An elastic/plastic solution for a thermoplastic composite cantilever beam loading by bending moment
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Date
2000
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Abstract
In this study, an elastic/plastic stress analysis is carried out for a thermoplastic composite cantilever beam loaded by a bending moment at the free end. The composite beam is reinforced by woven steel fibers, at 0, 15, 30 and 45° orientation angles. 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. It is found that the intensity of the residual stress component of σ(x) is a maximum at the upper and lower surfaces. The composite material is assumed to be as hardening linearly. The Tsai-Hill theory is used as a yield criterion. (C) 2000 Elsevier Science Ltd. All rights reserved.; In this study, an elastic/plastic stress analysis is carried out for a thermoplastic composite cantilever beam loaded by a bending moment at the free end. The composite beam is reinforced by woven steel fibers, at 0, 15, 30 and 45° orientation angles. 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. It is found that the intensity of the residual stress component of σx is a maximum at the upper and lower surfaces. The composite material is assumed to be as hardening linearly. The Tsai-Hill theory is used as a yield criterion.
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Bending moments , Boundary conditions , Cantilever beams , Differential equations , Dynamic loads , Elastoplasticity , Failure analysis , Plastic deformation , Residual stresses , Stress analysis , Thermoplastics , beam , bending property , fiber reinforced composite , loading , mechanical property , metal fiber , Polymer-matrix composites (PMC) , Thermoplastic composite cantilever beams , Tsai-Hill theory , Composite beams and girders