I asked the local service provider, but they said that they do not have disassembly guides for external HDDs. After removing the screws, it seems that it should be possible to remove the ends of the case, but something inside is either still connecting them, or it is stuck.
I don't have other backup of the data (that was it), and it is not especially critical, but I would like to find out which part is dead (that is, the electronics of the house or the HDD), and use the one that is still working.
Re: Disassembling an external hard drive
in response to: eldar40k
I had a broken Toshiba External Disk as well and I just "brute-forced" the solution: on the rear side (where the connectors are), there is a metal blind that has no screws - it is glued. You can remove it carefully. Beneath it you find the screws!