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Please use this identifier to cite or link to this item: http://repository.iitr.ac.in/handle/123456789/17790
Title: Nonlinear Fatigue Crack Growth Simulations using J-integral Decomposition and XFEM
Authors: Kumar M.
Bhuwal A.S.
Singh I.V.
Mishra B.K.
Ahmad S.
Rao A.V.
Kumar V.
Gupt N.K.
Iqba M.A.
Published in: Proceedings of Procedia Engineering
Abstract: In the present work, nonlinear fatigue crack growth analysis of an inclined edge crack is performed by extended finite element method (XFEM) [1]. The material behavior is assumed to be nonlinear, which is modelled by Ramberg-Osgood model and von-Mises yield criterion. Due to inherent material nonlinearity, the interaction integral approach cannot be used for evaluating the individual stress intensity factors (SIFs). Hence, the mixed mode crack growth problem is solved by decomposing the mixed mode J-integral into mode-I and mode-II. The decomposition of stress, strain and displacement fields is done by considering the symmetric and anti-symmetric parts of the corresponding field [2]. The symmetric part of these fields is related with the symmetric part of J-integral and provides mode-I SIF (KI) whereas the anti-symmetric part of these fields provides the mode-II SIF (KII). The equivalent KI and KII are used to find the direction of crack growth and the equivalent effective KIeq for the obtained direction of the crack growth. The range of KIeq (ΔKIeq) is used with the Paris law to evaluate the rate of crack growth. For highly nonlinear materials, J-integral decomposition method is more suitable then interaction integral approach. © 2017 The Authors.
Citation: Proceedings of Procedia Engineering, (2017), 1209- 1214
URI: https://doi.org/10.1016/j.proeng.2016.12.126
http://repository.iitr.ac.in/handle/123456789/17790
Issue Date: 2017
Publisher: Elsevier Ltd
Keywords: Extended finite element method
J-integral
Stress intensity factor
ISSN: 18777058
Author Scopus IDs: 57199856545
57193831080
57204061377
55578538300
56640431400
57198920326
57200714018
Author Affiliations: Kumar, M., Department of Mechanical and Industrial Engineering, Indian Institute of Technology Roorkee, Roorkee, 247667, India
Bhuwal, A.S., Department of Mechanical and Industrial Engineering, Indian Institute of Technology Roorkee, Roorkee, 247667, India
Singh, I.V., Department of Mechanical and Industrial Engineering, Indian Institute of Technology Roorkee, Roorkee, 247667, India
Mishra, B.K., Department of Mechanical and Industrial Engineering, Indian Institute of Technology Roorkee, Roorkee, 247667, India
Ahmad, S., Defence Metallurgical Research Laboratory, DRDO, Hyderabad, India
Rao, A.V., Defence Metallurgical Research Laboratory, DRDO, Hyderabad, India
Kumar, V., Defence Metallurgical Research Laboratory, DRDO, Hyderabad, India
Corresponding Author: Singh, I.V.; Department of Mechanical and Industrial Engineering, Indian Institute of Technology RoorkeeIndia; email: ivsingh@gmail.com
Appears in Collections:Conference Publications [ME]

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