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Application of the Trefftz method in plane elasticity problems
Author(s) -
Jin W. G.,
Cheung Y. K.,
Zienkiewicz O. C.
Publication year - 1990
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.1620300605
Subject(s) - elasticity (physics) , mathematics , boundary value problem , plane (geometry) , mathematical analysis , mathematical optimization , geometry , physics , thermodynamics
Direct and indirect approximations using sets of non‐singular, complete Trefftz functions, i.e. the complete systems of solutions, have been successfully applied to harmonic problems. 1 In this paper, the procedure is applied to a more complex situation—plane elasticity problems. The examples show that the present method can avoid the difficulties relating to singular integration and has good accuracy compared with traditional boundary elements.