A dual Lagrange method for contact problems with regularized frictional contact conditions: Modelling micro slip
This paper presents an algorithm for solving quasi-static, non-linear elasticity contact problems with friction in the context of rough surfaces. Here, we want to model the transition from sticking to slipping also called micro slip in a physically correct way in order to reproduce measured friction...
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| Veröffentlicht in: | Computer methods in applied mechanics and engineering 2015-03, Vol.285, p.468-487 |
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| container_title | Computer methods in applied mechanics and engineering |
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| creator | Sitzmann, Saskia Willner, Kai Wohlmuth, Barbara I. |
| description | This paper presents an algorithm for solving quasi-static, non-linear elasticity contact problems with friction in the context of rough surfaces. Here, we want to model the transition from sticking to slipping also called micro slip in a physically correct way in order to reproduce measured frictional damping. The popular dual Mortar method is used to enforce the contact constraints in a variationally consistent way without increasing the algebraic system size. The algorithm is deduced from a perturbed Lagrange formulation and combined with a serial–parallel Iwan model. This leads to a regularized saddle point problem, for which a non-linear complementary function and thus a semi-smooth Newton method can be derived. Numerical examples demonstrate the applicability to industrial problems and show good agreement to experimentally obtained results. |
| doi_str_mv | 10.1016/j.cma.2014.11.022 |
| format | Article |
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Numerical examples demonstrate the applicability to industrial problems and show good agreement to experimentally obtained results.</description><subject>Algorithms</subject><subject>Constitutive contact equations</subject><subject>Contact</subject><subject>Contact with friction</subject><subject>Damping</subject><subject>Dual Mortar methods</subject><subject>Friction</subject><subject>Iwan model</subject><subject>Mathematical models</subject><subject>Micro slip</subject><subject>Mortars</subject><subject>Nonlinearity</subject><subject>Rough surfaces</subject><subject>Slip</subject><issn>0045-7825</issn><issn>1879-2138</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2015</creationdate><recordtype>article</recordtype><recordid>eNp9UMtOwzAQtBBIlMIHcPORS4LXbpwETlXFSyriAmfLtTetqyQudgKCr8dV4cpedrU7M5odQi6B5cBAXm9z0-mcM5jlADnj_IhMoCrrjIOojsmEsVmRlRUvTslZjFuWqgI-Ibs5taNu6VKvg-7XSDscNt7SxgdqfD9oM9Bd8KsWu0g_3bChAddjq4P7xoQKzgzO90ngD5y6dftdvKHP3mLbun5NO2eCp7F1u3Ny0ug24sVvn5K3-7vXxWO2fHl4WsyXmRGCDVmNnK-0xspaMYOGlY0UpiyQl7LWzarSJWOy0sIgq2UtwKazSIPksmjkrBBTcnXQTe7fR4yD6lw0yY7u0Y9Rgay54IwDS1A4QJPHGAM2ahdcp8OXAqb26aqtSumqfboKQKV0E-f2wMH0w4fDoKJx2Bu0LqAZlPXuH_YP7bWDag</recordid><startdate>20150301</startdate><enddate>20150301</enddate><creator>Sitzmann, Saskia</creator><creator>Willner, Kai</creator><creator>Wohlmuth, Barbara I.</creator><general>Elsevier B.V</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></search><sort><creationdate>20150301</creationdate><title>A dual Lagrange method for contact problems with regularized frictional contact conditions: Modelling micro slip</title><author>Sitzmann, Saskia ; Willner, Kai ; Wohlmuth, Barbara I.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c330t-9e22baae8dd341f07f63c75e2769afb8a70068a3ce096931d63c36936265f6453</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2015</creationdate><topic>Algorithms</topic><topic>Constitutive contact equations</topic><topic>Contact</topic><topic>Contact with friction</topic><topic>Damping</topic><topic>Dual Mortar methods</topic><topic>Friction</topic><topic>Iwan model</topic><topic>Mathematical models</topic><topic>Micro slip</topic><topic>Mortars</topic><topic>Nonlinearity</topic><topic>Rough surfaces</topic><topic>Slip</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Sitzmann, Saskia</creatorcontrib><creatorcontrib>Willner, Kai</creatorcontrib><creatorcontrib>Wohlmuth, Barbara I.</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>Computer methods in applied mechanics and engineering</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Sitzmann, Saskia</au><au>Willner, Kai</au><au>Wohlmuth, Barbara I.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>A dual Lagrange method for contact problems with regularized frictional contact conditions: Modelling micro slip</atitle><jtitle>Computer methods in applied mechanics and engineering</jtitle><date>2015-03-01</date><risdate>2015</risdate><volume>285</volume><spage>468</spage><epage>487</epage><pages>468-487</pages><issn>0045-7825</issn><eissn>1879-2138</eissn><abstract>This paper presents an algorithm for solving quasi-static, non-linear elasticity contact problems with friction in the context of rough surfaces. 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| ispartof | Computer methods in applied mechanics and engineering, 2015-03, Vol.285, p.468-487 |
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| source | ScienceDirect Journals (5 years ago - present) |
| subjects | Algorithms Constitutive contact equations Contact Contact with friction Damping Dual Mortar methods Friction Iwan model Mathematical models Micro slip Mortars Nonlinearity Rough surfaces Slip |
| title | A dual Lagrange method for contact problems with regularized frictional contact conditions: Modelling micro slip |
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