This paper presents two new interaction integrals for calculating stress-intensity factors (SIFs) for a stationary crack in two-dimensional orthotropic functionally graded materials of arbitrary geometry. The method involves the finite element discretization, 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 meshless method, boundary element method, and others. Three numerical examples including both mode-I and mixed-mode problems are presented to evaluate the accuracy of SIFs calculated by the proposed interaction integrals. Comparisons have been made between the SIFs predicted by the proposed interaction integrals and available reference solutions in the literature, generated either analytically or by finite element method using various other fracture integrals or analyses. An excellent agreement is obtained between the results of the proposed interaction integrals and the reference solutions.
Skip Nav Destination
ASME 2003 Pressure Vessels and Piping Conference
July 20–24, 2003
Cleveland, Ohio, USA
Conference Sponsors:
- Pressure Vessels and Piping Division
ISBN:
0-7918-1699-0
PROCEEDINGS PAPER
A New Interaction Integral Method for Analysis of Cracks in Orthotropic Functionally Graded Materials
B. N. Rao
University of Iowa, Iowa City, IA
S. Rahman
University of Iowa, Iowa City, IA
Paper No:
PVP2003-1906, pp. 215-230; 16 pages
Published Online:
August 13, 2008
Citation
Rao, BN, & Rahman, S. "A New Interaction Integral Method for Analysis of Cracks in Orthotropic Functionally Graded Materials." Proceedings of the ASME 2003 Pressure Vessels and Piping Conference. Computer Technology and Applications. Cleveland, Ohio, USA. July 20–24, 2003. pp. 215-230. ASME. https://doi.org/10.1115/PVP2003-1906
Download citation file:
6
Views
Related Proceedings Papers
Related Articles
Variable Material Properties Approach: A Review on Twenty Years of Progress
J. Pressure Vessel Technol (October,2018)
Mixed-Mode Dynamic Crack Growth in a Functionally Graded Particulate Composite: Experimental Measurements and Finite Element Simulations
J. Appl. Mech (September,2008)
Parametric Formulation of the Finite-Volume Theory for Functionally Graded Materials—Part II: Numerical Results
J. Appl. Mech (September,2007)
Related Chapters
Conclusion
Introduction to Finite Element, Boundary Element, and Meshless Methods: With Applications to Heat Transfer and Fluid Flow
Data Tabulations
Structural Shear Joints: Analyses, Properties and Design for Repeat Loading
Approximate Analysis of Plates
Design of Plate and Shell Structures