Analysis of 3D poroelastodynamics using BEM based on modified time-step scheme

[摘要] The development of 3d boundary elements modeling of dynamic partially saturated poroelastic media using a stepping scheme is presented in this paper. Boundary Element Method (BEM) in Laplace domain and the time-stepping scheme for numerical inversion of the Laplace transform are used to solve the boundary value problem. The modified stepping scheme with a varied integration step for quadrature coefficients calculation using the symmetry of the integrand function and integral formulas of Strongly Oscillating Functions was applied. The problem with force acting on a poroelastic prismatic console end was solved using the developed method. A comparison of the results obtained by the traditional stepping scheme with the solutions obtained by this modified scheme shows that the computational efficiency is better with usage of combined formulas.

[发布机构] Research Institute for Mechanics, Lobachevsky State University of Nizhni Novgorod, 23 Prospekt Gagarina, bld. 6, Nizhni Novgorod; 603950, Russia^1;Research and Education Center Materials, Don State Technical University, 1 Gagarin Sq., Rostov-on-Don; 344010, Russia^2

[效力级别] 电工学

[关键词] Boundary elements;Integral formulas;Modeling of dynamics;Numerical inversion;Partially saturated;Poroelastic media;Quadrature coefficients;Time-stepping schemes