An asymmetrical dynamic crack model of bridging fiber pull-out of composite materials |
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Authors: | Nian-chun Lü Xin-gang Li Yun-hong Cheng Jin Cheng |
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Institution: | (1) Mechanical Engineering Department, United Arab Emirates University, Al-Ain, P.O. Box 17555, UAE;(2) Department of Composite Materials Engineering, Winona State University, Winona, MN 55987, USA;(3) Civil and Environmental Engineering Department, United Arab Emirates University, Al-Ain, UAE; |
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Abstract: | When a crack occurs in composite materials, the fibrous system will form bridges, and the crack extends asymmetrically as
a rule. In this paper an asymmetrical dynamic crack model of bridging fiber pull-out of composite materials is presented for
analyzing the distributions stress and displacement under the loading conditions of an applied nonhomogenous stress and the
traction forces. Thus the fiber failure is ascertained by maximum tensile stress, the fiber ruptures and hence the crack propagation
should also appear in the modality of self-similarity. The formulation involves the development of a Riemann-Hilbert problem.
Analytical solution of an asymmetrical propagation crack of composite materials under the conditions of an increasing force
Px
2/t
2, Pt
2/x is obtained respectively. After those analytical solutions were utilized by superposition theorem, the solutions of arbitrary
complex problems could be gained. |
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Keywords: | |
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