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Application of displacement and hybrid strees methods to plane notch and crack problems
Author(s) -
Schnack Eckart,
Wolf Michael
Publication year - 1978
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.1620120608
Subject(s) - displacement (psychology) , stress intensity factor , plane (geometry) , structural engineering , stress (linguistics) , convergence (economics) , mathematics , finite element method , geometry , mathematical analysis , engineering , psychology , linguistics , philosophy , economics , psychotherapist , economic growth
For calculating stress concentration factors at plane notches and stress intensity factors at plane cracks a system of finite elements is proposed which uses specially developed triangular hybrid stress elements at the notches and cracks and combines them with triangular elements acording to the displacement method. In formulating the stresses at the notches the Fade‐away Law formulated by Neuber has been taken into consideration; for the cracks, formulations are used which exactly contain the stress distribution of Irwin's equations. The quick convergence and high degree of accuracy of this approach are demonstrated by way of test examples.