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采用工程上通用的饱和土力学模型,考虑流体与固体之间的耦合作用,利用Laplace变换求解了饱和土中球空腔的瞬态动力响应问题,得到了变换域内的解析解.借助数值Laplace反变换,分析了饱和土中球空腔瞬态动力响应的位移、应力及孔压的变化规律.为分析地下结构瞬态动力响应提供了一种有效的方法,模型符合工程实际,有一定的工程应用价值.
In this paper, the common saturated soil mechanics model is adopted, the transient dynamic response of spherical cavity in saturated soil is solved by Laplace transform considering the coupling between fluid and solid, and the analytic solution in the transformation domain is obtained. With the help of numerical Laplace inverse transform, the displacement, stress and pore pressure of spherical cavity in saturated soil are analyzed. It provides an effective method to analyze transient dynamic response of underground structure. The model accords with engineering practice and has certain engineering application value.