A higher order scheme for two-dimensional quasi-static crack growth simulations
(2007) In Computer Methods in Applied Mechanics and Engineering 196(21-24). p.2527-2538- Abstract
- An efficient scheme for the simulation of quasi-static crack growth in two-dimensional linearly elastic isotropic specimens is presented. The crack growth is simulated in a stepwise manner where an extension to the already existing crack is added in each step. In a local coordinate system each such extension is represented as a polynomial of some, user specified, degree, n. The coefficients of the polynomial describing an extension are found by requiring that the mode II stress intensity factor is equal to zero at certain points of the extension. If a crack grows from a, pre-existing crack so that a kink develops, the leading term describing the crack shape close to the kink will, in a local coordinate system, be proportional to x(3/2). We... (More)
- An efficient scheme for the simulation of quasi-static crack growth in two-dimensional linearly elastic isotropic specimens is presented. The crack growth is simulated in a stepwise manner where an extension to the already existing crack is added in each step. In a local coordinate system each such extension is represented as a polynomial of some, user specified, degree, n. The coefficients of the polynomial describing an extension are found by requiring that the mode II stress intensity factor is equal to zero at certain points of the extension. If a crack grows from a, pre-existing crack so that a kink develops, the leading term describing the crack shape close to the kink will, in a local coordinate system, be proportional to x(3/2). We therefore allow the crack extensions to contain such a term in addition to the monomial terms. The discontinuity in the crack growth direction at a kink, the kink angle, is determined by requiring that the mode II stress intensity factor should be equal to zero for an infinitesimal extension of the existing crack. To implement the scheme, accurate values of the stress intensity factors and T-stress are needed in each step of the simulation. These fracture parameters are computed using a previously developed integral equation of the second kind. (c) 2007 Elsevier B.V. All rights reserved. (Less)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/629682
- author
- Englund, Jonas LU
- organization
- publishing date
- 2007
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- fast, integral equation, multipole method, stress intensity factor, crack growth
- in
- Computer Methods in Applied Mechanics and Engineering
- volume
- 196
- issue
- 21-24
- pages
- 2527 - 2538
- publisher
- Elsevier
- external identifiers
-
- wos:000246126700017
- scopus:33947634583
- ISSN
- 0045-7825
- DOI
- 10.1016/j.cma.2007.01.007
- language
- English
- LU publication?
- yes
- additional info
- The information about affiliations in this record was updated in December 2015. The record was previously connected to the following departments: Numerical Analysis (011015004)
- id
- 2244dc65-4b98-44fe-ac07-4ab127de9da9 (old id 629682)
- alternative location
- http://www.maths.lth.se/na/staff/helsing/paperA.pdf
- date added to LUP
- 2016-04-01 16:37:31
- date last changed
- 2022-02-27 22:28:44
@article{2244dc65-4b98-44fe-ac07-4ab127de9da9,
abstract = {{An efficient scheme for the simulation of quasi-static crack growth in two-dimensional linearly elastic isotropic specimens is presented. The crack growth is simulated in a stepwise manner where an extension to the already existing crack is added in each step. In a local coordinate system each such extension is represented as a polynomial of some, user specified, degree, n. The coefficients of the polynomial describing an extension are found by requiring that the mode II stress intensity factor is equal to zero at certain points of the extension. If a crack grows from a, pre-existing crack so that a kink develops, the leading term describing the crack shape close to the kink will, in a local coordinate system, be proportional to x(3/2). We therefore allow the crack extensions to contain such a term in addition to the monomial terms. The discontinuity in the crack growth direction at a kink, the kink angle, is determined by requiring that the mode II stress intensity factor should be equal to zero for an infinitesimal extension of the existing crack. To implement the scheme, accurate values of the stress intensity factors and T-stress are needed in each step of the simulation. These fracture parameters are computed using a previously developed integral equation of the second kind. (c) 2007 Elsevier B.V. All rights reserved.}},
author = {{Englund, Jonas}},
issn = {{0045-7825}},
keywords = {{fast; integral equation; multipole method; stress intensity factor; crack growth}},
language = {{eng}},
number = {{21-24}},
pages = {{2527--2538}},
publisher = {{Elsevier}},
series = {{Computer Methods in Applied Mechanics and Engineering}},
title = {{A higher order scheme for two-dimensional quasi-static crack growth simulations}},
url = {{https://lup.lub.lu.se/search/files/4728289/4254535.pdf}},
doi = {{10.1016/j.cma.2007.01.007}},
volume = {{196}},
year = {{2007}},
}