This paper analyzes the rectangular-shaped crack in the graded materials by using the dual boundary element method.

采用对偶边界元方法分析了梯度材料中的矩形裂纹。

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A substructure method and a dual reciprocity boundary element method (DRBEM) are applied to calculate four-pole parameters and transmission loss of ducts and silencers with complex flow.

将子结构法和双倒易边界元法联合应用于预测具有三维复杂流存在时管道和消声器的四极参数与传递损失，阐述其基本原理与数值过程。

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