マルコフ過程によるCFRP積層板トランスバースクラック飽和挙動の確率論的逆解析

抄録

It is well known that the transverse cracks (TCs) generated in CFRP laminates are saturated, and the number of saturated TCs varies widely. This paper presents a stochastic approach for the TC saturation characteristics cumulated in a CFRP cross-ply laminate under tensile loading. An inverse analysis mechanics model was proposed on the basis of Markov process combined with a matrix cracking model which was derived on the basis of slow crack growth (SCG) concept in conjunction with the Weibull distribution. The analysis model is assumed that each discrete stage is assigned in the order of the TCs generation, and that it transits to two states i.e., continuously generated and saturated states from one state. The saturated TCs data was stochastically analyzed using the analysis model. The estimated TC saturation probability curves approached the experimentally obtained saturation TCs data with an increase in the number of TCs and ultimately agreed with them. The measured and estimated mean number of saturated TCs was in good agreement.