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Please use this identifier to cite or link to this item: http://repository.iitr.ac.in/handle/123456789/11562
Title: Fatigue crack growth simulations of plastically graded materials using XFEM and J-integral decomposition approach
Authors: Kumar M.
Singh, Indra Vir
Mishra, B. K.
Published in: Engineering Fracture Mechanics
Abstract: In this work, fatigue crack growth in functionally graded materials (FGM)/plastically graded materials (PGM) is simulated using the J-integral decomposition approach and extended finite element method (XFEM). The fatigue crack growth rate is estimated by the stress intensity factor based Paris law. The stress intensity factor is computed by the J-integral decomposition approach. In this approach, state variables such as stress, strain and displacement derivatives are decomposed into their symmetric and anti-symmetric parts across the crack surface. The numerical issues faced in J-integral computation such as the evaluation of stress at spatial mirror point and strain energy density derivative are properly addressed. A novel data transfer scheme is proposed to evaluate the stresses at the spatial mirror point. In this scheme, the derivative of strain energy density is calculated by surface approximation of the strain energy density. Various fatigue crack growth problems are simulated by the proposed methodology under mode-I and mixed mode loading. A component level problem i.e. fatigue crack growth in an aero-engine turbine disc made of plastically graded material is solved to demonstrate the versatility of the presented methodology. © 2019 Elsevier Ltd
Citation: Engineering Fracture Mechanics (2019), 216(): -
URI: https://doi.org/10.1016/j.engfracmech.2019.05.002
http://repository.iitr.ac.in/handle/123456789/11562
Issue Date: 2019
Publisher: Elsevier Ltd
Keywords: Fatigue crack growth
Functionally graded material (FGM)
J-integral decomposition
Plastically graded material (PGM)
XFEM
ISSN: 137944
Author Scopus IDs: 57199856545
57204061377
55578538300
Author Affiliations: Kumar, M., Department of Mechanical and Industrial Engineering, Indian Institute of Technology, Roorkee, Uttarakhand 247667, India
Singh, I.V., Department of Mechanical and Industrial Engineering, Indian Institute of Technology, Roorkee, Uttarakhand 247667, India
Mishra, B.K., Department of Mechanical and Industrial Engineering, Indian Institute of Technology, Roorkee, Uttarakhand 247667, India
Funding Details: This work is done as part of the doctoral thesis work of Mr. Manish Kumar. The authors are grateful for the funding provided by the Ministry of Human Resource and Development, Governing of India . The authors would also like to thank Mr. Subrato Sarkar for his technical inputs and continuous support.
Corresponding Author: Singh, I.V.; Department of Mechanical and Industrial Engineering, Indian Institute of TechnologyIndia; email: indrafme@iitr.ac.in
Appears in Collections:Journal Publications [ME]

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