An apparatus for controlling fluid flow in a borehole in an earth formation includes a carrier configured to be deployed in the borehole and a shape memory device disposed at the carrier that includes a shape memory material having a glass transition temperature. The shape memory material is configured to modify the glass transition temperature to a temperature lower than a borehole temperature in response to a trigger, and change from a glass state to a rubber state in response to the borehole temperature to prevent fluid flowing through the shape memory device.