脆性材料抗拉强度尺寸效应的分形统计描述
首发时间:2009-04-10
摘要:基于广义的Weibull分布的模型的基础上,应用分数统计方法,提出了一个广义的Weibull分布的尺寸效应模型。从理论上导出了尺寸效应的脆性材料统计强度的形式,同时获得了一个标准尺寸效应的Weibull模型。结果表明,该标准模型的分数统计强度是以特征尺寸为底的指数关系;经典统计强度强度是标准尺寸效应的统计强度下的极限。
关键词: Weibull分布;脆性材料;尺寸效应;抗拉强度 分形统计方法
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A fractal-statistical description of size-scale effects on tensile strength of brittle materials
Abstract:Based on a generalized Weibull’s distribution, this paper proposes a new model- a size- effect Weibull’s distribution is derived from a fractional statistical approach. A general expression for size-scale statistical strength of brittle material and a brief size-scale Weibull’s model are obtained. Finally, It is shown that relation between its statistical strength is increasing exponential to the base of the characteristic size and that the classical statistical strength is its limit.
Keywords: Weibull’s distribution fractional statistical approach brittle material size effects tensile strength fractal-statistical approach
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