TY - JOUR
T1 - The interaction integral for fracture of orthotropic functionally graded materials
T2 - Evaluation of stress intensity factors
AU - Kim, Jeong Ho
AU - Paulino, Glaucio H.
N1 - Funding Information:
We gratefully acknowledge the support from NASA-Ames, Engineering for Complex Systems Program, and the NASA-Ames Chief Engineer (Dr. Tina Panontin) through grant NAG 2-1424. We also acknowledge additional support from the National Science Foundation (NSF) under grant CMS-0115954 (Mechanics & Materials Program). Any opinions expressed herein are those of the writers and do not necessarily reflect the views of the sponsors.
PY - 2003/7
Y1 - 2003/7
N2 - The interaction integral is an accurate and robust scheme for evaluating mixed-mode stress intensity factors. This paper extends the concept to orthotropic functionally graded materials and addresses fracture mechanics problems with arbitrarily oriented straight and/or curved cracks. The gradation of orthotropic material properties are smooth functions of spatial coordinates, which are integrated into the element stiffness matrix using the so-called "generalized isoparametric formulation". The types of orthotropic material gradation considered include exponential, radial, and hyperbolic-tangent functions. Stress intensity factors for mode I and mixed-mode two-dimensional problems are evaluated by means of the interaction integral and the finite element method. Extensive computational experiments have been performed to validate the proposed formulation. The accuracy of numerical results is discussed by comparison with available analytical, semi-analytical, or numerical solutions.
AB - The interaction integral is an accurate and robust scheme for evaluating mixed-mode stress intensity factors. This paper extends the concept to orthotropic functionally graded materials and addresses fracture mechanics problems with arbitrarily oriented straight and/or curved cracks. The gradation of orthotropic material properties are smooth functions of spatial coordinates, which are integrated into the element stiffness matrix using the so-called "generalized isoparametric formulation". The types of orthotropic material gradation considered include exponential, radial, and hyperbolic-tangent functions. Stress intensity factors for mode I and mixed-mode two-dimensional problems are evaluated by means of the interaction integral and the finite element method. Extensive computational experiments have been performed to validate the proposed formulation. The accuracy of numerical results is discussed by comparison with available analytical, semi-analytical, or numerical solutions.
KW - Finite element method (FEM)
KW - Fracture mechanics
KW - Functionally graded material (FGM)
KW - Generalized isoparametric formulation (GIF)
KW - Interaction integral
KW - Stress intensity factor (SIF)
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U2 - 10.1016/S0020-7683(03)00176-8
DO - 10.1016/S0020-7683(03)00176-8
M3 - Article
AN - SCOPUS:0038007848
SN - 0020-7683
VL - 40
SP - 3967
EP - 4001
JO - International Journal of Solids and Structures
JF - International Journal of Solids and Structures
IS - 15
ER -