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Normal compression wave scattering by a permeable crack in a fluid-saturated poroelastic solid 预览

Normal compression wave scattering by a permeable crack in a fluid-saturated poroelastic solid
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摘要 A mathematical formulation is presented for the dynamic stress intensity factor (mode I) of a finite permeable crack subjected to a time-harmonic propagating longitudinal wave in an infinite poroelastic solid. In particular, the effect of the wave-induced fluid flow due to the presence of a liquid-saturated crack on the dynamic stress intensity factor is analyzed. Fourier sine and cosine integral transforms in conjunction with Helmholtz potential theory are used to formulate the mixed boundary-value problem as dual integral equations in the frequency domain. The dual integral equations are reduced to a Fredholm integral equation of the second kind. It is found that the stress intensity factor monotonically decreases with increasing frequency, decreasing the fastest when the crack width and the slow wave wavelength are of the same order. The characteristic frequency at which the stress intensity factor decays the fastest shifts to higher frequency values when the crack width decreases. A mathematical formulation is presented for the dynamic stress intensity factor (mode I) of a finite permeable crack subjected to a time-harmonic propagating longitudinal wave in an infinite poroelastic solid. In particular, the effect of the wave-induced fluid flow due to the presence of a liquid-saturated crack on the dynamic stress intensity factor is analyzed. Fourier sine and cosine integral transforms in conjunction with Helmholtz potential theory are used to formulate the mixed boundary-value problem as dual integral equations in the frequency domain. The dual integral equations are reduced to a Fredholm integral equation of the second kind. It is found that the stress intensity factor monotonically decreases with increasing frequency, decreasing the fastest when the crack width and the slow wave wavelength are of the same order. The characteristic frequency at which the stress intensity factor decays the fastest shifts to higher frequency values when the crack width decreases.
作者 Yongjia Song Hengshan Hu John W. Rudnicki Song, Yongjia[1,2];Hu, Hengshan[1];Rudnicki, John W.[2,3]
出处 《力学学报:英文版》 SCIE EI CAS CSCD 2017年第2期356-367,共12页 Acta Mechanica Sinica
基金 supported by the National Natural Science Foundation of China (Grant 11372091) China Scholarship Council (Grant 201406120086)
关键词 Poroelasticity Biot’s theory FINITE CRACK Dynamic stress INTENSITY factor Poroelasticity Biot's theory Finite crack Dynamic stress intensity factor
作者简介 hhs@hit.edu.cn
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