Shamir's Simple Sharing Scheme - preventing partial recovery of data
With SSS you are sharing field elements, so if the secret to be shared is larger than one field element, you are going to have to break up the secret somehow and share the parts. I am not aware of any standard method that allows you to make the sharings dependent on one another. Probably the best way is to encrypt the secret with a key and then share the key (using Shamir) and the encrypted secret (e.g using an appropriate erasure code) and store the share/fragment parts at different locations.

Note that this is not a problem of SSS. In SSS if a share is slightly corrupted it cannot be used in reconstruction. 

You could also pick a field large enough for your secret.