横观各向同性饱和两相介质弹塑性波动问题研究

摘要

针对横观各向同性饱和两相介质的弹塑性波动问题，建立了基于SMP破坏准则的横观各向同性饱和两相介质弹塑性动力本构模型，并建立了横观各向同性饱和两相介质弹塑性波动问题求解的时域显式有限元方法。基于上述本构模型与时域显式有限元方法进行了横观各向同性饱和两相介质弹塑性波动问题的研究。研究结果表明：横观各向同性饱和两相介质的弹塑性动力反应与其弹性动力反应有较为显著的差异，表现在前者的反应峰值相对于后者有较为明显的增大，同时二者反应时程的波形也有较大的差异。数值计算工作同时表明，时域显式有限元方法是进行横观各向同性饱和两相介质弹塑性波动问题计算分析的一种有效方法。%In this paper,an elasto-plastic dynamic constitutive model for transversely isotropic fluid-saturat⁃ed porous media is constructed based on the SMP failure criterion,and the time-domain explicit finite ele⁃ment method for the wave propagation in transversely isotropic elasto-plastic fluid-saturated porous media is put forward. The wave propagation in transversely isotropic elasto-plastic fluid-saturated porous media is in⁃vestigated based on the dynamic constitutive model and the time-domain explicit finite element method giv⁃en out in this paper,and calculating results are compared with those of elastic wave propagation. Calculat⁃ing results show that the dynamic response of transversely isotropic elasto-plastic fluid-saturated porous me⁃dia is remarkably different from that of elastic porous media,that is the peak value of elasto-plastic dynam⁃ic response has remarkable increase relative to that of elastic dynamic response,and the figures of time his⁃tory are different significantly from each other for elasto-plastic dynamic response and elastic dynamic re⁃sponse of transversely isotropic fluid-saturated porous media. In the meanwhile, numerical calculations car⁃ried out in this paper indicate that the time-domain explicit finite element method is effective for the wave propagation in transversely isotropic elasto-plastic fluid-saturated porous media.