晶体塑性尺寸效应的概率解释
A probabilistic explanation for the size-effect in crystal plasticity
摘要：
在这项工作中，众所周知的幂律强度和样本大小之间的关系，$d^{-n}$，是来自知识的位错网络表现出无标度的行为和极值统计特性的任意分布的临界应力。该方法产生$n=(τ+1)/(α+1)$，其中$α$反映临界应力分布的低应力状态的首阶代数指数，而$τ$是间歇塑性应变活动的标度指数。这个相当普遍的推导支持的实验观察，尺寸效应的范例是适用于广泛的材料，不同的晶体结构，内部微观结构和外部样品的几何形状。
英文摘要：
In this work, the well known power-law relation between strength and sample size, $d^{-n}$, is derived from the knowledge that a dislocation network exhibits scale-free behaviour and the extreme value statistical properties of an arbitrary distribution of critical stresses. This approach yields $n=(τ+1)/(α+1)$, where $α$ reflects the leading order algebraic exponent of the low stress regime of the critical stress distribution and $τ$ is the scaling exponent for intermittent plastic strain activity. This quite general derivation supports the experimental observation that the size effect paradigm is applicable to a wide range of materials, differing in crystal structure, internal microstructure and external sample geometry.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
