Thermomechanics of damage and fatigue by a phase field model
In the paper we present an isothermal model for describing damage and fatigue by the use of the Ginzburg-Landau (G-L) equation. Fatigue produces progressive damage, which is related with a variation of the internal structure of the material. The G-L equation studies the evolution of the order parame...
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| creator | Amendola, Giovambattista Fabrizio, Mauro |
| description | In the paper we present an isothermal model for describing damage and fatigue
by the use of the Ginzburg-Landau (G-L) equation.
Fatigue produces progressive damage, which is related with a variation of the
internal structure of the material. The G-L equation studies the evolution of
the order parameter, which describes the constitutive arrangement of the system
and, in this framework, the evolution of damage. The thermodynamic coherence of
the model is proved.
In the last part of the work, we extend the results of the paper to a
non-isothermal system, where fatigue contains thermal effects, which increase
the damage of materials. |
| doi_str_mv | 10.48550/arxiv.1410.7042 |
| format | Article |
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by the use of the Ginzburg-Landau (G-L) equation.
Fatigue produces progressive damage, which is related with a variation of the
internal structure of the material. The G-L equation studies the evolution of
the order parameter, which describes the constitutive arrangement of the system
and, in this framework, the evolution of damage. The thermodynamic coherence of
the model is proved.
In the last part of the work, we extend the results of the paper to a
non-isothermal system, where fatigue contains thermal effects, which increase
the damage of materials.</description><identifier>DOI: 10.48550/arxiv.1410.7042</identifier><language>eng</language><subject>Mathematics - Mathematical Physics ; Physics - Mathematical Physics</subject><creationdate>2014-10</creationdate><rights>http://arxiv.org/licenses/nonexclusive-distrib/1.0</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/1410.7042$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.1410.7042$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Amendola, Giovambattista</creatorcontrib><creatorcontrib>Fabrizio, Mauro</creatorcontrib><title>Thermomechanics of damage and fatigue by a phase field model</title><description>In the paper we present an isothermal model for describing damage and fatigue
by the use of the Ginzburg-Landau (G-L) equation.
Fatigue produces progressive damage, which is related with a variation of the
internal structure of the material. The G-L equation studies the evolution of
the order parameter, which describes the constitutive arrangement of the system
and, in this framework, the evolution of damage. The thermodynamic coherence of
the model is proved.
In the last part of the work, we extend the results of the paper to a
non-isothermal system, where fatigue contains thermal effects, which increase
the damage of materials.</description><subject>Mathematics - Mathematical Physics</subject><subject>Physics - Mathematical Physics</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2014</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNotjz1Pw0AQRK-hQCY9VbR_wOG-7YIGRSQgRaJxb6339uKTfHFkQ5T8-yRANaMpnuYJ8azkytbOyReczum0UvY2VNLqR_Ha9DzlMTP1eEg0wxghYMY9Ax4CRPxO-x-G7gIIxx5nhph4CJDHwMOTeIg4zLz4z0I0m_dm_VHuvraf67ddid7pEiuSTpvgSRJZZW4tkuukRud0jWRNpZRj733QNevORB9jMIa0Z0XUmUIs_7C_79vjlDJOl_Zu0d4tzBUFBUFy</recordid><startdate>20141026</startdate><enddate>20141026</enddate><creator>Amendola, Giovambattista</creator><creator>Fabrizio, Mauro</creator><scope>AKZ</scope><scope>GOX</scope></search><sort><creationdate>20141026</creationdate><title>Thermomechanics of damage and fatigue by a phase field model</title><author>Amendola, Giovambattista ; Fabrizio, Mauro</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a652-a7c0523d6c0cc4133d6fc5b02a5528ac437115e666d28e2b3f6ffd33c26e1ccb3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2014</creationdate><topic>Mathematics - Mathematical Physics</topic><topic>Physics - Mathematical Physics</topic><toplevel>online_resources</toplevel><creatorcontrib>Amendola, Giovambattista</creatorcontrib><creatorcontrib>Fabrizio, Mauro</creatorcontrib><collection>arXiv Mathematics</collection><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Amendola, Giovambattista</au><au>Fabrizio, Mauro</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Thermomechanics of damage and fatigue by a phase field model</atitle><date>2014-10-26</date><risdate>2014</risdate><abstract>In the paper we present an isothermal model for describing damage and fatigue
by the use of the Ginzburg-Landau (G-L) equation.
Fatigue produces progressive damage, which is related with a variation of the
internal structure of the material. The G-L equation studies the evolution of
the order parameter, which describes the constitutive arrangement of the system
and, in this framework, the evolution of damage. The thermodynamic coherence of
the model is proved.
In the last part of the work, we extend the results of the paper to a
non-isothermal system, where fatigue contains thermal effects, which increase
the damage of materials.</abstract><doi>10.48550/arxiv.1410.7042</doi><oa>free_for_read</oa></addata></record> |
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| title | Thermomechanics of damage and fatigue by a phase field model |
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