Effect of radius variation on the mean strength of brittle fibers
Effect of radius variation on the mean strength of brittle fibers
复制标题
半径变化对脆性纤维平均强度的影响
DOI：
10.1023/a:1010963517184
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发表时间：
2001
期刊：
影响因子：
--
通讯作者：
I. Davies
中科院分区：
文献类型：
--
作者：
I. Davies
(2)其中是伽马函数。虽然公式1在材料科学领域显示了广泛的适用性，但上述形式仅适用于样品大小固定的情况。然而，最近对陶瓷纤维的研究表明，半径沿纤维长度连续变化[2-4]。对于这种情况，强度分布函数很复杂，并且很少对由此产生的失效统计进行研究[3]，尽管有人建议σ0和m的“有效”值可能会受到很大影响[5]。本文研究了不同半径脆性纤维平均强度的推导及其在模拟脆性纤维群体中的适用性。尽管下面的讨论直接涉及到脆性纤维，但该理论可以很容易地适用于尺寸变化为已知量的任何脆性材料。
(2) where is the gamma function. Although Equation 1 has shown wide applicability in the field of materials science, the above form is valid only for the case of specimens with constant size. However, recent work on ceramic fibres has indicated the radius to vary continuously along the fibre length [2–4]. For this type of situation, the strength distribution function is complex and little research has been conducted into the resulting failure statistics [3] although it has been suggested that the “effective” values of σ0 and m may be greatly influenced [5]. The present work is concerned with the derivation of mean strength for brittle fibers with varying radii and its applicability to simulated populations of brittle fibers. Although the following discussion relates directly to brittle fibers, the theory may be easily adapted to any brittle material whose dimensions vary by a known amount.