ELASTIC ANALYSIS OF SOME PUNCH PROBLEMS FOR A LAYERED MEDIUM
ELASTIC ANALYSIS OF SOME PUNCH PROBLEMS FOR A LAYERED MEDIUM
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DOI：
10.1016/0020-7683(87)90116-8
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发表时间：
1987-01-01
影响因子：
3.6
通讯作者：
KING, RB
中科院分区：
文献类型：
--
作者：
KING, RB
研究了圆柱形、四边形和三角形冲头对层状各向同性弹性半空间的压入问题。前两个分析使用基函数技术，而后者的问题是通过一个奇异积分方程进行分析。数值求解。载荷-挠度关系得到的层和基板的杨氏模量的比率的一系列值，并为各种冲压尺寸。这些解决方案提供了一个准确的基础，从压痕试验中观察到的初始卸载遵守的薄膜的杨氏模量的估计，并具体相关的轴对称，维克斯，和三角形压头。研究结果对基础工程也有一定的参考价值。
The problems of flat-ended cylindrical, quadrilateral, and triangular punches indenting a layered isotropic elastic half-space are considered. The former two are analyzed using a basis function technique, while the latter problem is analyzed via a singular integral equation. Solutions are obtained numerically. Load-deflection relations are obtained for a series of values of the ratio of Young's modulus in the layer and substrate, and for a variety of punch sizes. These solutions provide an accurate basis for the estimation of Young's modulus of thin films from the initial unloading compliance observed in indentation tests, and are specifically relevant to axisymmetric, Vicker's, and triangular indenters. The results should also be of interest in foundation engineering.