Graded damage solutions in one dimension
A regularized damage model is considered named "Graded damage" in which the gradient enhancement has the form of an explicit bound for the spatial gradient of damage. The key features of the proposed approach are demonstrated by computing the analytical solution of two problems that are on...
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| creator | Valoroso, Nunziante |
| description | A regularized damage model is considered named "Graded damage" in which the
gradient enhancement has the form of an explicit bound for the spatial gradient
of damage. The key features of the proposed approach are demonstrated by
computing the analytical solution of two problems that are one-parameter
dependent. The first one is the classical one-dimensional damageable rod under
tensile load, for which the hardening function is determined based on the
equivalence with a given cohesive relationship. The second application is a
mode-I delamination problem for which the cohesive law for the interface is
formulated starting from the graded damage concept, i.e. by prescribing the
shape of damage distribution within the cohesive process zone. |
| doi_str_mv | 10.48550/arxiv.2304.10430 |
| format | Article |
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gradient enhancement has the form of an explicit bound for the spatial gradient
of damage. The key features of the proposed approach are demonstrated by
computing the analytical solution of two problems that are one-parameter
dependent. The first one is the classical one-dimensional damageable rod under
tensile load, for which the hardening function is determined based on the
equivalence with a given cohesive relationship. The second application is a
mode-I delamination problem for which the cohesive law for the interface is
formulated starting from the graded damage concept, i.e. by prescribing the
shape of damage distribution within the cohesive process zone.</description><identifier>DOI: 10.48550/arxiv.2304.10430</identifier><language>eng</language><subject>Mathematics - Mathematical Physics ; Physics - Classical Physics ; Physics - Mathematical Physics</subject><creationdate>2023-04</creationdate><rights>http://creativecommons.org/licenses/by-nc-nd/4.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,776,881</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/2304.10430$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.2304.10430$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Valoroso, Nunziante</creatorcontrib><title>Graded damage solutions in one dimension</title><description>A regularized damage model is considered named "Graded damage" in which the
gradient enhancement has the form of an explicit bound for the spatial gradient
of damage. The key features of the proposed approach are demonstrated by
computing the analytical solution of two problems that are one-parameter
dependent. The first one is the classical one-dimensional damageable rod under
tensile load, for which the hardening function is determined based on the
equivalence with a given cohesive relationship. The second application is a
mode-I delamination problem for which the cohesive law for the interface is
formulated starting from the graded damage concept, i.e. by prescribing the
shape of damage distribution within the cohesive process zone.</description><subject>Mathematics - Mathematical Physics</subject><subject>Physics - Classical Physics</subject><subject>Physics - Mathematical Physics</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2023</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNotzjELwjAUBOAsDqL-ACczurSm5qUmoxStguDiXl6SpwRsK62K_ntrlRsObjg-xqaJiEErJRbYvMIzXkoBcSJAiiGb5w168txjiRfibX193ENdtTxUvK6I-1BS1XbLmA3OeG1p8u8RO203p2wXHY75PlsfIkxXIjJkrdbGeNJKLlcWQZ9tSkgEXZTxCrQzzqGx3jjlILGpJECvhNCAWo7Y7HfbU4tbE0ps3sWXXPRk-QESXDu2</recordid><startdate>20230420</startdate><enddate>20230420</enddate><creator>Valoroso, Nunziante</creator><scope>AKZ</scope><scope>GOX</scope></search><sort><creationdate>20230420</creationdate><title>Graded damage solutions in one dimension</title><author>Valoroso, Nunziante</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a670-9ebb8899de85327ba48fb6eaee4e4e59d548c9cca9bd9c5c41b63e4ad50084a83</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2023</creationdate><topic>Mathematics - Mathematical Physics</topic><topic>Physics - Classical Physics</topic><topic>Physics - Mathematical Physics</topic><toplevel>online_resources</toplevel><creatorcontrib>Valoroso, Nunziante</creatorcontrib><collection>arXiv Mathematics</collection><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Valoroso, Nunziante</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Graded damage solutions in one dimension</atitle><date>2023-04-20</date><risdate>2023</risdate><abstract>A regularized damage model is considered named "Graded damage" in which the
gradient enhancement has the form of an explicit bound for the spatial gradient
of damage. The key features of the proposed approach are demonstrated by
computing the analytical solution of two problems that are one-parameter
dependent. The first one is the classical one-dimensional damageable rod under
tensile load, for which the hardening function is determined based on the
equivalence with a given cohesive relationship. The second application is a
mode-I delamination problem for which the cohesive law for the interface is
formulated starting from the graded damage concept, i.e. by prescribing the
shape of damage distribution within the cohesive process zone.</abstract><doi>10.48550/arxiv.2304.10430</doi><oa>free_for_read</oa></addata></record> |
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| identifier | DOI: 10.48550/arxiv.2304.10430 |
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| subjects | Mathematics - Mathematical Physics Physics - Classical Physics Physics - Mathematical Physics |
| title | Graded damage solutions in one dimension |
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