A thermally driven elastocaloric system and a method for generating at least one of a heating potential and a cooling potential are provided. The thermally driven elastocaloric system includes a first shape memory alloy (SMA) member, a second shape memory alloy (SMA) member, and a connection mechanism configured between the distal end of the first SMA member and the distal end of the second SMA member. The connection mechanism is configured to transfer a force between the first SMA member and the second SMA member. The transfer of a compressive force to an SMA member may generate a heating potential in the SMA member, and the transfer of a tensile force to an SMA member may generate a cooling potential in the SMA member. Whether a compressive force or a tensile force is transferred may be dependent on whether heat is transferred to or from a SMA member.