They don't exist. Aluminium bars will always be stiffer.
Young's modulus of T700 carbon fibre, 230GPa. Young's modulus of 7005 T6 aluminium, 70GPa. Please show your working.
Orthotrope / isotrope? Carbon bars with a shit lay-up will be very flexy.
@Brommers started
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They don't exist. Aluminium bars will always be stiffer.