PLOT.cg
(Package: FCGR) :
Fatigue Crack Growth in Reliability plots
It provides graphical outputs composed of the trends corresponding to the crack length growth due to mechanical fatigue, the crack length estimates by the models, crack length predictions, and lifetime distribution estimates.
cracks.growth
(Package: FCGR) :
Fatigue crack growth in reliability analysis
It provides the lifetime distribution of metallic materials that fail due to the crack growth produced by mechanical fatigue efforts. The crack growth trends are fitted by linear or nonlinear mixed effects regression models in order to make predictions about the material lifetime. The lifetime is defined as the time passed before the material does not meet the specification requirements and it is conditioned by a critical crack length that induces the material failure. Three different methods can be applied to estimate the fatigue lifetime distribution: "SEP-lme_bkde" and "SEP-lme_kde" are nonparametric while "PB-nlme" corresponds to the parametric approach proposed by Pinheiro and Bates (2000).
FCGR-package
(Package: FCGR) :
Fatigue Crack Growth in Reliability
Fatigue Crack Growth in Reliability estimates the distribution of material lifetime due to mechanical fatigue efforts. The FCGR package provides simultaneous crack growth curves fitting to different specimens in materials under mechanical stress efforts. Linear mixed-effects models (LME) with smoothing B-Splines and the linearized Paris-Erdogan law are applied. Once defined the fail for a determined crack length, the distribution function of failure times to fatigue is obtained. The density function is estimated by applying nonparametric binned kernel density estimate (bkde) and the kernel estimator of the distribution function (kde). The results of Pinheiro and Bates method based on nonlinear mixed-effects regression (nlme) can be also retrieved. The package contains the crack.growth, PLOT.cg, IB.F, and Alea.A (database) functions.
IB.F
(Package: FCGR) :
Bootstrap confidence bands for fatigue lifetime
It performs bootstrap confidence bands for fatigue lifetime. The lifetime matrix is calculated by bootstrap resampling by means the above mentioned methodologies (see craks.growth). The confidence bands are estimated by the quantile based method.
providing 
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