分布関数の再帰方程式による確率論的破壊力学の解法の提案 : 第2報:決定的時間発展系のC^1級写像への拡張
Proposition of Recursive Distribution Method for Probabilistic Fracture Mechanics : (2nd Report:Extension of the Deterministic Time Evolution Law to C^1 Mapping)

Hiroshi AKIBA, Shinobu YOSHIMURA, Genki YAGAWA
1998 Nihon Oyo Suri Gakkai ronbunshi  
Abstract. This paper describes a new method for Probabilistic Firacture Mechanics ( PFM ) . The present authors have previously developed a new methed fbr PFM , named R £ cursive Distribution ( RD ) method . The method depends on the construction of the Lebesgue . Stieltjes measure through a deterministic mapping defining a crack growth process . Here the mapping is extended 仕o 皿 び isomorphism to σ I mapping which ailows a weak discentinuity . The critical points of the mapping are classiHed ,
more » ... ng are classiHed , and the Lebesgue decomposition is given to the distribution of crack geometry using the classification . The present method is applied to an analysis of LWR , s piping integrity problem , and almost the same results as those obtained by the Monte Carlo ( MC ) method are obtalned . cPu time of the RD method is less than 11100f the MC method ,
doi:10.11540/jsiamt.8.1_81 fatcat:ie5olfs7zfa7neccp3bcuw3zdy