This paper presents a Galerkin-based meshless method for calculating stress-intensity factors (SIFs) for a stationary crack in two-dimensional functionally graded materials of arbitrary geometry. The method involves an element-free Galerkin method (EFGM), where the material properties are smooth functions of spatial co-ordinates and two newly developed interaction integrals for mixed-mode fracture analysis. These integrals can also be implemented in conjunction with other numerical methods, such as the finite element method (FEM). Five numerical examples including both mode-I and mixed-mode problems are presented to evaluate the accuracy of SIFs calculated by the proposed EFGM. Comparisons have been made between the SIFs predicted by EFGM and available reference solutions in the literature, generated either analytically or by FEM using various other fracture integrals or analyses. A good agreement is obtained between the results of the proposed meshless method and the reference solutions.
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ASME 2002 Pressure Vessels and Piping Conference
August 5–9, 2002
Vancouver, BC, Canada
Conference Sponsors:
- Pressure Vessels and Piping Division
ISBN:
0-7918-1949-3
PROCEEDINGS PAPER
A New Interaction Integral Method for Mesh-Free Analysis of Cracks in Functionally Graded Materials
B. N. Rao
University of Iowa, Iowa City, IA
S. Rahman
University of Iowa, Iowa City, IA
Paper No:
PVP2002-1195, pp. 55-76; 22 pages
Published Online:
August 14, 2008
Citation
Rao, BN, & Rahman, S. "A New Interaction Integral Method for Mesh-Free Analysis of Cracks in Functionally Graded Materials." Proceedings of the ASME 2002 Pressure Vessels and Piping Conference. New and Emerging Computational Methods: Applications to Fracture, Damage, and Reliability. Vancouver, BC, Canada. August 5–9, 2002. pp. 55-76. ASME. https://doi.org/10.1115/PVP2002-1195
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