An Elasto-Plastic Analysis of Thermoplastic Composite Cantilever Beam Loaded by a Single Force at Its Free End

Abstract

In the present study, an elastic-plastic stress analysis is carried out on a high-density thermoplastic-based composite cantilever beam loaded by a single force at its free end. An analytical solution is performed for satisfying both the governing differential equation in the plane stress case and boundary conditions for small plastic deformations. The solution is carried out under the assumption of the Bernoulli-Navier hypotheses. The composite material is assumed to be strainhardening. The Tsai-Hill theory is used as a yield criterion. The residual stress component of x are determined for 0, 30, 45, 60 and 90 orientation angles. It is found that the intensity of the residual stress is maximum at the upper and lower surfaces of the beam. The horizontal displacement component of u is greater than the vertical displacement component of v.

The Effects of Shear on the Deflection of Simply Supported Composite Beam Loaded Linearly

“…As seen from these tables, as the cross-sectional height of the beam Table 1. Mechanical properties of the thermoplastic composite beam [16]. increases, the shear effect also increases.…”

“…Their mechanical properties are given in Tables 1 and 2 [16,17]. First, the constant values t, c, and q were taken as 8, 15 mm, and 2 N/mm respectively.…”

Static and Dynamic Analysis of Simply Supported Beams

“…In order to determine the deflection function of the symmetry axis at the mid-point, it is necessary to insert x ¼ 0 and y ¼ 0 into Equation (20), to find:…”

“…The first of them is a thermoplastic composite reinforced by woven Cr-Ni steel fibers. Its mechanical properties are given in Table 1 [20]. The other is polymer matrix composite reinforced by unidirectional steel fibers.…”

“…These results are shown in Tables 3-4. Equation (18) and Equation (20) are evaluated in MATLAB program for different half beam lengths, different orientation angles and two different composite materials, as shown Figures 2-7. Finally, natural frequencies of these different composite materials are obtained.…”