Background <p>The existing analytical models used to identify the transverse elastic modulus from single fiber transverse compression (SFTC) test almost all consider a circular cross-section. Only one work has proposed an adaptation for elliptical cross-section which still fails to accurately reproduce the force-displacement curve for high ellipticity.</p> Objectives <p>The aim of this study is to introduce a novel analytical model capable of faithfully replicating the transverse behavior of elliptical fibers during SFTC test.</p> Methods <p>To take into account the ellipticity of the fiber, the analytical model of Jawad and Ward is adapted using an equivalent contact radius derived from Hertzian contact theory. The proposed model is validated through a finite element analysis (FEA).</p> Results <p>From the force/displacement curve obtained with the finite element analysis, the transverse elastic modulus of elliptical fibers (with ellipticity varying from 0 to 0.8) is correctly identified, by inverse method, with the proposed model. The maximum relative difference between the identified modulus and that defined in the FEA remains less than 1.2%.</p> Conclusion <p>The analytical model proposed in this work precisely reproduces the behavior of an elliptical fiber during SFTC test, regardless of its ellipticity.</p>

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Analytical Model of Transverse Compression of Single Fiber with Elliptical Cross-Section

  • V. Guicheret-Retel,
  • B. Sabillah,
  • V. Placet,
  • F. Boutenel

摘要

Background

The existing analytical models used to identify the transverse elastic modulus from single fiber transverse compression (SFTC) test almost all consider a circular cross-section. Only one work has proposed an adaptation for elliptical cross-section which still fails to accurately reproduce the force-displacement curve for high ellipticity.

Objectives

The aim of this study is to introduce a novel analytical model capable of faithfully replicating the transverse behavior of elliptical fibers during SFTC test.

Methods

To take into account the ellipticity of the fiber, the analytical model of Jawad and Ward is adapted using an equivalent contact radius derived from Hertzian contact theory. The proposed model is validated through a finite element analysis (FEA).

Results

From the force/displacement curve obtained with the finite element analysis, the transverse elastic modulus of elliptical fibers (with ellipticity varying from 0 to 0.8) is correctly identified, by inverse method, with the proposed model. The maximum relative difference between the identified modulus and that defined in the FEA remains less than 1.2%.

Conclusion

The analytical model proposed in this work precisely reproduces the behavior of an elliptical fiber during SFTC test, regardless of its ellipticity.