Low velocity impact analysis of an AFG CNRC beam

What is it about?

It is expected that axially functionally graded (AFG) beams will be developed in the near future that they will allow a tailored fit of Young’s modulus, shear’s modulus, and density in axial direction to a special purpose. The investigations that are carried out in the field of AFG beams are on the static, dynamic and vibration analysis and there is no work reported on the low velocity impact response of an AFG beam. In this article, a new analytical model and ABAQUS simulation are presented for low velocity impact on an AFG carbon nanotube (CNT) reinforced cantilever beam.

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Why is it important?

In this article, by considering the third order shear deformation beam theory, a new stiffness and mass matrices based on Ritz method is presented for low velocity impact analysis of an AFG CNT-reinforced cantilever beams. Due to the transverse Young’s moduli of these beams is as a function of beam axial direction, an innovative formula is presented for its estimation in the contact area. Since the material properties of the AFG beam vary through the beam length, to its simulate in ABAQUS, the beam is divided into many partitions in axial direction also the number of layers are increased nearing the contact zone.