Response and energy dissipation of rock under stochastic stress waves

来源期刊：中南大学学报(英文版)2007年第1期

论文作者：邓建 边利

文章页码：111 - 111

Key words：stochastic stress waves; dynamic fracture criterion; Fourier transform; energy dissipation; rock

Abstract: The response and energy dissipation of rock under stochastic stress waves were analyzed based on dynamic fracture criterion of brittle materials integrating with Fourier transform methods of spectral analysis. When the stochastic stress waves transmit through rocks, the frequency and energy ratio of harmonic components were calculated by analytical and discrete analysis methods. The stress waves in shale, malmstone and liparite were taken as examples to illustrate the proposed analysis methods. The results show the harder the rock, the less absorption of energy, the more the useless elastic waves transmitting through rock, and the narrower the cutoff frequency to fracture rock. When the whole stress energy doubles either by doubling the duration time or by increasing the amplitude of stress wave, ratio of the energy of elastic waves transmitting through rock to the whole stress energy (i.e. energy dissipation ratio) is decreased to 10%-15%. When doubling the duration time, the cutoff frequency to fracture rock remains constant. However, with the increase of the amplitude of stress wave, the cutoff frequency increases accordingly.

基金信息：the National Natural Science Foundation of China
the Hunan Provincial Natural Science Foundation of Distinguished Young Scholars