在采用完美匹配层理论的物质点法中实现吸收边界条件
Absorbing boundary conditions in material point method adopting perfectly matched layer theory
AI总结：
本研究将完美匹配层理论集成到隐式物质点法中，通过引入吸收粒子实现吸收边界条件，有效衰减出射波并减少反射，并通过多种基准测试验证了其在大变形和地震滑坡模拟中的有效性。
摘要：
本研究聚焦于解决物质点法（MPM）动态模拟中施加吸收边界条件所面临的数值挑战。为衰减离开计算域的弹性波，本工作将完美匹配层（PML）理论集成到隐式MPM框架中。所提出的方法在计算域周围引入吸收粒子，这些粒子能有效吸收出射波并减少反射，从而能够精确模拟波的传播及其对岩土边坡稳定性分析的进一步影响。研究还包含若干基准测试以验证所提方法的有效性，例如多种类型的脉冲荷载以及对称和非对称基底振动。所进行的数值试验还展示了该方法处理大变形问题的能力，包括在重力和动力激励下弹塑性土体的破坏。这些发现扩展了MPM在模拟地震诱发滑坡连续分析（从震动到破坏）方面的能力。
英文摘要：
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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