Earlier, Aiden Markram had also expressed his interest to lead South Africa.
Elgar and Van der Dussen's 117-run stand resurrected the Proteas innings after early jitters.
In the pressure situation, Heinrich Klaasen scored 31 off 13 balls to put his team in a commanding position.
De Bruyn becomes the third concussion substitute in Tests after Labuschagne and Blackwood.
Elgar didn't come out to bat after the Tea break.
Ahead of third Test, Dean Elgar complained of facilities and food provided in India.
South Africa is currently playing 3rd Test of the series in Ranchi.
Elgar is currently the Proteas leading run-scorer on the tour.
All the statistical highlights from the day that belonged to the resistance of the South African batsmen.
Ravindra Jadeja became the fastest left-arm bowler to pick 200 Test wickets in 44 games.