Steady state crack growth in viscoelastic solids: A comparative study
We compare the predictions of different theories on the steady state growth of a Mode I crack in linear viscoelastic solids. The theories studied in this work include those by Knauss, Schapery, Persson and Brener. The comparisons focus on the fractional dissipation rate and the relationship between...
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| Veröffentlicht in: | Journal of the mechanics and physics of solids 2022-02, Vol.159, p.104748, Article 104748 |
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| creator | Hui, Chung-Yuen Zhu, Bangguo Long, Rong |
| description | We compare the predictions of different theories on the steady state growth of a Mode I crack in linear viscoelastic solids. The theories studied in this work include those by Knauss, Schapery, Persson and Brener. The comparisons focus on the fractional dissipation rate and the relationship between crack growth velocity and fracture energy. Analytical solutions are carried out using realistic constitutive models such as the Generalized Maxwell Solid (GMS) and the Power Law Solid (PLS). These theories are tested against two different sets of experimental data reported in the literature. We also present new results such as the strain field directly ahead of the crack tip, the residual strain on the crack surfaces and the crack opening displacement (COD). We use the expressions for COD to study the shape and size of the “viscoelastic trumpet” proposed by de Gennes. Using a new approach, we study the shape and size of the viscoelastic dissipation zone around the crack tip and discuss its dependence on the crack growth velocity. |
| doi_str_mv | 10.1016/j.jmps.2021.104748 |
| format | Article |
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The theories studied in this work include those by Knauss, Schapery, Persson and Brener. The comparisons focus on the fractional dissipation rate and the relationship between crack growth velocity and fracture energy. Analytical solutions are carried out using realistic constitutive models such as the Generalized Maxwell Solid (GMS) and the Power Law Solid (PLS). These theories are tested against two different sets of experimental data reported in the literature. We also present new results such as the strain field directly ahead of the crack tip, the residual strain on the crack surfaces and the crack opening displacement (COD). We use the expressions for COD to study the shape and size of the “viscoelastic trumpet” proposed by de Gennes. Using a new approach, we study the shape and size of the viscoelastic dissipation zone around the crack tip and discuss its dependence on the crack growth velocity.</description><identifier>ISSN: 0022-5096</identifier><identifier>EISSN: 1873-4782</identifier><identifier>DOI: 10.1016/j.jmps.2021.104748</identifier><language>eng</language><publisher>London: Elsevier Ltd</publisher><subject>Comparative studies ; Constitutive models ; Crack opening displacement ; Crack propagation ; Crack tips ; Dissipation zone ; Energy release rate ; Exact solutions ; Fracture ; Steady state ; Steady-state crack growth ; Viscoelasticity</subject><ispartof>Journal of the mechanics and physics of solids, 2022-02, Vol.159, p.104748, Article 104748</ispartof><rights>2021 Elsevier Ltd</rights><rights>Copyright Elsevier BV Feb 2022</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c372t-1560d72f6459b6eb8d439cf1d4dc753ca929962f9ea706dae36808d8ecc80a7e3</citedby><cites>FETCH-LOGICAL-c372t-1560d72f6459b6eb8d439cf1d4dc753ca929962f9ea706dae36808d8ecc80a7e3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://www.sciencedirect.com/science/article/pii/S0022509621003525$$EHTML$$P50$$Gelsevier$$H</linktohtml><link.rule.ids>314,776,780,3536,27903,27904,65309</link.rule.ids></links><search><creatorcontrib>Hui, Chung-Yuen</creatorcontrib><creatorcontrib>Zhu, Bangguo</creatorcontrib><creatorcontrib>Long, Rong</creatorcontrib><title>Steady state crack growth in viscoelastic solids: A comparative study</title><title>Journal of the mechanics and physics of solids</title><description>We compare the predictions of different theories on the steady state growth of a Mode I crack in linear viscoelastic solids. 