XFEM Analyses Using Two-Dimensional Quadrilateral Elements Enriched with Only the Heaviside Step Function
Keyword(s):
In the framework of the extended finite element method, a two-dimensional four-node quadrilateral element enriched with only the Heaviside step function is formulated for stationary and propagating crack analyses. In the proposed method, two types of signed distance functions are used to implicitly express crack geometry, and finite elements, which interact with the crack, are appropriately partitioned according to the level set values and are then integrated numerically for derivation of the stiffness matrix and internal force vectors. The proposed method was verified by evaluating stress intensity factors, performing crack propagation analyses and comparing the obtained results with reference solutions.
2012 ◽
Vol 90
(9)
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pp. 1118-1155
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2018 ◽
Vol 117
(13)
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pp. 1263-1282
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2013 ◽
Vol 10
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pp. 1340006
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2018 ◽
Vol 31
(4)
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pp. 199-206
2018 ◽
Vol 115
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pp. 168-193
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2019 ◽
Vol 145
(10)
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pp. 04019081
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Keyword(s):
2019 ◽
2013 ◽
Vol 20
(5)
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pp. 1420-1425
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