岩土工程学报2023，Vol.45Issue(z2)：42-47,6.DOI:10.11779/CJGE2023S20033
非饱和多孔弹性介质中圆柱形衬砌洞室对平面波散射的解析解
Analytical solutions for scattering of plane waves by a cylindrical lined cavity in unsaturated poroelastic media
摘要
Abstract
In this study,two-dimensional scattering of plane waves by a cylindrical lined cavity embedded in an infinite unsaturated poroelastic medium is solved by the wave function expansion method.The unsaturated poroelastic medium is simulated as a poroelastic model formulated using the theory of mixture with interfaces,and the governing equations are solved by reduction to four Helmholtz equations.The lining structure is considered as a single-phase elastic medium and decoupled into two Helmholtz equations.Using the boundary conditions to solve the undetermined coefficients in the wave function,the analytical solutions are obtained for the scattering problem of plane P-waves and SV-waves around cylindrical lined cavities in unsaturated porous elastic media.Using the analytical solutions,numerical calculations are conducted to analyze the effects of factors such as saturation on the dynamic stress concentration coefficient around the lined cavity.关键词
非饱和多孔介质/圆柱形衬砌洞室/平面波/散射问题/解析解Key words
unsaturated porous medium/cylindrical lined cavity/plane wave/scattering problem/analytic solution分类
建筑与水利引用本文复制引用
杨喆,李伟华,万业欣..非饱和多孔弹性介质中圆柱形衬砌洞室对平面波散射的解析解[J].岩土工程学报,2023,45(z2):42-47,6.基金项目
国家自然科学基金面上项目(52378474,52078033) （52378474,52078033）