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Using a new approach, we study the shape and size of the viscoelastic dissipation zone around the crack tip and discuss its dependence on the crack growth velocity.</description><subject>Comparative studies</subject><subject>Constitutive models</subject><subject>Crack opening displacement</subject><subject>Crack propagation</subject><subject>Crack tips</subject><subject>Dissipation zone</subject><subject>Energy release rate</subject><subject>Exact solutions</subject><subject>Fracture</subject><subject>Steady state</subject><subject>Steady-state crack growth</subject><subject>Viscoelasticity</subject><issn>0022-5096</issn><issn>1873-4782</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2022</creationdate><recordtype>article</recordtype><recordid>eNp9kE1LAzEQhoMoWKt_wFPA89ZJdjcf4qWU-gEFD-o5pMmsZm27NUkr_fduWc-eBob3eWd4CLlmMGHAxG07adfbNOHAWb-oZKVOyIgpWRaVVPyUjAA4L2rQ4pxcpNQCQA2Sjcj8NaP1B5qyzUhdtO6LfsTuJ3_SsKH7kFyHK5tycDR1q-DTHZ1S1623Ntoc9tiDO3-4JGeNXSW8-ptj8v4wf5s9FYuXx-fZdFG4UvJcsFqAl7wRVa2XApfKV6V2DfOVd7IundVca8EbjVaC8BZLoUB5hc4psBLLMbkZerex-95hyqbtdnHTnzRclEpKrjn0KT6kXOxSitiYbQxrGw-GgTnqMq056jJHXWbQ1UP3A4T9__uA0SQXcOPQh4guG9-F__BfR_RzXg</recordid><startdate>202202</startdate><enddate>202202</enddate><creator>Hui, Chung-Yuen</creator><creator>Zhu, Bangguo</creator><creator>Long, Rong</creator><general>Elsevier Ltd</general><general>Elsevier BV</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7SR</scope><scope>7TB</scope><scope>7U5</scope><scope>8BQ</scope><scope>8FD</scope><scope>FR3</scope><scope>JG9</scope><scope>KR7</scope><scope>L7M</scope></search><sort><creationdate>202202</creationdate><title>Steady state crack growth in viscoelastic solids: A comparative study</title><author>Hui, Chung-Yuen ; Zhu, Bangguo ; Long, Rong</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c372t-1560d72f6459b6eb8d439cf1d4dc753ca929962f9ea706dae36808d8ecc80a7e3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2022</creationdate><topic>Comparative studies</topic><topic>Constitutive models</topic><topic>Crack opening displacement</topic><topic>Crack propagation</topic><topic>Crack tips</topic><topic>Dissipation zone</topic><topic>Energy release rate</topic><topic>Exact solutions</topic><topic>Fracture</topic><topic>Steady state</topic><topic>Steady-state crack growth</topic><topic>Viscoelasticity</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Hui, Chung-Yuen</creatorcontrib><creatorcontrib>Zhu, Bangguo</creatorcontrib><creatorcontrib>Long, Rong</creatorcontrib><collection>CrossRef</collection><collection>Engineered Materials Abstracts</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Solid State and Superconductivity Abstracts</collection><collection>METADEX</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>Materials Research Database</collection><collection>Civil Engineering Abstracts</collection><collection>Advanced Technologies Database with Aerospace</collection><jtitle>Journal of the mechanics and physics of solids</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Hui, Chung-Yuen</au><au>Zhu, Bangguo</au><au>Long, Rong</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Steady state crack growth in viscoelastic solids: A comparative study</atitle><jtitle>Journal of the mechanics and physics of solids</jtitle><date>2022-02</date><risdate>2022</risdate><volume>159</volume><spage>104748</spage><pages>104748-</pages><artnum>104748</artnum><issn>0022-5096</issn><eissn>1873-4782</eissn><abstract>We compare the predictions of different theories on the steady state growth of a Mode I crack in linear viscoelastic solids. 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| source | Elsevier ScienceDirect Journals |
| subjects | Comparative studies Constitutive models Crack opening displacement Crack propagation Crack tips Dissipation zone Energy release rate Exact solutions Fracture Steady state Steady-state crack growth Viscoelasticity |
| title | Steady state crack growth in viscoelastic solids: A comparative study |
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