In various embodiments, a polycrystalline diamond compact (“PDC”) comprises a substrate including an interfacial surface having a raised region. The PDC comprises a polycrystalline diamond (“PCD”) table bonded to the interfacial surface of the substrate. The PCD table defines an upper surface and exhibits a thickness over the raised region. The PCD table includes a plurality of bonded diamond grains defining a plurality of interstitial regions. A first region of the PCD table adjacent to the substrate includes metal-solvent catalyst disposed interstitially between the bonded diamond grains thereof, and a leached second region of the PCD table extends inwardly from the upper surface. The interstitial regions of the leached second region are depleted of metal-solvent catalyst. The geometry of the PCD table and raised region may be selected so that residual compressive stresses therein are retained to a sufficient level after leaching to provide a damage tolerant/thermally-stable PCD table.