Dynamic stress analysis of circular cavity in density inhomogeneous multi-layer soil structures containing a canyon

• Published in: Journal of engineering mathematics Vol. 149; no. 1
• Main Authors: Zhang, Xi-meng, Qi, Hui
• Format: Journal Article
• Language: English
• Published: Dordrecht Springer Netherlands 01.12.2024; Springer Nature B.V
• Subjects: Addition theorem; Applications of Mathematics; Bessel functions; Boundary conditions; Canyons; Computational Mathematics and Numerical Analysis; Density; Exact solutions; Helmholtz equations; Integral equations; Mathematical analysis; Mathematical and Computational Engineering; Mathematical Modeling and Industrial Mathematics; Mathematics; Mathematics and Statistics; Multilayers; Orthogonal functions; Scattering; Seismic waves; Series expansion; SH waves; Soil analysis; Soil layers; Soil stresses; Standing waves; Stress analysis; Stress concentration; Theoretical and Applied Mechanics; Tunnels; SH wave; Dynamic stress concentration factor (DSCF); Large-arc assume method; Density inhomogeneous multi-layer soil structures; Graf’s addition theorem; V-shaped canyon

This study addresses the dynamic behavior of a circular tunnel in inhomogeneous multi-layer soil structures with complex boundary conditions. First, we consider two types of inhomogeneous density: density varies with the square term of coordinates, and density varies with the exponential term of coo...