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The pile-soil system is idealized by a finite irregular region joined to a regular semi-infinite far field. A hybrid of Finite Element and Thin-Layer Element methods are used for the dynamic analysis. The former is to develop the dynamic stiffness matrix of the irregular zone for both linear and non-linear formulation in time domain. The latter is to develop the dynamic stiffness matrix for the regular zone in frequency domain and a transformation to time domain is performed using recursivedoi:10.11532/proee1997.25.465 fatcat:enfi2p2zere3vazykmril77yz4