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Article: A phase‐field method for modeling cracks with frictional contact
Title | A phase‐field method for modeling cracks with frictional contact |
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Authors | |
Keywords | crack fracture frictional contact interface phase‐field method |
Issue Date | 2020 |
Publisher | John Wiley & Sons Ltd. The Journal's web site is located at http://www3.interscience.wiley.com/cgi-bin/jhome/1430 |
Citation | International Journal for Numerical Methods in Engineering, 2020, v. 121 n. 4, p. 740-762 How to Cite? |
Abstract | We introduce a phase‐field method for continuous modeling of cracks with frictional contacts. Compared with standard discrete methods for frictional contacts, the phase‐field method has two attractive features: (i) it can represent arbitrary crack geometry without an explicit function or basis enrichment, and (ii) it does not require an algorithm for imposing contact constraints. The first feature, which is common in phase‐field models of fracture, is attained by regularizing a sharp interface geometry using a surface density functional. The second feature, which is a unique advantage for contact problems, is achieved by a new approach that calculates the stress tensor in the regularized interface region depending on the contact condition of the interface. Particularly, under a slip condition, this approach updates stress components in the slip direction using a standard contact constitutive law, while making other stress components compatible with stress in the bulk region to ensure nonpenetrating deformation in other directions. We verify the proposed phase‐field method using stationary interface problems simulated by discrete methods in the literature. Subsequently, by allowing the phase field to evolve according to brittle fracture theory, we demonstrate the proposed method's capability for modeling crack growth with frictional contact. |
Persistent Identifier | http://hdl.handle.net/10722/282905 |
ISSN | 2023 Impact Factor: 2.7 2023 SCImago Journal Rankings: 1.019 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | FEI, F | - |
dc.contributor.author | Choo, J | - |
dc.date.accessioned | 2020-06-05T06:22:55Z | - |
dc.date.available | 2020-06-05T06:22:55Z | - |
dc.date.issued | 2020 | - |
dc.identifier.citation | International Journal for Numerical Methods in Engineering, 2020, v. 121 n. 4, p. 740-762 | - |
dc.identifier.issn | 0029-5981 | - |
dc.identifier.uri | http://hdl.handle.net/10722/282905 | - |
dc.description.abstract | We introduce a phase‐field method for continuous modeling of cracks with frictional contacts. Compared with standard discrete methods for frictional contacts, the phase‐field method has two attractive features: (i) it can represent arbitrary crack geometry without an explicit function or basis enrichment, and (ii) it does not require an algorithm for imposing contact constraints. The first feature, which is common in phase‐field models of fracture, is attained by regularizing a sharp interface geometry using a surface density functional. The second feature, which is a unique advantage for contact problems, is achieved by a new approach that calculates the stress tensor in the regularized interface region depending on the contact condition of the interface. Particularly, under a slip condition, this approach updates stress components in the slip direction using a standard contact constitutive law, while making other stress components compatible with stress in the bulk region to ensure nonpenetrating deformation in other directions. We verify the proposed phase‐field method using stationary interface problems simulated by discrete methods in the literature. Subsequently, by allowing the phase field to evolve according to brittle fracture theory, we demonstrate the proposed method's capability for modeling crack growth with frictional contact. | - |
dc.language | eng | - |
dc.publisher | John Wiley & Sons Ltd. The Journal's web site is located at http://www3.interscience.wiley.com/cgi-bin/jhome/1430 | - |
dc.relation.ispartof | International Journal for Numerical Methods in Engineering | - |
dc.rights | Preprint This is the pre-peer reviewed version of the following article: [FULL CITE], which has been published in final form at [Link to final article using the DOI]. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Use of Self-Archived Versions. Postprint This is the peer reviewed version of the following article: [FULL CITE], which has been published in final form at [Link to final article using the DOI]. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Use of Self-Archived Versions. | - |
dc.subject | crack | - |
dc.subject | fracture | - |
dc.subject | frictional contact | - |
dc.subject | interface | - |
dc.subject | phase‐field method | - |
dc.title | A phase‐field method for modeling cracks with frictional contact | - |
dc.type | Article | - |
dc.identifier.email | Choo, J: jchoo@hku.hk | - |
dc.identifier.authority | Choo, J=rp02364 | - |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1002/nme.6242 | - |
dc.identifier.scopus | eid_2-s2.0-85075478296 | - |
dc.identifier.hkuros | 310298 | - |
dc.identifier.volume | 121 | - |
dc.identifier.issue | 4 | - |
dc.identifier.spage | 740 | - |
dc.identifier.epage | 762 | - |
dc.identifier.isi | WOS:000496481600001 | - |
dc.publisher.place | United Kingdom | - |
dc.identifier.issnl | 0029-5981 | - |