Analytical Solution of the 4ENF Test with Interlaminar Frictional Effects and Evaluation of Mode II Delamination Toughness
Publication: Journal of Engineering Mechanics
Volume 144, Issue 4
Abstract
The present paper proposes an analytical solution of the four points bend end-notched flexure test (4ENF) with frictional contact between the delamination surfaces. The analytical solution was developed in the framework of the classic Euler-Bernoulli bending beam theory with orthotropic linear elastic constitutive behavior. The frictional contact was modeled as rigid–perfectly plastic with the Mohr-Coulomb activation function and the nonassociative flow rule. The elastic solution of the partially cracked beam subjected to the four points bending test with frictional contact was developed, and the Mode II delamination toughness was analytically determined by means of the Griffith approach, as a function of the delamination load, geometry specimen, and frictional coefficient. The 4ENF delamination test was also numerically solved by two-dimensional (2D) finite-element analysis with a cohesive-frictional interface, and the results were compared with the analytical beam solutions. The comparison showed a very good accuracy of the analytical solution, even though it was based on the simple beam theory.
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Acknowledgments
The financial support of the Italian Ministry for University and Research (MIUR), under the Grant PRIN-2015, Project No. 2015LYYXA8, “Multiscale mechanical models for the design and optimization of microstructured smart materials and metamaterials” is gratefully acknowledged.
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Published In
Journal of Engineering Mechanics
Volume 144 • Issue 4 • April 2018
Copyright
©2018 American Society of Civil Engineers.
History
Received: May 30, 2017
Accepted: Oct 11, 2017
Published online: Feb 2, 2018
Published in print: Apr 1, 2018
Discussion open until: Jul 2, 2018
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