A through-substrate via (TSV) structure includes at least two electrically conductive via segments embedded in a substrate and separated from each other by an electrically conductive barrier layer therebetween. The length of each individual conductive via segment is typically equal to, or less than, the Blech length of the conductive material so that the stress-induced back flow force, generated by each conductive barrier layer, cancels the electromigration force in each conductive via segment. Consequently, the TSV structures are immune to electromigration, and provide reliable electrical connections among a chips stacked in 3 dimensions.