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International Journal of Mathematical, Engineering and Management Sciences

ISSN: 2455-7749 . Open Access


Time Domain Implementation of Consistent Boundaries for Continuum Two-Dimensional Wave Propagation Problems Using ABAQUS User-Defined Elements

Time Domain Implementation of Consistent Boundaries for Continuum Two-Dimensional Wave Propagation Problems Using ABAQUS User-Defined Elements

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.

DOI https://doi.org/10.33889/IJMEMS.2022.7.2.013

Received on December 12, 2021
  ;
Accepted on February 13, 2022

Abstract

The present paper details the finite element implementation procedure for applying consistent boundaries for two-dimensional continuum soil-structure interaction systems. Consistent boundary conditions are ensured by applying rigorously calculated interaction forces at the truncated soil-structure interface. These calculations involve the evaluation of convolution integral on acceleration unit-impulse response functions for all boundary degrees of freedom for all time steps. The interactive or run-time evaluation of the interaction forces based on the past response history, is successfully carried out using user-defined element formulation in ABAQUS. This precise implementation of this boundary element procedure is demonstrated through benchmark problems and demonstrated through typical stress-wave propagation problems.

Keywords- Consistent boundaries, Wave propagation in soils, Boundary element method, ABAQUS, UEL subroutine

Citation

Patchamatla, J. R. R., & Emani, P. K (2022). Time Domain Implementation of Consistent Boundaries for Continuum Two-Dimensional Wave Propagation Problems Using ABAQUS User-Defined Elements. International Journal of Mathematical, Engineering and Management Sciences, 7(2), 196-210. https://doi.org/10.33889/IJMEMS.2022.7.2.013.