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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Paris' law ： ウィキペディア英語版 Paris' law Paris' law (also known as the Paris-Erdogan law) relates the stress intensity factor range to sub-critical crack growth under a fatigue stress regime. As such, it is the most popular ''fatigue crack growth model'' used in materials science and fracture mechanics. The basic formula reads :$\backslash frac$, where $K\_$ is the maximum stress intensity factor and $K\_$ is the minimum stress intensity factor.〔}〕 ==History and use== The formula was introduced by P.C. Paris in 1961.〔P.C. Paris, M.P. Gomez, and W.E. Anderson. A rational analytic theory of fatigue. ''The Trend in Engineering'', 1961, 13: p. 9-14.〕 Being a power law relationship between the crack growth rate during cyclic loading and the range of the stress intensity factor, the Paris law can be visualized as a linear graph on a log-log plot, where the x-axis is denoted by the range of the stress intensity factor and the y-axis is denoted by the crack growth rate. Paris' law can be used to quantify the residual life (in terms of load cycles) of a specimen given a particular crack size. Defining the stress intensity factor as :$K=\backslash sigma\; Y\; \backslash sqrt$, where ''$\backslash sigma$'' is a uniform tensile stress perpendicular to the crack plane and ''Y'' is a dimensionless parameter that depends on the geometry, the range of the stress intensity factor follows as :$\backslash Delta\; K=\backslash Delta\backslash sigma\; Y\; \backslash sqrt$, where $\backslash Delta\backslash sigma$ is the range of cyclic stress amplitude. ''Y'' takes the value 1 for a center crack in an infinite sheet. The remaining cycles can be found by substituting this equation in the Paris law :$\backslash frac-a\_i^\})\}$, where $N\_f$ is the remaining number of cycles to fracture, $a\_c$ is the critical crack length at which instantaneous fracture will occur, and $a\_i$ is the initial crack length at which fatigue crack growth starts for the given stress range $\backslash Delta\backslash sigma$. If ''Y'' strongly depends on ''a'', numerical methods might be required to find reasonable solutions. For the application to adhesive joints in composites, it is more useful to express the Paris Law in terms of fracture energy rather than stress intensity factors.〔Wahab, M.M.A., I.A. Ashcroft, A.D. Crocombe, and P.A. Smith, Fatigue crack propagation in adhesively bonded joints. ''Key Engineering Materials'', 2003, 251-252: p. 229-234〕 Recently, an improvement of the celebrated Paris’ Law is proposed by using Moving Least Squares. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Paris' law」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.