Journal of Siberian Federal University. Mathematics & Physics / Strong Bending of a Beam from a Fibrous Composite, Differently Resistant to Tension and Compression

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Journal of Siberian Federal University. Mathematics & Physics. 2019 12 (5)
Annin, Boris D.; Sadovskii, Vladimir M.; Petrakov, Igor E.; Vlasov, Anton Yu.
Contact information
Sadovskii, Vladimir M.: Institute of Computational Modelling RAS SB Akademgorodok, 50/44 Krasnoyarsk, 660036 Russia; ; Petrakov, Igor E.: Institute of Mathematics and Computer Science Siberian Federal University Svobodny, 79, Krasnoyarsk, 660041 Russia; ; Vlasov, Anton Yu.: Reshetnev Siberian State University of Science and Technology Semafornaya, 433/1, Krasnoyarsk, 660059 Russia;
fiber reinforced composite; bending state; different resistance to tension and compression; axial deformation; Tymoshenko effect; Cosserat effect

For the analysis of bending of a thin rod made of fiber composite, the generalized Euler elastic equation is used, taking into account different resistance of the material to tension and compression, the influence of transverse shear, elongation of the axis and independent rotations of the reinforcing elements relative to the matrix. Based on Newton’s method, a computational algorithm has been developed for solving the static bending problem. A method for determining phenomenological parameters of the composite has been implemented, including photographing the bending state of the rod under the action of a system of forces and couple forces, digital processing of the photography and solving the inverse coefficient problem. The method was validated by comparing the results of computations with a laboratory physical experiment. It is shown that the moduli of elasticity in tension and compression of carbon fiber composite used in the experiment, essentially differ, and that the use of equal moduli in determining bending stiffness results in a significant error in the deflection calculations

Paper at repository of SibFU