TY - EJOU
AU - Lei, Weidong
AU - Zhou, Hai
AU - Li, Hongjun
AU - Chen, Rui
TI - Development of TD-BEM Formulation for Dynamic Analysis for Twin-Parallel Circular Tunnels in an Elastic Semi-Innite Medium
T2 - Computer Modeling in Engineering \& Sciences
PY - 2021
VL - 126
IS - 2
SN - 1526-1506
AB - In order to simulate the propagation process of subway vibration of parallel tunnels in semi-infinite rocks or
soils, time domain boundary element method (TD-BEM) formulation for analyzing the dynamic response of
twin-parallel circular tunnels in an elastic semi-infinite medium is developed in this paper. The time domain
boundary integral equations of displacement and stress for the elastodynamic problem are presented based on
Bettiās reciprocal work theorem, ignoring contributions from initial conditions and body forces. In the process of
establishing time domain boundary integral equations, some virtual boundaries are constructed between finite
boundaries and the free boundary to form a boundary to refer to the time domain boundary integral equations for a
single circular tunnel under dynamic loads. The numerical treatment and solving process of time domain boundary
integral equations are given in detail, including temporal discretization, spatial discretization and the assembly
of the influencing coefficients. In the process of the numerical implementation, infinite boundary elements are
incorporated in time domain boundary element method formulation to satisfy stress free conditions on the
ground surface, in addition, to reduce the discretization of the boundary of the ground surface. The applicability and efficiency of the presented time domain boundary element formulation are verified by a deliberately
designed example.
KW - Time-domain boundary element method; twin-parallel tunnels; innite boundary elements; elastic semiinnite medium
DO - 10.32604/cmes.2021.011857