You can use ABAQUS, WARP3D, ANSYS etc.

In principle, any commercial FEM software should be able to handle basic Computational Solid Dynamics. If the domain of interest is simply elasticity (linear or nonlinear), there is indeed a solution in the commercial FEM tools. For plastic or visco-elastic, you may not be able to find what you exactly looking for. In any case, you can incorporate your own model as is the case in ABAQUS which has a very rich library of material models.

Good Luck

The above-mentioned commercial packages might be useful!

However, it depends on the problem you want to tackle!

For instance, if you want to go for large strains in nearly incompressible material, you might not get the desirable results out due to numerical defficiencies you might face!