Wave propagation in a simplified modelled poroelastic continuum: fundamental solutions and a time domain boundary element formulation

2005 ◽  
Vol 64 (13) ◽  
pp. 1816-1839 ◽  
Author(s):  
M. Schanz ◽  
V. Struckmeier
Keyword(s):  
Wave Propagation ◽  
Boundary Element ◽  
Time Domain ◽  
Domain Boundary ◽  
Fundamental Solutions ◽  
Element Formulation

Theory of a Time Domain Boundary Element Development for the Dynamic Analysis of Coupled Multiphase Porous Media

2017 ◽  
Vol 08 (03n04) ◽  
pp. 1750007
Author(s):  
Pooneh Maghoul ◽  
Behrouz Gatmiri
Keyword(s):  
Boundary Element ◽  
Time Domain ◽  
Unsaturated Soils ◽  
Water Pressure ◽  
Domain Boundary ◽  
Fundamental Solutions ◽  
Element Formulation ◽  
Inertia Effects ◽  
Coupled Equations ◽  
The Time Domain

This paper presents an advanced formulation of the time-domain two-dimensional (2D) boundary element method (BEM) for an elastic, homogeneous unsaturated soil subjected to dynamic loadings. Unlike the usual time-domain BEM, the present formulation applies a convolution quadrature which requires only the Laplace-domain instead of the time-domain fundamental solutions. The coupled equations governing the dynamic behavior of unsaturated soils ignoring contributions of the inertia effects of the fluids (water and air) are derived based on the poromechanics theory within the framework of a suction-based mathematical model. In this formulation, the solid skeleton displacements [Formula: see text], water pressure [Formula: see text] and air pressure [Formula: see text] are presumed to be independent variables. The fundamental solutions in Laplace transformed-domain for such a dynamic [Formula: see text] theory have been obtained previously by authors. Then, the BE formulation in time is derived after regularization by partial integrations and time and spatial discretizations. Thereafter, the BE formulation is implemented in a 2D boundary element code (PORO-BEM) for the numerical solution. To verify the accuracy of this implementation, the displacement response obtained by the boundary element formulation is verified by comparison with the elastodynamics problem.

A new visco- and elastodynamic time domain Boundary Element formulation

1997 ◽  
Vol 20 (5) ◽  
pp. 452-459 ◽  
Author(s):  
M. Schanz ◽  
H. Antes
Keyword(s):  
Boundary Element ◽  
Time Domain ◽  
Domain Boundary ◽  
Element Formulation

Singularity cancellation method for time-domain boundary element formulation of elastodynamics: A direct approach

2020 ◽  
Vol 80 ◽  
pp. 647-667 ◽  
Author(s):  
Guizhong Xie ◽  
Yudong Zhong ◽  
Fenglin Zhou ◽  
Wenliao Du ◽  
Hao Li ◽  
...  
Keyword(s):  
Boundary Element ◽  
Time Domain ◽  
Domain Boundary ◽  
Direct Approach ◽  
Element Formulation
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