TY - GEN
T1 - On accurate numerical evaluation of stress intensity factors and T-stress in functionally graded materials
AU - Kim, Jeong Ho
AU - Paulino, Glaucio H.
PY - 2005
Y1 - 2005
N2 - This paper revisits the interaction integral method to evaluate both the mixed-mode stress intensity factors and the T-stress in functionally graded materials under mechanical loading. A nonequilibrium formulation is developed in an equivalent domain integral form, which is naturally suitable to the finite element method. Graded material properties are integrated into the element stiffness matrix using the generalized isoparametric formulation. The type of material gradation considered includes continuum functions, such as an exponential function, but the present formulation can be readily extended to micromechanical models. This paper presents a fracture problem with an inclined center crack in a plate and assesses the accuracy of the present method compared with available semi-analytical solutions.
AB - This paper revisits the interaction integral method to evaluate both the mixed-mode stress intensity factors and the T-stress in functionally graded materials under mechanical loading. A nonequilibrium formulation is developed in an equivalent domain integral form, which is naturally suitable to the finite element method. Graded material properties are integrated into the element stiffness matrix using the generalized isoparametric formulation. The type of material gradation considered includes continuum functions, such as an exponential function, but the present formulation can be readily extended to micromechanical models. This paper presents a fracture problem with an inclined center crack in a plate and assesses the accuracy of the present method compared with available semi-analytical solutions.
KW - Finite element method
KW - Functionally graded materials
KW - Generalized isoparametric formulation
KW - Interaction integral method
KW - Stress intensity factor
KW - T-stress
UR - http://www.scopus.com/inward/record.url?scp=35148866035&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=35148866035&partnerID=8YFLogxK
U2 - 10.4028/0-87849-970-9.403
DO - 10.4028/0-87849-970-9.403
M3 - Conference contribution
AN - SCOPUS:35148866035
SN - 0878499709
SN - 9780878499700
T3 - Materials Science Forum
SP - 403
EP - 408
BT - Functionally Graded Materials VIII, FGM2004 - Proceedings of the 8th International Symposium on Multifunctional and Functionally Graded Materials, (FGM2004)
PB - Trans Tech Publications Ltd
T2 - 8th International Symposium on Multifunctional and Functionally Graded Materials, FGM2004
Y2 - 11 July 2004 through 14 July 2004
ER -