Corrigenda to “Some Problems in Two-Dimensional Electrostriction”

Corrigenda to “Some Problems in Two-Dimensional Electrostriction”
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DOI:
10.1002/sapm1968471109
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发表时间:
1968-04
期刊:
Journal of Mathematics and Physics
影响因子:
--
通讯作者:
T. Smith;W. E. Warren
T. Smith;W. E. Warren
中科院分区:
其他
文献类型:
--
作者:
T. Smith;W. E. Warren

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势函数中的这种校正对我们结果的重要影响如下:(i)(21)中E给出的旋转不依赖于我们所说的插入件的尺寸。(ii)(35)给出的原理l/r奇点消失,除非裂纹内部包含导电介质(E---+CX)。因此,对这种奇点的物理兴趣,因为它影响固体中的介电击穿,并没有改变。该导电情况的主应力奇点变为
The important ramifications of this correction in the potential functions on our results are as follows:(i) The rotation given by E in (21) is NOT dependent on the size of the insert as we stated.(ii) The principl~ l/r singularity given by (35) vanishes EXCEPT for the case when the interior of the crack contains a conducting medium (E---+ CX). Thus the physical interest in this singularity as it affects dielectric breakdown in solids is not changed. The principle stress singularity for this conducting case becomes