A sensing system for use in monitoring the structural health of a structure such as a polymeric matrix composite structure is provided. The system includes a sensor formed from a conductive ink containing carbon nanofibers and a polymeric resin, and a data acquisition system for acquiring and evaluating data from the sensor. The conductive ink may be applied directly to the structure to be monitored in the form of a grid pattern. Damage to the structure may be detected by measuring changes in resistance values detected from the sensor.