Can anyone help me in the file I have attached. After some time increment unsuccessful attempts start irrespective of the total time period or change in the displacement.
Unsuccessful attempts happen for 2 reasons probably, you already excluded the timestep and displacement increment cause:
(1) The deformation of an element is too high, then it would be recommended to use adaptive meshing. Also triangles and tetrahedon elements behave stiffer and more stable but also fail after a certain deformation threshold is reached
(2) The condition number of the stiffness matrix is too high so it makes the model hard to solve each iteration. If this is the case, the eigenvalues cannot be found given the FEM deformation on top after some timesteps.
Try to simplify what is reasonable or replace it by springs etc...