This study shows the benefit of a new composite material in terms of energy absorption for the automotive application. The ability of a tubular structure made of a glass fibers-reinforced thermoplastic matrix to absorb energy has been studied in this work. The pseudoplastic behavior of +45 orientation used to build the different specimens allows a great level of damage in the composite. In particular, the influence of the section of the absorber on the global response to the shock and so on the amount of absorbed energy has been checked. A continuum mechanics model on Abaqus is used to compare different kinds of sections too complexed to be manufactured by standard process at low cost. The use of an external conical trigger is studied and presents a more stable energy absorption, constant all along the crushing.