International Journal of Mathematical, Engineering and Management Sciences

ISSN: 2455-7749

Time Domain Implementation of Transmitting Boundaries in ABAQUS for Discrete Soil-structure Interaction Systems

J. Rama Raju Patchamatla
Department of Civil Engineering, Graphic Era (Deemed to be University), Dehradun, Uttarakhand, India.

P. K. Emani
Department of Civil Engineering, Graphic Era (Deemed to be University), Dehradun, Uttarakhand, India.


Received on August 10, 2019
Accepted on November 27, 2019


Soil-structure-interaction (SSI) analyses are essential to evaluate the seismic performance of important structures before finalizing their structural design. SSI under seismic condition involves much more complex interaction with soil compared to the dynamic loads having source on the structure. Seismic SSI analysis requires due consideration of site-specific and structure-specific properties to estimate the actual ground motion (scattered motion) experienced at the base of the structure, and subsequently the effects of the scattered motion on the structure. Most challenging aspect of seismic SSI analysis is to implement transmitting boundaries that absorb the artificial reflections of stress waves at the truncated interface of the finite and infinite domains, while allowing the seismic waves to enter the finite domain. In this paper, the time domain implementation of seismic analysis of a soil-structure system is presented using classical discrete models of structure and interactive force boundary conditions for soil. These models represent typical SSI systems- a single Degree of Freedom (DOF) of a spherical cavity with mass attached to its wall, a two DOF system consisting of a mass attached by a nonlinear spring to a semi-infinite rod on elastic foundation, and a three DOF system with additional DOFs for modelling the structural stiffness and damping. The convolution integral representing the force boundary condition on the truncated interface, is evaluated interactively using UAMP user-subroutine in ABAQUS and applied as concentrated forces at the interface (truncated interface) nodes of the bounded domain or generalized-structure domain. The verification problems presented in the paper show the satisfactory performance of the developed MATLAB code and ABAQUS implementation with FORTRAN user-subroutines. The classical phenomena associated with the dynamic soil-structure systems are discussed through the present work.

Keywords- Soil-structure interaction, Seismic analysis, Transmitting boundaries, ABAQUS, UAMP subroutine.


Patchamatla, J. R. R., & Emani, P. K. (2020). Time Domain Implementation of Transmitting Boundaries in ABAQUS for Discrete Soil-structure Interaction Systems. International Journal of Mathematical, Engineering and Management Sciences, 5(3), 447-462.

Conflict of Interest

The authors confirm that there is no conflict of interest to declare for this publication.


The authors would like to express their sincere thanks to the editor and anonymous reviews for their time and valuable suggestions. This research was supported by Board of Research in Nuclear Sciences (BRNS), Department of Atomic Energy (DAE), Government of India, [No. 2012/36/49-BRNS]


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