Computations of SIFs for non-symmetric V-notched plates by the FFEM

Muhammad Treifi; S. Olutunde Oyadiji

doi:10.1115/DETC2009-86585

Computations of SIFs for non-symmetric V-notched plates by the FFEM

Muhammad Treifi
, S. Olutunde Oyadiji

Research output: Chapter in Book/Conference proceeding › Conference contribution › peer-review

Abstract

The present paper further develops The Fractal-like Finite Element Method (FFEM) to compute the stress intensity factors (SIFs) for non-symmetrical configurations of sharp V-notched plates. The use of global interpolation functions (GIFs) in the FFEM significantly reduces the number of unknown variables (nodal displacements) in a singular region surrounding a singular point to a small set of generalised coordinates. The same exact analytical solutions of the notch tip asymptotic field derived for a symmetrical notch case can be used as GIFs when the notch is non-symmetrical. However, appropriate local coordinate transformation in the singular region is required to obtain the correct global stiffness matrix. Neither post-processing technique to extract SIFs nor special singular elements to model the singular region are required. Any conventional finite elements can be used to model the singular region. The SIFs are directly computed because of the use of exact analytical solutions as GIFs whose coefficients (generalised coordinates) are the unknowns in the singular region. To demonstrate the accuracy and efficiency of the FFEM to compute the SIFs and model the singularity at a notch tip of non-symmetrical configurations of notched plates, various numerical examples are presented and results are validated via available published data. Copyright © 2009 by ASME.

Original language	English
Title of host publication	Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference 2009, DETC2009\|Proc. ASME Int. Des. Eng. Tech. Conf. Comput. Inf. Eng. Conf., DETC
Place of Publication	New York
Publisher	American Society of Mechanical Engineers
Pages	711-717
Number of pages	6
Volume	3
ISBN (Print)	9780791849002
DOIs	https://doi.org/10.1115/DETC2009-86585
Publication status	Published - 2010
Event	2009 ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, DETC2009 - San Diego, CA Duration: 1 Jul 2010 → …

Conference

Conference	2009 ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, DETC2009
City	San Diego, CA
Period	1/07/10 → …

Keywords

Finite element method
Fractal-like finite element method
Fracture mechanics
Notch
Stress intensity factors

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10.1115/DETC2009-86585

Cite this

Treifi, M., & Oyadiji, S. O. (2010). Computations of SIFs for non-symmetric V-notched plates by the FFEM. In Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference 2009, DETC2009|Proc. ASME Int. Des. Eng. Tech. Conf. Comput. Inf. Eng. Conf., DETC (Vol. 3, pp. 711-717). American Society of Mechanical Engineers. https://doi.org/10.1115/DETC2009-86585

Treifi, Muhammad ; Oyadiji, S. Olutunde. / Computations of SIFs for non-symmetric V-notched plates by the FFEM. Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference 2009, DETC2009|Proc. ASME Int. Des. Eng. Tech. Conf. Comput. Inf. Eng. Conf., DETC. Vol. 3 New York : American Society of Mechanical Engineers, 2010. pp. 711-717

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title = "Computations of SIFs for non-symmetric V-notched plates by the FFEM",

abstract = "The present paper further develops The Fractal-like Finite Element Method (FFEM) to compute the stress intensity factors (SIFs) for non-symmetrical configurations of sharp V-notched plates. The use of global interpolation functions (GIFs) in the FFEM significantly reduces the number of unknown variables (nodal displacements) in a singular region surrounding a singular point to a small set of generalised coordinates. The same exact analytical solutions of the notch tip asymptotic field derived for a symmetrical notch case can be used as GIFs when the notch is non-symmetrical. However, appropriate local coordinate transformation in the singular region is required to obtain the correct global stiffness matrix. Neither post-processing technique to extract SIFs nor special singular elements to model the singular region are required. Any conventional finite elements can be used to model the singular region. The SIFs are directly computed because of the use of exact analytical solutions as GIFs whose coefficients (generalised coordinates) are the unknowns in the singular region. To demonstrate the accuracy and efficiency of the FFEM to compute the SIFs and model the singularity at a notch tip of non-symmetrical configurations of notched plates, various numerical examples are presented and results are validated via available published data. Copyright {\textcopyright} 2009 by ASME.",

keywords = "Finite element method, Fractal-like finite element method, Fracture mechanics, Notch, Stress intensity factors",

author = "Muhammad Treifi and Oyadiji, \{S. Olutunde\}",

year = "2010",

doi = "10.1115/DETC2009-86585",

language = "English",

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volume = "3",

pages = "711--717",

booktitle = "Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference 2009, DETC2009|Proc. ASME Int. Des. Eng. Tech. Conf. Comput. Inf. Eng. Conf., DETC",

