西北地震学报2012，Vol.34Issue(4)：324-330,7.DOI:10.3969/j.issn.1000-0844.2012.04.0324
饱和土中圆柱形衬砌对瞬态弹性波的散射
Scattering of Transient Elastic Wave by Cylindrical Cavity with Lining in Saturated Soil
摘要
Abstract
Based on the Biot's dynamic theory, the expressions of displacements, stresses and pore pressures in saturated soil, and those of displacements and stresses on cylindrical lining in transient elastic wave condition are obtained by using the method of Laplace transform and wave function expansion. Employing the inner boundary stress free condition of the lining and the continuity conditions between the soil and the lining, the unknown coefficients in the expressions are determined. With the inverse Laplace transform, the numerical solution of the problem is presented. The wave pattern properties of dynamic stress concentration factor on the lining and influence of different shear modulus of material and thickness of lining on the dynamic stress concen-tion factor are studied. The results show that the wave type demonstrates damping with the increase of the order n. The value of dynamic stress concentration factor is lower with the increase of the lining thickness and larger when the shear modulus of the lining is larger than that of the soil.关键词
饱和土/圆柱形衬砌/瞬态弹性波/Laplace变换/Laplace逆变换/动应力集中系数Key words
Saturated soil/ Cylindrical lining/ Transient elastic wave/ Laplace transform/ Inverse Laplace transform/ Dynamic stress concentration factor分类
建筑与水利引用本文复制引用
王滢,高盟,高广运,张先林..饱和土中圆柱形衬砌对瞬态弹性波的散射[J].西北地震学报,2012,34(4):324-330,7.基金项目
国家自然科学基金项目(50878155,51178342) （50878155,51178342）
高等学校博士学科点专项基金项目(201037181200005) （201037181200005）
