Journals / Mathematical and Computational Applications / 2001 / Cilt: 6 - Sayı: 1

An elasto-plastic stress analysis in a polymer matrix composite beam of arbitrary orientation subjected to transverse uniformly distributed load

Pages
53–65
DOI
—
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⚡ TL;DR(Too Long; Didn't Read)

The intensity of the residual stress component of $\tau_{xy}$ is maximum on or around the x axis of the beam but the residual stress component of ox is maximum at the upper and lower surfaces.

📌 3 Key Takeaways

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Objective & Hypothesis:Polymer matrix composite beam of arbitrary orientation subjected to transverse uniformly distributed load is studied by an analytical elasto-plastic stress analysis.
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Key Findings & Data:The expansion of the plastic region and the residual stress component of $\sigma_x$ are determined for 0°, 30°, 45°, 60° and 90° orientation angles.
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Conclusion & Impact:The intensity of the residual stress component of $\tau_{xy}$ is maximum on or around the x axis of the beam but the residual stress component of ox is maximum at the upper and lower surfaces.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

Polymer matrix composite beam of arbitrary orientation subjected to transverse uniformly distributed load is studied by an analytical elasto-plastic stress analysis. In the elasto-plastic solution, the material is assumed to be perfectly plastic. A composite consisting of fiber reinforced polymer matrix was produced for this work. The expansion of the plastic region and the residual stress component of $\sigma_x$ are determined for 0°, 30°, 45°, 60° and 90° orientation angles. The yielding begins for 0° and 90° orientation angles at the upper and lower surfaces of the beam at the same distances from the free end. But, it starts first at the upper surface for 30°, 45° and 60° orientation angles. Sample problems are given for various orientation angles, x axis of the beam is used to obtain the location of the elasto-plastic boundary and to calculate elastic, elasto-plastic and residual normal and shear stresses. The intensity of the residual stress component of $\tau_{xy}$ is maximum on or around the x axis of the beam but the residual stress component of ox is maximum at the upper and lower surfaces.

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Cite This Article

ESENDEMİR, Ü. (2001). An elasto-plastic stress analysis in a polymer matrix composite beam of arbitrary orientation subjected to transverse uniformly distributed load. Mathematical and Computational Applications, Cilt: 6 - Sayı: 1, 53–65. https://ajindex.com/articles/280201

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