A 2.5 D finite/infinite element approach for modelling viscoelastic bodies subjected to moving loads.

*(English)*Zbl 1065.74623Summary: The objective of this study is to propose a 2.5 D finite/infinite element procedure for dealing with the ground vibrations induced by moving loads. Besides the two in-plane degrees of freedom (DOFs) per node conventionally used for plane strain elements, an extra DOF is introduced to account for the out-of-plane wave transmission. The profile of the half-space is divided into a near field and a semi-infinite far field. The near field containing loads and irregular structures is simulated by the finite elements, while the far field covering the soils extending to infinity by the infinite elements with due account taken of the radiation effects for moving loads. Enhanced by the automated mesh expansion procedure proposed previously by the writers, the far field impedances for all the lower frequencies are generated repetitively from the mesh created for the highest frequency considered. Finally, the accuracy of the proposed method is verified through comparison with a number of analytical solutions.

##### MSC:

74S05 | Finite element methods applied to problems in solid mechanics |

74H45 | Vibrations in dynamical problems in solid mechanics |

74L10 | Soil and rock mechanics |

74H15 | Numerical approximation of solutions of dynamical problems in solid mechanics |

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\textit{Y.-B. Yang} and \textit{H.-H. Hung}, Int. J. Numer. Methods Eng. 51, No. 11, 1317--1336 (2001; Zbl 1065.74623)

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