Quasistatic contact problem with unilateral constraint for elastic-viscoplastic materials
This paper consists of two parts. In the first part we prove the unique solvability for the abstract variational-hemivariational inequality with history-dependent operator. The proof is based on the existing result for the static variational-hemivariational inequality and a fixed point argument. In...
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| creator | Ogorzaly, Justyna |
| description | This paper consists of two parts. In the first part we prove the unique
solvability for the abstract variational-hemivariational inequality with
history-dependent operator. The proof is based on the existing result for the
static variational-hemivariational inequality and a fixed point argument. In
the second part, we consider a mathematical model which describes quasistatic
frictional contact between a deformable body and a rigid foundation. In the
model the material behaviour is modelled by an elastic-viscoplastic
constitutive law. The contact is described with a normal damped response,
unilateral constraint and memory term. In the analysis of this model we use the
abstract result from the first part of the paper. |
| doi_str_mv | 10.48550/arxiv.1608.04660 |
| format | Article |
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solvability for the abstract variational-hemivariational inequality with
history-dependent operator. The proof is based on the existing result for the
static variational-hemivariational inequality and a fixed point argument. In
the second part, we consider a mathematical model which describes quasistatic
frictional contact between a deformable body and a rigid foundation. In the
model the material behaviour is modelled by an elastic-viscoplastic
constitutive law. The contact is described with a normal damped response,
unilateral constraint and memory term. In the analysis of this model we use the
abstract result from the first part of the paper.</description><identifier>DOI: 10.48550/arxiv.1608.04660</identifier><language>eng</language><subject>Mathematics - Analysis of PDEs</subject><creationdate>2016-08</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>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,781,886</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/1608.04660$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.1608.04660$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Ogorzaly, Justyna</creatorcontrib><title>Quasistatic contact problem with unilateral constraint for elastic-viscoplastic materials</title><description>This paper consists of two parts. In the first part we prove the unique
solvability for the abstract variational-hemivariational inequality with
history-dependent operator. The proof is based on the existing result for the
static variational-hemivariational inequality and a fixed point argument. In
the second part, we consider a mathematical model which describes quasistatic
frictional contact between a deformable body and a rigid foundation. In the
model the material behaviour is modelled by an elastic-viscoplastic
constitutive law. The contact is described with a normal damped response,
unilateral constraint and memory term. In the analysis of this model we use the
abstract result from the first part of the paper.</description><subject>Mathematics - Analysis of PDEs</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2016</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNotj8lKBDEURbNxIa0f4Mr8QJWvhkxLaZygQYTeuCpe5aUwkBpI0q3-vV3dri6XO8Bh7K6CstVCwAPGH38sKwm6hFZKuGafHwdMPmXM3nI7Txlt5kuc--BG_u3zFz9MPmB2EcOapxzRT5kPc-QuYDrNiqNPdl4uho9r12NIN-xqOIm7_dcN2z8_7bevxe795W37uCtQKigq0GSJeqfFoBVK09corWo1IUglLBlhnHBm0BURNYJMXSNo7HXragLVbNj95fbM1i3Rjxh_u5WxOzM2f9niT04</recordid><startdate>20160816</startdate><enddate>20160816</enddate><creator>Ogorzaly, Justyna</creator><scope>AKZ</scope><scope>GOX</scope></search><sort><creationdate>20160816</creationdate><title>Quasistatic contact problem with unilateral constraint for elastic-viscoplastic materials</title><author>Ogorzaly, Justyna</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a670-108dcddbe85f87a69b2a6c748da0675cd959e5e9f81ddd35d922a08ab84e2d073</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2016</creationdate><topic>Mathematics - Analysis of PDEs</topic><toplevel>online_resources</toplevel><creatorcontrib>Ogorzaly, Justyna</creatorcontrib><collection>arXiv Mathematics</collection><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Ogorzaly, Justyna</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Quasistatic contact problem with unilateral constraint for elastic-viscoplastic materials</atitle><date>2016-08-16</date><risdate>2016</risdate><abstract>This paper consists of two parts. In the first part we prove the unique
solvability for the abstract variational-hemivariational inequality with
history-dependent operator. The proof is based on the existing result for the
static variational-hemivariational inequality and a fixed point argument. In
the second part, we consider a mathematical model which describes quasistatic
frictional contact between a deformable body and a rigid foundation. In the
model the material behaviour is modelled by an elastic-viscoplastic
constitutive law. The contact is described with a normal damped response,
unilateral constraint and memory term. In the analysis of this model we use the
abstract result from the first part of the paper.</abstract><doi>10.48550/arxiv.1608.04660</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Mathematics - Analysis of PDEs |
| title | Quasistatic contact problem with unilateral constraint for elastic-viscoplastic materials |
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