The elastocaloric effect underpins a promising solid-state heat pumping technology that, when adopted for commercial and residential applications, can revolutionize the cooling and heating industry due to low environmental impact and substantial energy savings. Known operational demonstration devices based on the elastocaloric effect suffer from low endurance of materials and, in most experimental systems, from large footprints due to bulky actuators required to provide sufficient forces and displacements. We demonstrate a new approach which has the potential to enable a more effective exploitation of the elastocaloric effect by reducing the forces required for actuation. Thin strips of NiTi were incorporated into composite structures with base polymer, such that bending the structures results in either exclusively compression or exclusively tension applied to the elastocaloric strips. The structures allow compression of thin elastocaloric strips without buckling, realize more than 50 % reduction in required forces for a given strain compared with axial loading, and open up a wide range of possibilities for compact, efficient elastocaloric devices.