It is not uncommon for the door handle (latch release) to break on a Hyundai Elantra.
Typically the part where the cable locks in place could break or the door handle itself breaks due to excessive force. In this video series, you will learn how to replace the door handle.
Remove the door panel from the vehicle. One screw is behind the interior door handle. Plastic retainers are installed around the perimter of the door panel. Unplug all the electrical connectors fromt he door panel.
Remove the screws from the door handle to remove it.
Install a new door handle. Connect the door handle cables.
Reinstall the door panel. If any of the plastic retainers broke replace them.