Diamond bonded construction comprise a diamond body attached to a support. In one embodiment, an initial substrate used to sinter the body is interposed between the body and support, and is thinned to less than 5 times the body thickness, or to less than the body thickness, prior to attachment to the support to relieve stress in the body. In another embodiment, the substrate is removed after sintering, and the body is attached to the support. The support has a material construction different from that of the initial substrate, wherein the initial substrate is selected for infiltration and the support for end use properties. The substrate and support include a hard material with a volume content that may be the same or different. Interfaces between the body, substrate, and/or support may be nonplanar. The body may be thermally stable, and may include a replacement material disposed therein.