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Treifi, M & Oyadiji, SO 2010, Computations of SIFs for non-symmetric V-notched plates by the FFEM. in Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference 2009, DETC2009|Proc. ASME Int. Des. Eng. Tech. Conf. Comput. Inf. Eng. Conf., DETC. vol. 3, American Society of Mechanical Engineers, New York, pp. 711-717, 2009 ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, DETC2009, San Diego, CA, 1/07/10. https://doi.org/10.1115/DETC2009-86585

Computations of SIFs for non-symmetric V-notched plates by the FFEM. / Treifi, Muhammad; Oyadiji, S. Olutunde.
Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference 2009, DETC2009|Proc. ASME Int. Des. Eng. Tech. Conf. Comput. Inf. Eng. Conf., DETC. Vol. 3 New York: American Society of Mechanical Engineers, 2010. p. 711-717.

Research output: Chapter in Book/Conference proceeding › Conference contribution › peer-review

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N2 - The present paper further develops The Fractal-like Finite Element Method (FFEM) to compute the stress intensity factors (SIFs) for non-symmetrical configurations of sharp V-notched plates. The use of global interpolation functions (GIFs) in the FFEM significantly reduces the number of unknown variables (nodal displacements) in a singular region surrounding a singular point to a small set of generalised coordinates. The same exact analytical solutions of the notch tip asymptotic field derived for a symmetrical notch case can be used as GIFs when the notch is non-symmetrical. However, appropriate local coordinate transformation in the singular region is required to obtain the correct global stiffness matrix. Neither post-processing technique to extract SIFs nor special singular elements to model the singular region are required. Any conventional finite elements can be used to model the singular region. The SIFs are directly computed because of the use of exact analytical solutions as GIFs whose coefficients (generalised coordinates) are the unknowns in the singular region. To demonstrate the accuracy and efficiency of the FFEM to compute the SIFs and model the singularity at a notch tip of non-symmetrical configurations of notched plates, various numerical examples are presented and results are validated via available published data. Copyright © 2009 by ASME.

AB - The present paper further develops The Fractal-like Finite Element Method (FFEM) to compute the stress intensity factors (SIFs) for non-symmetrical configurations of sharp V-notched plates. The use of global interpolation functions (GIFs) in the FFEM significantly reduces the number of unknown variables (nodal displacements) in a singular region surrounding a singular point to a small set of generalised coordinates. The same exact analytical solutions of the notch tip asymptotic field derived for a symmetrical notch case can be used as GIFs when the notch is non-symmetrical. However, appropriate local coordinate transformation in the singular region is required to obtain the correct global stiffness matrix. Neither post-processing technique to extract SIFs nor special singular elements to model the singular region are required. Any conventional finite elements can be used to model the singular region. The SIFs are directly computed because of the use of exact analytical solutions as GIFs whose coefficients (generalised coordinates) are the unknowns in the singular region. To demonstrate the accuracy and efficiency of the FFEM to compute the SIFs and model the singularity at a notch tip of non-symmetrical configurations of notched plates, various numerical examples are presented and results are validated via available published data. Copyright © 2009 by ASME.

KW - Finite element method

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KW - Notch

KW - Stress intensity factors

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M3 - Conference contribution

SN - 9780791849002

VL - 3

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BT - Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference 2009, DETC2009|Proc. ASME Int. Des. Eng. Tech. Conf. Comput. Inf. Eng. Conf., DETC

PB - American Society of Mechanical Engineers

CY - New York

T2 - 2009 ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, DETC2009

Y2 - 1 July 2010

ER -

Treifi M, Oyadiji SO. Computations of SIFs for non-symmetric V-notched plates by the FFEM. In Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference 2009, DETC2009|Proc. ASME Int. Des. Eng. Tech. Conf. Comput. Inf. Eng. Conf., DETC. Vol. 3. New York: American Society of Mechanical Engineers. 2010. p. 711-717 doi: 10.1115/DETC2009-86585

Computations of SIFs for non-symmetric V-notched plates by the FFEM

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