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Three‐dimensional time‐harmonic Green's functions for a triclinic full‐space using a symbolic computation system
Author(s) -
Dravinski Marijan,
Niu Yuqing
Publication year - 2001
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.292
Subject(s) - triclinic crystal system , symbolic computation , computation , maple , matlab , displacement (psychology) , computer science , anisotropy , harmonic , algebra over a field , algorithm , computational science , mathematics , mathematical analysis , pure mathematics , physics , optics , programming language , quantum mechanics , psychology , botany , molecule , psychotherapist , biology
Time‐harmonic Green's functions for a triclinic anisotropic full‐space are evaluated through the use of a symbolic computation system.This procedure allows evaluation of the Green's functions for the most general anisotropic materials. The proposed computational algorithms are programmed in a MATLAB environment by incorporating symbolic calculations performed using Maple Computer Algebra System. Extensive testing of the numerical results has been performed for both displacement and stress fields. The tests demonstrate the accuracy of the proposed algorithm in evaluating the Green's functions. Copyright © 2001 John Wiley & Sons, Ltd.