Elasto-plastic stress analysis of polymer matrix composite beams under in-plane load effect

Composite beams are durable elements that can be produced in various structures, consisting of at least two material systems, in different loading installations in structures and machine elements. In this study, the solution of elasticity problem is provided by Airy Stress Function proposed as a 5th order non-uniform polynomial for elasto-plastic stress analysis of polymer matrix continuous fiber reinforced composite beam under in-plane load. Polyethylene matrix composite reinforced with Cr-Ni steel fibers was taken as the beam material and the material was accepted as ideal elasto-plastic. Tsai-Hill Yield Criterion was used for the elasto-plastic solution. The effect of fiber angle on the results was investigated in two different boundary conditions, simply supported and fixed beam.