A massage apparatus includes a frame defining a central opening, with a web of mesh cloth or fabric spanning the opening. A plurality of SMA wire segments span the central opening directly adjacent to the cloth or fabric. The wire segments are joined at opposed ends to a power circuit that provides ohmic heating for the wires. The wires may be actuated singly and sequentially, the contraction of each wire providing a compression of the body portion upon which it impinges. The apparatus may be a portable massage device for use with any chair, or built into a chair or bed or other furniture, or a slipcover.