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.

中文翻译：

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使用 ABAQUS 用户定义元素的连续二维波传播问题的一致边界的时域实现

本文详细介绍了为二维连续体土壤-结构相互作用系统应用一致边界的有限元实施程序。通过在截断的土壤-结构界面应用严格计算的相互作用力来确保一致的边界条件。这些计算涉及对所有时间步长的所有边界自由度的加速度单位脉冲响应函数的卷积积分进行评估。在 ABAQUS 中使用用户定义的单元公式成功地进行了基于过去响应历史的相互作用力的交互式或运行时评估。通过基准问题和典型的应力波传播问题证明了这种边界元程序的精确实现。