Study of unidirectional fiber reinforced epoxy composites in short-beam bending test

The present paper deals with the computational study of unidirectional glass fiber reinforced epoxy composites in short-beam bending test and the comparison of the induced results with experimental and analytical results. The measurement of the interlaminar shear strength of composite beams, an important design variable in many applications, may be performed by short-beam three-point bending test. A two-dimensional finite element analysis is adopted throughout the composite beams in order to, on the one hand, correlate with the experimental results and, on the other hand, to obtain the stress distributions at the supports and at the loading points where usually there is an abrupt variation due to the indentation existing because of the noses. Thus, the linear variation of the normal stress according to bending theory is not valid near the supports and characteristics of curves. Similarly, the shear stress which shows, normally, a parabolic variation becomes a curve with a different shape near the point where the load is applied. The discrepancies among theoretical, experimental and Finite Element Method (FEM) results support the qualitative conclusions of the study concerning the significance of non-isotropy and point effects for the correct interpretation of the three-point bending tests-results.

[1]  J. Venetis,et al.  Study of Asymmetric Elastic Beams in Off-Axis Four-Point Bending , 2015 .

[2]  E. Theotokoglou,et al.  Study of asymmetric glass reinforced plastic beams in off-axis four-point bending , 2015 .

[3]  E. Theotokoglou,et al.  Study of composite beams in asymmetric four-point bending , 2011 .

[4]  M. Usal,,et al.  Static and Dynamic Analysis of Simply Supported Beams , 2008 .

[5]  Mustafa Reşit Usal,et al.  The Effects of Shear on the Deflection of Simply Supported Composite Beam Loaded Linearly , 2006 .

[6]  A. J. Goldberg,et al.  Shear in Flexure of Fiber Composites with Different End Supports , 2003, Journal of dental research.

[7]  J. Whitney,et al.  On short-beam shear tests for composite materials , 1985 .

[8]  P. Sandorff Saint-Venant Effects in an Orthotropic Beam , 1980 .

[9]  T. Chiao,et al.  Measurement of shear properties of fibre composites: Part 1. Evaluation of test methods , 1977 .

[10]  E. Reissner XXXVIII. A contribution to the theory of elasticity of non-isotropic materials (with applications to problems of bending and torsion) , 1940 .

[11]  C. A. Carus Wilson,et al.  LX. The influence of surface-loading on the flexure of beams , 1891 .

[12]  C. Wilson The Influence of Surface-Loading on the Flexure of Beams , 1890 .

[13]  Liping Liu THEORY OF ELASTICITY , 2012 .

[14]  M. Israeli,et al.  Analysis of Short Beam Bending of Fiber Reinforced Composites , 1972 .

[15]  B. K. Daniels,et al.  Short beam shear tests of graphite fiber composites , 1971 .

[16]  A. Knoell Basic concepts in composite beam testing , 1970 .

[17]  Friedrich Seewald Die Spannungen und Formänderungen von Balken mit rechteckigem Querschnitt , 2022 .

[18]  G. M.,et al.  A Treatise on the Mathematical Theory of Elasticity , 1906, Nature.

[19]  L. Filon On an approximate solution for the bending of a beam of rectangular cross-section under any system of load, with special reference to points of concentrated or discontinuous loading , 1902, Proceedings of the Royal Society of London.

[20]  A. Love A treatise on the mathematical theory of elasticity , 1892 .