A novel adaptive mesh refinement scheme for the simulation of phase‐field fracture using trimmed hexahedral meshes
In this article, a novel adaptive mesh refinement scheme based on trimmed hexahedral (TH) meshes is proposed to simulate phase‐field fracture in brittle materials. A regular hexahedral background mesh is adaptively refined using a balanced octree algorithm to resolve the length scale in phase‐field...
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| Veröffentlicht in: | International journal for numerical methods in engineering 2021-03, Vol.122 (6), p.1493-1512 |
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| container_title | International journal for numerical methods in engineering |
| container_volume | 122 |
| creator | Kim, Ho‐Young Kim, Hyun‐Gyu |
| description | In this article, a novel adaptive mesh refinement scheme based on trimmed hexahedral (TH) meshes is proposed to simulate phase‐field fracture in brittle materials. A regular hexahedral background mesh is adaptively refined using a balanced octree algorithm to resolve the length scale in phase‐field fracture models. Adaptively refined TH meshes are created by cutting octree background meshes with the boundary of an analysis domain. A multithreshold criterion for mesh refinement is proposed to accurately capture the evolution of the damage phase field. Shape functions for transition TH elements are developed to satisfy the compatibility across the interelement boundaries between TH elements with different refinement levels. Numerical results show that the present scheme is very efficient and effective to trace arbitrary evolving phase‐field cracks in three dimensions. |
| doi_str_mv | 10.1002/nme.6587 |
| format | Article |
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A regular hexahedral background mesh is adaptively refined using a balanced octree algorithm to resolve the length scale in phase‐field fracture models. Adaptively refined TH meshes are created by cutting octree background meshes with the boundary of an analysis domain. A multithreshold criterion for mesh refinement is proposed to accurately capture the evolution of the damage phase field. Shape functions for transition TH elements are developed to satisfy the compatibility across the interelement boundaries between TH elements with different refinement levels. Numerical results show that the present scheme is very efficient and effective to trace arbitrary evolving phase‐field cracks in three dimensions.</description><identifier>ISSN: 0029-5981</identifier><identifier>EISSN: 1097-0207</identifier><identifier>DOI: 10.1002/nme.6587</identifier><language>eng</language><publisher>Hoboken, USA: John Wiley & Sons, Inc</publisher><subject>adaptive mesh refinement ; Algorithms ; Brittle materials ; finite element analysis ; Finite element method ; Grid refinement (mathematics) ; Octrees ; phase‐field fracture models ; Shape functions ; trimmed hexahedral mesh</subject><ispartof>International journal for numerical methods in engineering, 2021-03, Vol.122 (6), p.1493-1512</ispartof><rights>2020 John Wiley & Sons, Ltd.</rights><rights>2021 John Wiley & Sons, Ltd.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c2937-480acd730256497cee36a76f635e7aa69a646ad882c5e5101875b3d8e053cc333</citedby><cites>FETCH-LOGICAL-c2937-480acd730256497cee36a76f635e7aa69a646ad882c5e5101875b3d8e053cc333</cites><orcidid>0000-0003-3469-4381</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://onlinelibrary.wiley.com/doi/pdf/10.1002%2Fnme.6587$$EPDF$$P50$$Gwiley$$H</linktopdf><linktohtml>$$Uhttps://onlinelibrary.wiley.com/doi/full/10.1002%2Fnme.6587$$EHTML$$P50$$Gwiley$$H</linktohtml><link.rule.ids>314,776,780,1411,27901,27902,45550,45551</link.rule.ids></links><search><creatorcontrib>Kim, Ho‐Young</creatorcontrib><creatorcontrib>Kim, Hyun‐Gyu</creatorcontrib><title>A novel adaptive mesh refinement scheme for the simulation of phase‐field fracture using trimmed hexahedral meshes</title><title>International journal for numerical methods in engineering</title><description>In this article, a novel adaptive mesh refinement scheme based on trimmed hexahedral (TH) meshes is proposed to simulate phase‐field fracture in brittle materials. 