MATEC Web Conf.
Volume 226, 2018XIV International Scientific-Technical Conference “Dynamic of Technical Systems” (DTS-2018)
|Number of page(s)||6|
|Section||3 Issues of creation and mechanics of heterogeneous and composite materials|
|Published online||07 November 2018|
A combined application of the boundary element method and Lobatto time-stepping procedure in 3-D partially saturated poroelastic problems
1 Research and Education Center «Materials», Don State Technical University, 344000 Rostov-on-Don, Russia
2 Research Institute for Mechanics, National Research Lobachevsky State University of Nizhni Novgorod, 603950 Nizhny Novgorod, Russia
* Corresponding author: firstname.lastname@example.org
The report presents a modification of a time-step scheme on the nodes of Runge-Kutta methods for solving 3-D dynamic poroelastic problems using the boundary element method. To describe poroelastic medium, Biot’s mathematical model of a material is employed, in which solid phase and two fluid phases, filling the pores -liquid and gas, are discerned. 2- and 3-stage Lobatto methods were chosen as a particular example of Runge-Kutta methods. A comparison of the results obtained using the Lobatto method and the Euler method is presented.
© The Authors, published by EDP Sciences, 2018
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