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A dynamic infinite element for three‐dimensional infinite‐domain wave problems
Author(s) -
Zhao Chongbin,
Valliappan S.
Publication year - 1993
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620361505
Subject(s) - finite element method , mathematical analysis , mixed finite element method , boundary element method , extended finite element method , mathematics , finite element limit analysis , wave propagation , curvature , displacement (psychology) , boundary value problem , geometry , physics , structural engineering , engineering , psychology , quantum mechanics , psychotherapist
A three‐dimensional dynamic infinite element which satisfies the following requirements: (1) displacement compatibility on the interface between finite and infinite elements; (2) definition of the wave propagation and amplitude attenuation behaviours in the infinite element using wave propagation functions; (3) convergence of the generalized integrals related to mass and stiffness matrices of the infinite element: and (4) displacement continuity along the common boundary of neighbouring infinite elements in the case of simulating multiple material layers or multiple wave numbers within the foundation, is presented in this paper. Since P‐waves, S‐waves and R‐waves in the foundation can be simulated Simultaneously in the present infinite element, the seismic response of an arch‐dam‐foundation system, especially a thin double‐curvature arch‐dam‐foundation system where the boundary element loses its competitive capacity with the finite element, can be economically calculated by coupling this infinite element with conventional finite elements. The good accuracy obtained using the present infinite element and finite element coupling model to simulate foundation wave problems has been proven by comparing the current numerical results with previous analytical results.