梯度饱和土瞬态响应分析

基于Biot多孔介质理论,建立了饱和土体在动载荷作用下的一维回传射线矩阵法的计算列式,其中考虑了土体的非均匀性、惯性、黏滞以及固体颗粒和流体的可压缩性.利用计算结果与已有结果相比较,二者相吻合,验证了算法的正确性.作为数值算例,考虑饱和土的物理力学性质沿深度方向按幂函数连续变化,利用数值Laplace逆变换求解了在冲击性载荷作用下的位移,应力和孔隙压力等物理量的瞬态响应,重点分析讨论了材料非均匀性对饱和土介质动力特性的影响. 

TRANSIENT DYNAMIC ANALYSIS OF GRADIENT FLUID-SATURATED SOIL

Based on the Biot's theory of porous media,the calculation formula of reverberation ray matrix method is established for one-dimensional transient response of fluid-saturated soil,where the non-homogeneous,inertial,viscous and the compressible of solid particles and fluid are taken into account.The present methodology is validated by comparing solutions with some known result.As numerical examples,assuming that the material properties of the saturated soil have an exponential law distribution along the thickness-coordinate,the transient response,in terms of displacement,stress and pore press,are examined using numerical inverse Laplace transform.The effect of non-homogeneous on transient responses of gradient saturated soil is demonstrated and discussed.