If we are talking about the warping constant, then I believe it is usually neglected for closed sections (or in your case solid sections) since the warping constant is usually quite small relative to the torsion constant "J". The same is not true for open sections, where both the warping constant and torsion constant are used to determine the member (buckling) capacity of beams subject to bending.
Similar to Trenno, my experience is with Australian codes only.