Size effects in statistical fracture
نویسندگان
چکیده
منابع مشابه
Probability distribution of energetic-statistical size effect in quasibrittle fracture
The physical sources of randomness in quasibrittle fracture described by the cohesive crack model are discussed and theoretical arguments for the basic form of the probability distribution are presented. The probability distribution of the size effect on the nominal strength of structures made of heterogeneous quasibrittle materials is derived, under certain simplifying assumptions, from the no...
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The larger structures are, the lower their mechanical strength. Already discussed by Leonardo da Vinci and Edmé Mariotte several centuries ago, size effects on strength remain of crucial importance in modern engineering for the elaboration of safety regulations in structural design or the extrapolation of laboratory results to geophysical field scales. Under tensile loading, statistical size ef...
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Independent component analysis (ICA) solves the blind source separation problem by evaluating higher-order statistics, e.g. by estimating fourthorder moments. While estimation errors of the kurtosis can be shown to asymptotically decay with sample size according to a square-root law, they are subject to two further effects for finite samples. Firstly, errors in the estimation of kurtosis increa...
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ژورنال
عنوان ژورنال: Journal of Physics D: Applied Physics
سال: 2009
ISSN: 0022-3727,1361-6463
DOI: 10.1088/0022-3727/42/21/214012