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Numerical results show that the present scheme is very efficient and effective to trace arbitrary evolving phase‐field cracks in three dimensions.</description><subject>adaptive mesh refinement</subject><subject>Algorithms</subject><subject>Brittle materials</subject><subject>finite element analysis</subject><subject>Finite element method</subject><subject>Grid refinement (mathematics)</subject><subject>Octrees</subject><subject>phase‐field fracture models</subject><subject>Shape functions</subject><subject>trimmed hexahedral mesh</subject><issn>0029-5981</issn><issn>1097-0207</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2021</creationdate><recordtype>article</recordtype><recordid>eNp1kEtOwzAQhi0EEqUgcQRLbNik2HEc28uqKg-pwAbWlnEmxFVe2A7QHUfgjJyEtGXLakaaT__MfAidUzKjhKRXbQOznEtxgCaUKJGQlIhDNBlHKuFK0mN0EsKaEEo5YRMU57jt3qHGpjB9dO-AGwgV9lC6FhpoIw62Ghtcdh7HCnBwzVCb6LoWdyXuKxPg5-u7dFAXuPTGxsEDHoJrX3H0rmmgwBV8mgoKb-pdOIRTdFSaOsDZX52i5-vl0-I2WT3e3C3mq8Smiokkk8TYQjCS8jxTwgKw3Ii8zBkHYUyuTJ7lppAytRw4JVQK_sIKCYQzaxljU3Sxz-199zZAiHrdDb4dV-o0U1RyxbNspC73lPVdCOPnuh8PN36jKdFbp3p0qrdORzTZox-uhs2_nH64X-74X7YieeY</recordid><startdate>20210330</startdate><enddate>20210330</enddate><creator>Kim, Ho‐Young</creator><creator>Kim, Hyun‐Gyu</creator><general>John Wiley & Sons, Inc</general><general>Wiley Subscription Services, Inc</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>7TB</scope><scope>8FD</scope><scope>FR3</scope><scope>JQ2</scope><scope>KR7</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope><orcidid>https://orcid.org/0000-0003-3469-4381</orcidid></search><sort><creationdate>20210330</creationdate><title>A novel adaptive mesh refinement scheme for the simulation of phase‐field fracture using trimmed hexahedral meshes</title><author>Kim, Ho‐Young ; Kim, Hyun‐Gyu</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c2937-480acd730256497cee36a76f635e7aa69a646ad882c5e5101875b3d8e053cc333</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2021</creationdate><topic>adaptive mesh refinement</topic><topic>Algorithms</topic><topic>Brittle materials</topic><topic>finite element analysis</topic><topic>Finite element method</topic><topic>Grid refinement (mathematics)</topic><topic>Octrees</topic><topic>phase‐field fracture models</topic><topic>Shape functions</topic><topic>trimmed hexahedral mesh</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Kim, Ho‐Young</creatorcontrib><creatorcontrib>Kim, Hyun‐Gyu</creatorcontrib><collection>CrossRef</collection><collection>Computer and Information Systems Abstracts</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Civil Engineering Abstracts</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><jtitle>International journal for numerical methods in engineering</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Kim, Ho‐Young</au><au>Kim, Hyun‐Gyu</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>A novel adaptive mesh refinement scheme for the simulation of phase‐field fracture using trimmed hexahedral meshes</atitle><jtitle>International journal for numerical methods in engineering</jtitle><date>2021-03-30</date><risdate>2021</risdate><volume>122</volume><issue>6</issue><spage>1493</spage><epage>1512</epage><pages>1493-1512</pages><issn>0029-5981</issn><eissn>1097-0207</eissn><abstract>In this article, a novel adaptive mesh refinement scheme based on trimmed hexahedral (TH) meshes is proposed to simulate phase‐field fracture in brittle materials. 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| ispartof | International journal for numerical methods in engineering, 2021-03, Vol.122 (6), p.1493-1512 |
| issn | 0029-5981 1097-0207 |
| language | eng |
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| source | Wiley Online Library Journals Frontfile Complete |
| subjects | adaptive mesh refinement Algorithms Brittle materials finite element analysis Finite element method Grid refinement (mathematics) Octrees phase‐field fracture models Shape functions trimmed hexahedral mesh |
| title | A novel adaptive mesh refinement scheme for the simulation of phase‐field fracture using trimmed hexahedral meshes |
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