TITLE:
Analytical Solutions of a Symmetrical Dynamic Crack Model of Bridging Fibers in Unidirectional Composites
AUTHORS:
Nianchun Lü, Yunhong Cheng, Yuntao Wang, Jin Cheng
KEYWORDS:
Composite Materials; Bridging Fibers; Analytical Solutions; Crack; Variable Loads
JOURNAL NAME:
World Journal of Mechanics,
Vol.3 No.5A,
August
23,
2013
ABSTRACT: When composite materials occur crack, their fibrous locations will
produce bridging fibers. A symmetrical dynamic crack model of bridging fibers in
unidirectional composite materials are not probed as deeply by virtue of the complexity,
cockamamie and difficulty in mathematical operations. In the light of the
theory of complex variable functions, the problems discussed can be facilely translated
into Remann-Hilbert problems. Analytical solutions of the displacements,
stresses and stress intensity factors under the action of variable loads Pt6/x6, Px6/t5 are attained,
respectively. After those analytical solutions were used by superposition
theorem, the solutions of arbitrary complex problems were acquired.