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

Innovations and Prospects of Development of Mining Machinery and Electrical Engineering

矿业工程;电工学

Igumnov, L.A.^1 ; Petrov, A.N.^2 ; Vorobtsov, I.V.^1

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

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

Others  :  https://iopscience.iop.org/article/10.1088/1755-1315/87/8/082022/pdf
DOI  :  10.1088/1755-1315/87/8/082022

来源: IOP

【 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.