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Numerical modelling for scattering of waves in three‐dimensional cracked material
Author(s) -
Han Sixiong,
Ichikawa Yasuaki
Publication year - 1995
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.1620382402
Subject(s) - scattering , plane (geometry) , numerical analysis , mechanics , mathematical analysis , mathematics , geometry , physics , optics
In this paper, a mathematical model is proposed for the problem of the scattering of plane waves in a three‐dimensional cracked materials. Instead of obtaining closed‐form solutions as in conventional theoretical analysis methods, this approach, called the Equivalent Nodal Force (ENF) method formulates the mechanical effects of cracks as an equivalent nodal force in a numerical procedure, and physically translates cracked material into an equivalent continuous one. Several mechanical relations between waves and cracks are evident from this method. Also the results of several numerical calculations are presented and these are compared with those obtained by the conventional methods.