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THE RESPONSE OF AN INFINITE ELASTIC PLATE TO POINT DISLOCATION SOURCES (WAVES).

机译：无限弹性板对点位移源（波）的响应。

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摘要

In this dissertation the surface response of an infinite, homogeneous elastic plate to an internal dislocation across an infinitesimal area is investigated. As a companion problem, the normal displacement of the plate surface due to a time dependent point load acting on its surface is also calculated. The first problem is relevant for the detection of crack initiation in structural materials through the analysis of high frequency elastic waves generated by the event. The solution of the second problem is needed for the calibration of test equipment used in the detection of the waves.; The problems are formulated by means of the classical integral transform technique in the frequency domain, and the spectral response of the plate is expressed in terms of its modal responses due to the real, imaginary and complex roots of the well known Rayleigh-Lamb equation. Time histories of the response are obtained through the inversion of the spectra by use of a Fast Fourier Transform (FFT) routine.; The calculated mode shapes for the applied load problem agree with those currently available in the literature. Additional numerical and analytical results are presented for an applied sinusoidal point force of duration short relative to the time window of observation. For the case of the buried dislocation, both shear and normal opening cracks are treated numerically and a number of surface displacement time histories are presented. Applications of the results in acoustic emission studies are discussed.
机译：在本文中，研究了无限均匀的弹性板在无限小区域内对内部位错的表面响应。作为伴随的问题，还计算了由于作用在其表面上的时间相关的点载荷而导致的板表面的法向位移。第一个问题与通过事件产生的高频弹性波的分析来检测结构材料中的裂纹萌生有关。第二个问题的解决方案是校准用于检波的测试设备。通过经典的积分变换技术在频域中解决问题，并且由于众所周知的瑞利-兰姆方程的实，虚和复根，板的频谱响应以模态响应表示。通过使用快速傅里叶变换（FFT）程序对光谱进行求逆，可以得到响应的时间历史。计算得出的施加载荷问题的模态形状与文献中当前可用的模态形状一致。对于持续时间相对于观察时间窗口较短的正弦点力，还提供了其他数值和分析结果。对于埋入式位错，对剪切裂缝和正常裂缝均进行了数值处理，并给出了许多表面位移时间的历史记录。讨论了结果在声发射研究中的应用。

著录项

  • 作者

    VASUDEVAN, NARESH.;

  • 作者单位

    University of California, Los Angeles.;

  • 授予单位 University of California, Los Angeles.;
  • 学科 Engineering Mechanical.
  • 学位 Ph.D.
  • 年度 1984
  • 页码 96 p.
  • 总页数 96
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类 机械、仪表工业;
  • 关键词

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