Show/Hide Menu
Hide/Show Apps
anonymousUser
Logout
Türkçe
Türkçe
Search
Search
Login
Login
OpenMETU
OpenMETU
About
About
Open Science Policy
Open Science Policy
Communities & Collections
Communities & Collections
Help
Help
Frequently Asked Questions
Frequently Asked Questions
Videos
Videos
Thesis submission
Thesis submission
Publication submission with DOI
Publication submission with DOI
Publication submission
Publication submission
Contact us
Contact us
Elastic analysis of a circumferential crack in an isotropic curved beam using the modified mapping-collocation method
Date
2014-07-01
Author
Amireghbali, Aydin
Çöker, Demirkan
Metadata
Show full item record
This work is licensed under a
Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
.
Item Usage Stats
5
views
0
downloads
Cite This
The modified mapping-collocation (MMC) method was applied to the boundary value problem (BVP) of a circumferential crack in an isotropic elastic curved beam subjected to pure bending moment loading. The stress correlation technique is then used to determine opening and sliding mode stress intensity factor (SIF) values based on the computed stress field near the crack tip. The MMC method aims at solving two-dimensional BVP of linear elastic fracture mechanics (LEFM) circumventing the need for direct treatment of the biharmonic equation by combining the power of analytic tools of complex analysis (Muskhelishvili formulation, conformal mapping, and continuation arguments) with simplicity of applying the boundary collocation method as a numerical solution approach. A good qualitative agreement between the computed stress contours and the fringe shapes obtained from the photoelastic experiment on a plexiglass specimen is observed. A quantitative comparison with FEM results is also made using ANSYS. The effect of crack size, crack position and beam thickness variation on SIF values and mode-mixity is investigated.
Subject Keywords
Modified mapping-collocation (MMC) method
,
Linear elastic fracture mechanics (LEFM)
,
Stress intensity factor (SIF)
,
Circumferential crack
,
Curved beam
,
Complex analysis
URI
https://hdl.handle.net/11511/46852
Journal
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
DOI
https://doi.org/10.1016/j.cam.2013.12.053
Collections
Department of Aerospace Engineering, Article
Citation Formats
IEEE
ACM
APA
CHICAGO
MLA
BibTeX
A. Amireghbali and D. Çöker, “Elastic analysis of a circumferential crack in an isotropic curved beam using the modified mapping-collocation method,”
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
, vol. 264, pp. 131–138, 2014, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/46852.