Absorbing boundary conditions in material point method adopting perfectly matched layer theory

Kurima, Jun; Chandra, Bodhinanda; Soga, Kenichi

doi:10.1016/j.soildyn.2025.109219

Title: Absorbing boundary conditions in material point method adopting perfectly matched layer theory

Journal Article · 21 January 2025 · Soil Dynamics and Earthquake Engineering

DOI: https://doi.org/10.1016/j.soildyn.2025.109219 · OSTI ID:2511084

^[1];

^[2]; Soga, Kenichi ^[2]

Univ. of Tokyo (Japan)
University of California, Berkeley, CA (United States)

This study focuses on solving the numerical challenges of imposing absorbing boundary conditions for dynamic simulations in the material point method (MPM). To attenuate elastic waves leaving the computational domain, the current work integrates the Perfectly Matched Layer (PML) theory into the implicit MPM framework. The proposed approach introduces absorbing particles surrounding the computational domain that efficiently absorb outgoing waves and reduce reflections, allowing for accurate modeling of wave propagation and its further impact on geotechnical slope stability analysis. The study also includes several benchmark tests to validate the effectiveness of the proposed method, such as several types of impulse loading and symmetric and asymmetric base shaking. The conducted numerical tests also demonstrate the ability to handle large deformation problems, including the failure of elasto-plastic soils under gravity and dynamic excitations. The findings extend the capability of MPM in simulating continuous analysis of earthquake-induced landslides, from shaking to failure.

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Research Organization:: Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)

Sponsoring Organization:: Japan Society for the Promotion of Science (JSPS) KAKENHI; USDOE Office of Science (SC), High Energy Physics (HEP)

Grant/Contract Number:: AC02-05CH11231

OSTI ID:: 2511084

Journal Information:: Soil Dynamics and Earthquake Engineering, Journal Name: Soil Dynamics and Earthquake Engineering Vol. 191; ISSN 0267-7261

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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58 GEOSCIENCES
Absorbing boundary
Dynamic analysis
Earthquake-induced landslides
Material point method
Perfectly matched layer
Slope stability

Title: Absorbing boundary conditions in material point method adopting perfectly matched layer theory

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