TY - JOUR
T1 - Mixed-mode J-integral formulation and implementation using graded elements for fracture analysis of nonhomogeneous orthotropic materials
AU - Kim, Jeong Ho
AU - Paulino, Glaucio H.
N1 - Funding Information:
This work was supported by the National Science Foundation (NSF) under grant CMS-0115954 (Mechanics &Materials Program). Additional support for this work was provided by the NASA-Ames “Engineering for Complex Systems Program”, and the NASA-Ames Chief Engineer (Dr. Tina Panontin) through grant NAG 2-1424.
PY - 2003/1
Y1 - 2003/1
N2 - The path-independent J*k-integral, in conjunction with the finite element method (FEM), is presented for mode I and mixed-mode crack problems in orthotropic functionally graded materials (FGMs) considering plane elasticity. A general procedure is presented where the crack is arbitrarily oriented, i.e. it does not need to be aligned with the principal orthotropy directions. Smooth spatial variations of the independent engineering material properties are incorporated into the element stiffness matrix using a "generalized isoparametric formulation", which is natural to the FEM. Both exponential and linear variations of the material properties are considered. Stress intensity factors and energy release rates for pure mode I and mixed-mode boundary value problems are numerically evaluated by means of the equivalent domain integral especially tailored for orthotropic FGMs. Numerical results are discussed and validated against available theoretical and numerical solutions.
AB - The path-independent J*k-integral, in conjunction with the finite element method (FEM), is presented for mode I and mixed-mode crack problems in orthotropic functionally graded materials (FGMs) considering plane elasticity. A general procedure is presented where the crack is arbitrarily oriented, i.e. it does not need to be aligned with the principal orthotropy directions. Smooth spatial variations of the independent engineering material properties are incorporated into the element stiffness matrix using a "generalized isoparametric formulation", which is natural to the FEM. Both exponential and linear variations of the material properties are considered. Stress intensity factors and energy release rates for pure mode I and mixed-mode boundary value problems are numerically evaluated by means of the equivalent domain integral especially tailored for orthotropic FGMs. Numerical results are discussed and validated against available theoretical and numerical solutions.
KW - Equivalent domain integral
KW - Finite element method
KW - Functionally graded material
KW - J-integral
KW - Orthotropic material
KW - Stress intensity factor
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U2 - 10.1016/S0167-6636(02)00159-X
DO - 10.1016/S0167-6636(02)00159-X
M3 - Article
AN - SCOPUS:0037210112
SN - 0167-6636
VL - 35
SP - 107
EP - 128
JO - Mechanics of Materials
JF - Mechanics of Materials
IS - 1-2
ER -