Systems and sensor elements for indirect monitoring of cumulative damage to downhole components are described. The systems include a sensor body defining an internal cavity with at least one electrical wear element located within the sensor body. A portion of the at least one electrical wear element electrically extends from the internal cavity, through the sensor body, and to an exterior of the sensor body. An abrasive substance is located within the internal cavity, the abrasive substance being moveable within the internal cavity to contact and erode material of the at least one electrical wear element such that erosion of the at least one electrical wear element causes a resistance of the at least one electrical wear element to increase.