering the physics of your problem too much.
Can you elaborate the Physics of your problem so that it becomes easier to understand the problem. This error usually occurs due to mismatch in contact of bodies but to understand it properly problem definition is important
It seems to me that your problem is nonlinear. If so and if you have incorrectly set the nonlinearity parameters, you may need to use very small integration steps. This is addressed in the literature. However let me introduce the papers to you later if I have not incorrectly understood your question. By the way, what you exactly mean by "contact instability"?