文档介绍：Composite Structures 54 42001) 283±287
pstruct
A fuzzy set analysis for a fracture and fatigue damage
response posite materials
A. Muc *,
Institute of Mechanics and Machine Design, Cracow University of Technology, ul. Warszawska 24, 31-155 Krakow, Poland
Abstract
Experimental data, especially for fatigue tests, have ranges of scatter aected by variability in material microstructure from one
test specimen to another. In order to avoid such problems and on the other hand, to include variability in mechanical and geo-
metrical properties a fuzzy set approach have been adopted to the analysis of matrix cracking in cross-ply laminates. With the use of
®nite element modelling values of the J-integral have been evaluated as well as the shear lag eects have been studied. Numerical
results have been presented for plates with cracks subjected to remote tension. Ó 2001 Elsevier Science Ltd. All rights reserved.
Keywords: Fuzzy set analysis; Fracture and fatigue damage; Composite materials
1. Introduction ory. However, for situations when we do not have suf-
®cient experimental data or the values of parameters are
Many observations have con®rmed that the initiation of a non-stochastic nature, the fuzzy-set approach has
of damage in multidirectional laminates is often by been proposed [5±7] as a better and more natural ap-
matrix microcracks in the o-