Fabrication of through-substrate via (TSV) structures is facilitated by: forming at least one stress buffer within a substrate; forming a through-substrate via contact within the substrate, wherein the through-substrate via structure and the stress buffer(s) are disposed adjacent to or in contact with each other; and where the stress buffer(s) includes a configuration or is disposed at a location relative to the through-substrate via conductor, at least in part, according to whether the TSV structure is an isolated TSV structure, a chained TSV structure, or an arrayed TSV structure, to customize stress alleviation by the stress buffer(s) about the through-substrate via conductor based, at least in part, on the type of TSV structure.