Semiconductor wafers having a thin layer of strained semiconductor material. These structures include a substrate; an oxide layer upon the substrate; a silicon carbide (SiC) layer upon the oxide layer, and a strained layer of a semiconductor material in a strained state upon the silicon carbide layer, or a matching layer upon the donor substrate that is made from a material that induces strain in subsequent epitaxially grown layers thereon; a strained layer of a semiconductor material of defined thickness in a strained state; and an insulating or semi-insulating layer upon the strained layer in a thickness that retains the strained state of the strained layer. The insulating or semi-insulating layers are made of silicon carbide or oxides and act to retain strain in the strained layer.