Premium
Finite element evaluation of mixed mode stress intensity factors in functionally graded materials
Author(s) -
Kim JeongHo,
Paulino Glaucio H.
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.364
Subject(s) - finite element method , stress intensity factor , displacement (psychology) , computation , stiffness matrix , stiffness , mixed finite element method , structural engineering , mathematics , mathematical analysis , matrix (chemical analysis) , extended finite element method , mode (computer interface) , geometry , stress (linguistics) , functionally graded material , materials science , material properties , engineering , composite material , computer science , algorithm , psychology , psychotherapist , operating system , linguistics , philosophy
This paper is directed towards finite element computation of fracture parameters in functionally graded material (FGM) assemblages of arbitrary geometry with stationary cracks. Graded finite elements are developed where the elastic moduli are smooth functions of spatial co‐ordinates which are integrated into the element stiffness matrix. In particular, stress intensity factors for mode I and mixed‐mode two‐dimensional problems are evaluated and compared through three different approaches tailored for FGMs: path‐independent J * k ‐integral, modified crack‐closure integral method, and displacement correlation technique. The accuracy of these methods is discussed based on comparison with available theoretical, experimental or numerical solutions. Copyright © 2001 John Wiley & Sons, Ltd.