Simulation of the far-field radiation damping for half-plane problem by time domain boundary element method
Received:March 29, 2020  Revised:August 13, 2020
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DOI:10.7511/jslx20200329001
KeyWord:radiation damping  adaptive semi-infinite boundary element  TD-BEM  half-plane problem  stress wave
              
AuthorInstitution
张梅 河北农业大学 城乡建设学院, 保定
唐波 河北农业大学 城乡建设学院, 保定 ;上海强劲地基工程股份有限公司, 上海
李宏军 河北农业大学 城乡建设学院, 保定
郝文秀 河北农业大学 城乡建设学院, 保定
龚海天 新加坡清水建设株式会社, 新加坡
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Abstract:
      The radiation damping is of great significance in practical engineering such as blasting excavation of rock foundation pit,slope stability,structural seismic and structure-ground dynamic interaction.In order to simulate the far-field radiation damping of the half-plane problem,a new kind of element,adaptive semi-infinite boundary element,is proposed in the time domain based on the theory of the time domain boundary element method (TD-BEM) and the propagation characteristics of stress wave in elastic medium,which is specially used for discrete far-field semi-infinite boundary.The outer node of the element is always in front of the stress wave,which ensures that the calculation field can exactly contain the influence range of the stress wave in any case,so as to simulate the far-field radiation damping.Finally,two elastic half-plane examples under far-field and near-field dynamic loading respectively are used for verification,and the results are compared with those of the finite element method (FEM) and the original TD-BEM.The results show that the semi-infinite radiation condition is satisfied and far-field radiation damping can be simulated well by the TD-BEM adopted by the adaptive semi-infinite boundary element,and a higher accuracy can be obtained than the original TD-BEM under the almost same time cost.